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132141423201424 = 24713799067126703
BaseRepresentation
bin11110000010111010010010…
…100101110000110010010000
3122022212121002222120010210221
4132002322102211300302100
5114310001113314421144
61145012533133002424
736555621436453240
oct3602722245606220
9568777088503727
10132141423201424
113911695452847a
12129a1a87323414
135896b624c1660
14248b9712abb20
15104247d1c1d84
hex782e92970c90

132141423201424 has 160 divisors (see below), whose sum is σ = 319132871966720. Its totient is φ = 51607909956096.

The previous prime is 132141423201407. The next prime is 132141423201427. The reversal of 132141423201424 is 424102324141231.

It is a super-2 number, since 2×1321414232014242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141423201424.

It is not an unprimeable number, because it can be changed into a prime (132141423201427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042859257 + ... + 1042985959.

It is an arithmetic number, because the mean of its divisors is an integer number (1994580449792).

Almost surely, 2132141423201424 is an apocalyptic number.

132141423201424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132141423201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159566435983360).

132141423201424 is an abundant number, since it is smaller than the sum of its proper divisors (186991448765296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132141423201424 is a wasteful number, since it uses less digits than its factorization.

132141423201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135877 (or 135871 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 132141423201424 its reverse (424102324141231), we get a palindrome (556243747342655).

The spelling of 132141423201424 in words is "one hundred thirty-two trillion, one hundred forty-one billion, four hundred twenty-three million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 79 91 104 112 158 182 208 316 364 553 632 728 1027 1106 1264 1456 2054 2212 4108 4424 7189 8216 8848 9067 14378 16432 18134 28756 36268 57512 63469 72536 115024 117871 126703 126938 145072 235742 253406 253876 471484 506812 507752 716293 825097 886921 942968 1013624 1015504 1432586 1647139 1650194 1773842 1885936 2027248 2865172 3294278 3300388 3547684 5014051 5730344 6588556 6600776 7095368 9311809 10009537 10028102 11460688 11529973 13177112 13201552 14190736 18623618 20019074 20056204 23059946 26354224 37247236 40038148 40112408 46119892 65182663 70066759 74494472 80076296 80224816 92239784 130123981 130365326 140133518 148988944 160152592 184479568 260247962 260730652 280267036 520495924 521461304 560534072 910867867 1040991848 1042922608 1121068144 1148816101 1821735734 2081983696 2297632202 3643471468 4595264404 7286942936 8041712707 9190528808 14573885872 14934609313 16083425414 18381057616 29869218626 32166850828 59738437252 64333701656 90756471979 104542265191 119476874504 128667403312 181512943958 209084530382 238953749008 363025887916 418169060764 635295303853 726051775832 836338121528 1179834135727 1270590607706 1452103551664 1672676243056 2359668271454 2541181215412 4719336542908 5082362430824 8258838950089 9438673085816 10164724861648 16517677900178 18877346171632 33035355800356 66070711600712 132141423201424