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132340144103024 = 241113293332359407
BaseRepresentation
bin11110000101110011010111…
…010001110101111001110000
3122100120121001011222220011112
4132011303113101311321300
5114321230103342244044
61145244120051332452
736606155066322344
oct3605632721657160
9570517034886145
10132340144103024
113919315a278060
1212a144a65b1128
1358ac811813470
14249742354d624
15104770e1d409e
hex785cd7475e70

132340144103024 has 160 divisors (see below), whose sum is σ = 302359941725184. Its totient is φ = 55320235914240.

The previous prime is 132340144103023. The next prime is 132340144103029. The reversal of 132340144103024 is 420301441043231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132340144103023) 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, 2227656329 + ... + 2227715735.

Almost surely, 2132340144103024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340144103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151179970862592).

132340144103024 is an abundant number, since it is smaller than the sum of its proper divisors (170019797622160).

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

132340144103024 is a wasteful number, since it uses less digits than its factorization.

132340144103024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63055 (or 63049 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132340144103024 its reverse (420301441043231), we get a palindrome (552641585146255).

The spelling of 132340144103024 in words is "one hundred thirty-two trillion, three hundred forty billion, one hundred forty-four million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 293 572 586 1144 1172 2288 2344 3223 3323 3809 4688 6446 6646 7618 12892 13292 15236 25784 26584 30472 36553 41899 43199 51568 53168 59407 60944 73106 83798 86398 118814 146212 167596 172796 237628 292424 335192 345592 475189 475256 584848 653477 670384 691184 772291 950378 950512 973639 1306954 1544582 1900756 1947278 2613908 3089164 3801512 3894556 5227816 6178328 7603024 7789112 8495201 10455632 10710029 12356656 12657307 15578224 16990402 17406251 21420058 25314614 33980804 34812502 42840116 50629228 67961608 69625004 85680232 101258456 135923216 139230377 139250008 171360464 191468761 197409461 202516912 226281263 278460754 278500016 382937522 394818922 452562526 556921508 765875044 789637844 905125052 1113843016 1531750088 1579275688 1810250104 2171504071 2227686032 2489093893 2566322993 3063500176 3158551376 3620500208 4343008142 4978187786 5132645986 8686016284 9956375572 10265291972 17372032568 19912751144 20530583944 28229552923 34744065136 39825502288 41061167888 56459105846 57840972073 112918211692 115681944146 225836423384 231363888292 451672846768 462727776584 636250692803 751932636949 925455553168 1272501385606 1503865273898 2545002771212 3007730547796 5090005542424 6015461095592 8271259006439 10180011084848 12030922191184 16542518012878 33085036025756 66170072051512 132340144103024