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132114443141032 = 231125912231891457
BaseRepresentation
bin11110000010100001001010…
…011100111111111110101000
3122022210000110200211001202221
4132002201022130333332220
5114304030334421003112
61144552312020403424
736553645026645112
oct3602411234777650
9568700420731687
10132114443141032
1139106469a33800
12129987b7846574
1358944529a2891
14248a531d7a3b2
1510418ee779e07
hex78284a73ffa8

132114443141032 has 96 divisors (see below), whose sum is σ = 277122807662400. Its totient is φ = 58985887600640.

The previous prime is 132114443141017. The next prime is 132114443141047. The reversal of 132114443141032 is 230141344411231.

It is an interprime number because it is at equal distance from previous prime (132114443141017) and next prime (132114443141047).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68902248 + ... + 70793704.

It is an arithmetic number, because the mean of its divisors is an integer number (2886695913150).

Almost surely, 2132114443141032 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 132114443141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138561403831200).

132114443141032 is an abundant number, since it is smaller than the sum of its proper divisors (145008364521368).

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

132114443141032 is a wasteful number, since it uses less digits than its factorization.

132114443141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892767 (or 1892752 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 132114443141032 its reverse (230141344411231), we get a palindrome (362255787552263).

The spelling of 132114443141032 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-three million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 472 484 649 968 1223 1298 2446 2596 4892 5192 7139 9784 13453 14278 26906 28556 53812 57112 72157 107624 144314 147983 288628 295966 577256 591932 793727 1183864 1587454 1891457 3174908 3782914 6349816 7565828 8730997 15131656 17461994 20806027 34923988 41612054 69847976 83224108 111595963 166448216 223191926 228866297 446383852 457732594 892767704 915465188 1227555593 1830930376 2313251911 2455111186 4626503822 4910222372 9253007644 9820444744 13503111523 18506015288 25445771021 27006223046 50891542042 54012446092 101783084084 108024892184 136481862749 203566168168 272963725498 279903481231 545927450996 559806962462 1091854901992 1119613924924 1501300490239 2239227849848 3002600980478 6005201960956 12010403921912 16514305392629 33028610785258 66057221570516 132114443141032