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132324141423232 = 27111731178330577
BaseRepresentation
bin11110000101100100011101…
…011100011101101010000000
3122100112001201221010112101101
4132011210131130131222000
5114320444320201020412
61145232512114344144
736605050402641253
oct3605443534355200
9570461657115341
10132324141423232
1139187398171960
1212a1137b28b054
1358ab16132c575
1424967460c109a
1510470c435e457
hex78591d71da80

132324141423232 has 128 divisors (see below), whose sum is σ = 314318343559680. Its totient is φ = 54783152947200.

The previous prime is 132324141423193. The next prime is 132324141423247. The reversal of 132324141423232 is 232324141423231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 132324141423191 and 132324141423200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88423273 + ... + 89907304.

It is an arithmetic number, because the mean of its divisors is an integer number (2455612059060).

Almost surely, 2132324141423232 is an apocalyptic number.

It is an amenable number.

132324141423232 is an abundant number, since it is smaller than the sum of its proper divisors (181994202136448).

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

132324141423232 is a wasteful number, since it uses less digits than its factorization.

132324141423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178330650 (or 178330638 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 132324141423232 its reverse (232324141423231), we get a palindrome (364648282846463).

Subtracting 132324141423232 from its reverse (232324141423231), we obtain a palindrome (99999999999999).

The spelling of 132324141423232 in words is "one hundred thirty-two trillion, three hundred twenty-four billion, one hundred forty-one million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 88 124 128 136 176 187 248 272 341 352 374 496 527 544 682 704 748 992 1054 1088 1364 1408 1496 1984 2108 2176 2728 2992 3968 4216 5456 5797 5984 8432 10912 11594 11968 16864 21824 23188 23936 33728 43648 46376 67456 92752 185504 371008 742016 178330577 356661154 713322308 1426644616 1961636347 2853289232 3031619809 3923272694 5528247887 5706578464 6063239618 7846545388 11056495774 11413156928 12126479236 15693090776 22112991548 22826313856 24252958472 31386181552 33347817899 44225983096 48505916944 60810726757 62772363104 66695635798 88451966192 93980214079 97011833888 121621453514 125544726208 133391271596 176903932384 187960428158 194023667776 243242907028 251089452416 266782543192 353807864768 375920856316 388047335552 486485814056 533565086384 707615729536 751841712632 972971628112 1033782354869 1067130172768 1503683425264 1945943256224 2067564709738 2134260345536 3007366850528 3891886512448 4135129419476 4268520691072 6014733701056 7783773024896 8270258838952 12029467402112 16540517677904 33081035355808 66162070711616 132324141423232