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32132034421344 = 25321113780206741
BaseRepresentation
bin1110100111001010100100…
…11111110110001001100000
311012202210101201121011111200
413103211102133312021200
513202422401302440334
6152201130340041200
76524314524065214
oct723452237661140
9135683351534450
1032132034421344
11a269134828920
12372b4a1393200
1314c10651b4a50
147d12ad5a0944
153aac6452b799
hex1d39527f6260

32132034421344 has 144 divisors (see below), whose sum is σ = 107350206045264. Its totient is φ = 8987981644800.

The previous prime is 32132034421327. The next prime is 32132034421373. The reversal of 32132034421344 is 44312443023123.

32132034421344 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 203 + 442 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32132034421299 and 32132034421308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390062187 + ... + 390144554.

It is an arithmetic number, because the mean of its divisors is an integer number (745487541981).

Almost surely, 232132034421344 is an apocalyptic number.

It is an amenable number.

32132034421344 is an abundant number, since it is smaller than the sum of its proper divisors (75218171623920).

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

32132034421344 is a wasteful number, since it uses less digits than its factorization.

32132034421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780206781 (or 780206770 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 32132034421344 its reverse (44312443023123), we get a palindrome (76444477444467).

The spelling of 32132034421344 in words is "thirty-two trillion, one hundred thirty-two billion, thirty-four million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 780206741 1560413482 2340620223 3120826964 4681240446 6241653928 7021860669 8582274151 9362480892 10142687633 12483307856 14043721338 17164548302 18724961784 20285375266 24966615712 25746822453 28087442676 30428062899 34329096604 37449923568 40570750532 51493644906 56174885352 60856125798 68658193208 74899847136 77240467359 81141501064 91284188697 102987289812 111569563963 112349770704 121712251596 137316386416 154480934718 162283002128 182568377394 205974579624 223139127926 224699541408 243424503192 274632772832 308961869436 324566004256 334708691889 365136754788 411949159248 446278255852 486849006384 617923738872 669417383778 730273509576 823898318496 892556511704 973698012768 1004126075667 1235847477744 1338834767556 1460547019152 1785113023408 2008252151334 2471694955488 2677669535112 2921094038304 3570226046816 4016504302668 5355339070224 8033008605336 10710678140448 16066017210672 32132034421344