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132032241304440 = 233513192713307471
BaseRepresentation
bin11110000001010100100110…
…110101111000001101111000
3122022111011021220120002210120
4132001110212311320031320
5114301204012233220230
61144450435130013240
736545005010604621
oct3601244665701570
9568434256502716
10132032241304440
1139084617163264
1212984896577220
135889782645499
142486574a06a48
15103e6dcd2a310
hex781526d78378

132032241304440 has 128 divisors (see below), whose sum is σ = 396544424601600. Its totient is φ = 35168822000640.

The previous prime is 132032241304399. The next prime is 132032241304507. The reversal of 132032241304440 is 44403142230231.

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 31 ways as a sum of consecutive naturals, for example, 429259905 + ... + 429567375.

It is an arithmetic number, because the mean of its divisors is an integer number (3098003317200).

Almost surely, 2132032241304440 is an apocalyptic number.

132032241304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032241304440 is an abundant number, since it is smaller than the sum of its proper divisors (264512183297160).

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

132032241304440 is a wasteful number, since it uses less digits than its factorization.

132032241304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311517 (or 311513 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 132032241304440 its reverse (44403142230231), we get a palindrome (176435383534671).

The spelling of 132032241304440 in words is "one hundred thirty-two trillion, thirty-two billion, two hundred forty-one million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1319 2638 2713 3957 5276 5426 6595 7914 8139 10552 10852 13190 13565 15828 16278 19785 21704 26380 27130 31656 32556 39570 40695 52760 54260 65112 79140 81390 108520 158280 162780 307471 325560 614942 922413 1229884 1537355 1844826 2459768 3074710 3578447 3689652 4612065 6149420 7156894 7379304 9224130 10735341 12298840 14313788 17892235 18448260 21470682 28627576 35784470 36896520 42941364 53676705 71568940 85882728 107353410 143137880 214706820 405554249 429413640 811108498 834168823 1216662747 1622216996 1668337646 2027771245 2433325494 2502506469 3244433992 3336675292 4055542490 4170844115 4866650988 5005012938 6083313735 6673350584 8111084980 8341688230 9733301976 10010025876 12166627470 12512532345 16222169960 16683376460 20020051752 24333254940 25025064690 33366752920 48666509880 50050129380 100100258760 1100268677537 2200537355074 3300806032611 4401074710148 5501343387685 6601612065222 8802149420296 11002686775370 13203224130444 16504030163055 22005373550740 26406448260888 33008060326110 44010747101480 66016120652220 132032241304440