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132123421030144 = 282370132010613
BaseRepresentation
bin11110000010101001100001…
…100100111011011100000000
3122022210212122101022002100111
4132002221201210323130000
5114304202231240431034
61145000354532001104
736554413353515665
oct3602514144733400
9568725571262314
10132123421030144
113910a2567a2775
121299a4a2460194
1358952539b09bb
14248ab44477a6c
151041c77a3a364
hex782a6193b700

132123421030144 has 72 divisors (see below), whose sum is σ = 275589875407392. Its totient is φ = 63099318374400.

The previous prime is 132123421030127. The next prime is 132123421030163. The reversal of 132123421030144 is 441030124321231.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11877819 + ... + 20132794.

It is an arithmetic number, because the mean of its divisors is an integer number (3827637158436).

Almost surely, 2132123421030144 is an apocalyptic number.

It is an amenable number.

132123421030144 is an abundant number, since it is smaller than the sum of its proper divisors (143466454377248).

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

132123421030144 is an equidigital number, since it uses as much as digits as its factorization.

132123421030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32011353 (or 32011339 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 132123421030144 its reverse (441030124321231), we get a palindrome (573153545351375).

The spelling of 132123421030144 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, four hundred twenty-one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 701 736 1402 1472 2804 2944 5608 5888 11216 16123 22432 32246 44864 64492 89728 128984 179456 257968 515936 1031872 2063744 4127488 32010613 64021226 128042452 256084904 512169808 736244099 1024339616 1472488198 2048679232 2944976396 4097358464 5889952792 8194716928 11779905584 22439439713 23559811168 44878879426 47119622336 89757758852 94239244672 179515517704 188478489344 359031035408 516107113399 718062070816 1032214226798 1436124141632 2064428453596 2872248283264 4128856907192 5744496566528 8257713814384 16515427628768 33030855257536 66061710515072 132123421030144