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140574481800921 = 34721881972
BaseRepresentation
bin11111111101101000001100…
…000011010101111011011001
3200102201210022100002202210000
4133331220030003111323121
5121411133014320112141
61214551005253443213
741416112464030200
oct3775501403257331
9612653270082700
10140574481800921
1140878337231113
1213924339640509
136059169679b0c
14269dbac456237
15113b9e8e265b6
hex7fda0c0d5ed9

140574481800921 has 45 divisors (see below), whose sum is σ = 244280008251279. Its totient is φ = 80327848484016.

The previous prime is 140574481800887. The next prime is 140574481801009. The reversal of 140574481800921 is 129008184475041.

It is a happy number.

The square root of 140574481800921 is 11856411.

It is a perfect power (a square), and thus also a powerful number.

140574481800921 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 74 + 481 + 8 + 0 + 0 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 932141975625 + 139642339825296 = 965475^2 + 11817036^2 .

It is not a de Polignac number, because 140574481800921 - 213 = 140574481792729 is a prime.

It is a super-3 number, since 3×1405744818009213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140574481801921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 746859795 + ... + 747047991.

Almost surely, 2140574481800921 is an apocalyptic number.

140574481800921 is the 11856411-st square number.

140574481800921 is the 5928206-th centered octagonal number.

It is an amenable number.

140574481800921 is a deficient number, since it is larger than the sum of its proper divisors (103705526450358).

140574481800921 is an frugal number, since it uses more digits than its factorization.

140574481800921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376420 (or 188207 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 140574481800921 in words is "one hundred forty trillion, five hundred seventy-four billion, four hundred eighty-one million, eight hundred thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 188197 564591 1317379 1693773 3952137 5081319 9221653 11856411 15243957 27664959 35569233 82994877 106707699 248984631 746953893 35418110809 106254332427 247926775663 318762997281 743780326989 956288991843 1735487429641 2231340980967 2868866975529 5206462288923 6694022942901 15619386866769 20082068828703 46858160600307 140574481800921