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40952300325904 = 2411221153047689
BaseRepresentation
bin10010100111110111100110…
…10100000100110000010000
312101000000001012222221002101
421103323303110010300100
520331430302340412104
6223033121013130144
711424464115206362
oct1123736324046020
9171000035887071
1040952300325904
1112059855a00900
1247149b6629954
1319b0a29550b76
14a1815d906d32
154b03e3a265a4
hex253ef3504c10

40952300325904 has 30 divisors (see below), whose sum is σ = 87214015625870. Its totient is φ = 18614681965440.

The previous prime is 40952300325869. The next prime is 40952300325913.

40952300325904 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 38553518885904 + 2398781440000 = 6209148^2 + 1548800^2 .

It is a super-2 number, since 2×409523003259042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10576521909 + ... + 10576525780.

Almost surely, 240952300325904 is an apocalyptic number.

40952300325904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40952300325904 is an abundant number, since it is smaller than the sum of its proper divisors (46261715299966).

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

40952300325904 is a wasteful number, since it uses less digits than its factorization.

40952300325904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21153047719 (or 21153047702 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 40952300325904 in words is "forty trillion, nine hundred fifty-two billion, three hundred million, three hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 21153047689 42306095378 84612190756 169224381512 232683524579 338448763024 465367049158 930734098316 1861468196632 2559518770369 3722936393264 5119037540738 10238075081476 20476150162952 40952300325904