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14793697040 = 245193958141
BaseRepresentation
bin11011100011100010…
…11110011100010000
31102011222221200020012
431301301132130100
5220244141301130
610443544134052
71032413231033
oct156161363420
942158850205
1014793697040
116301724601
122a4a467328
131519b95bb5
14a04a8101a
155b8b62995
hex371c5e710

14793697040 has 40 divisors (see below), whose sum is σ = 34573595928. Its totient is φ = 5886812160.

The previous prime is 14793697033. The next prime is 14793697063. The reversal of 14793697040 is 4079639741.

It is a happy number.

14793697040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 207821056 + 14585875984 = 14416^2 + 120772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×147936970402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14793697040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463631 + ... + 494510.

Almost surely, 214793697040 is an apocalyptic number.

14793697040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14793697040 is an abundant number, since it is smaller than the sum of its proper divisors (19779898888).

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

14793697040 is a wasteful number, since it uses less digits than its factorization.

14793697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958347 (or 958341 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 14793697040 in words is "fourteen billion, seven hundred ninety-three million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 958141 1916282 3832564 4790705 7665128 9581410 15330256 19162820 38325640 76651280 184921213 369842426 739684852 924606065 1479369704 1849212130 2958739408 3698424260 7396848520 14793697040