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137658990440 = 2353441474761
BaseRepresentation
bin1000000000110100011…
…1010111111101101000
3111011022200200021100102
42000031013113331220
54223411200143230
6143123433524532
712642214053356
oct2001507277550
9434280607312
10137658990440
1153420a02aa4
1222819873748
13cc9a88b93a
14693c7667d6
1538aa44e045
hex200d1d7f68

137658990440 has 16 divisors (see below), whose sum is σ = 309732728580. Its totient is φ = 55063596160.

The previous prime is 137658990409. The next prime is 137658990449. The reversal of 137658990440 is 44099856731.

It can be written as a sum of positive squares in 2 ways, for example, as 134529035524 + 3129954916 = 366782^2 + 55946^2 .

It is a super-2 number, since 2×1376589904402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137658990449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1720737341 + ... + 1720737420.

Almost surely, 2137658990440 is an apocalyptic number.

137658990440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137658990440 is an abundant number, since it is smaller than the sum of its proper divisors (172073738140).

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

137658990440 is a wasteful number, since it uses less digits than its factorization.

137658990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441474772 (or 3441474768 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 137658990440 in words is "one hundred thirty-seven billion, six hundred fifty-eight million, nine hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3441474761 6882949522 13765899044 17207373805 27531798088 34414747610 68829495220 137658990440