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139923135445921 = 53283226892
BaseRepresentation
bin11111110100001001100100…
…110010001011101110100001
3200100102112001220000121210221
4133310021210302023232201
5121320000040133232141
61213331445004523041
741321053510252162
oct3764114462135641
9610375056017727
10139923135445921
1140647083197093
121383a05ab50481
13600c906064639
14267a45cb35769
151129ac6418bd1
hex7f4264c8bba1

139923135445921 has 27 divisors (see below), whose sum is σ = 144405639947289. Its totient is φ = 135578624842752.

The previous prime is 139923135445859. The next prime is 139923135445967. The reversal of 139923135445921 is 129544531329931.

The square root of 139923135445921 is 11828911.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17865626900625 + 122057508545296 = 4226775^2 + 11047964^2 .

It is not a de Polignac number, because 139923135445921 - 215 = 139923135413153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 139923135445921.

It is not an unprimeable number, because it can be changed into a prime (139923115445921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52035378145 + ... + 52035380833.

Almost surely, 2139923135445921 is an apocalyptic number.

139923135445921 is the 11828911-st square number.

139923135445921 is the 5914456-th centered octagonal number.

It is an amenable number.

139923135445921 is a deficient number, since it is larger than the sum of its proper divisors (4482504501368).

139923135445921 is an frugal number, since it uses more digits than its factorization.

139923135445921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 2825 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 61.

The spelling of 139923135445921 in words is "one hundred thirty-nine trillion, nine hundred twenty-three billion, one hundred thirty-five million, four hundred forty-five thousand, nine hundred twenty-one".

Divisors: 1 53 83 2689 2809 4399 6889 142517 223187 233147 365117 7230721 7553401 11828911 18524521 19351201 383228213 600149843 626932283 981799613 20311095289 31807941679 49812436969 52035379489 1685820908987 2640059159357 139923135445921