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137302201462340 = 22517403830004301
BaseRepresentation
bin11111001110000000101000…
…111100011110111001000100
3200000010221222111100011111102
4133032000220330132321010
5120444024402033243330
61204003432141355232
740630520356054025
oct3716005074367104
9600127874304442
10137302201462340
113a82659a2a0032
1213496105568b18
135b7c707b33545
1425c9667a74c4c
1510d182a861945
hex7ce028f1ee44

137302201462340 has 24 divisors (see below), whose sum is σ = 305295483252312. Its totient is φ = 51690240550400.

The previous prime is 137302201462331. The next prime is 137302201462373. The reversal of 137302201462340 is 43264102203731.

It can be written as a sum of positive squares in 4 ways, for example, as 74777630528836 + 62524570933504 = 8647406^2 + 7907248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137302201462294 and 137302201462303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201915001811 + ... + 201915002490.

It is an arithmetic number, because the mean of its divisors is an integer number (12720645135513).

Almost surely, 2137302201462340 is an apocalyptic number.

137302201462340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137302201462340 is an abundant number, since it is smaller than the sum of its proper divisors (167993281789972).

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

137302201462340 is a wasteful number, since it uses less digits than its factorization.

137302201462340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403830004327 (or 403830004325 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 137302201462340 in words is "one hundred thirty-seven trillion, three hundred two billion, two hundred one million, four hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 403830004301 807660008602 1615320017204 2019150021505 4038300043010 6865110073117 8076600086020 13730220146234 27460440292468 34325550365585 68651100731170 137302201462340