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354137424731453 = 11231731379440203
BaseRepresentation
bin101000010000101100000101…
…1011001110001110100111101
31201102220012121000200020100202
41100201120023121301310331
5332404141421212401303
63253104253104333245
7134410404343156136
oct12041301331616475
91642805530606322
10354137424731453
11a2925924a0aa00
1233876257014225
131227b028ac145c
1463644b2966c8d
152ae1dd9052c88
hex142160b671d3d

354137424731453 has 48 divisors (see below), whose sum is σ = 410292713983488. Its totient is φ = 305046911347200.

The previous prime is 354137424731437. The next prime is 354137424731471.

354137424731453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354137424731453 - 24 = 354137424731437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354137424731413) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32793650 + ... + 42233852.

It is an arithmetic number, because the mean of its divisors is an integer number (8547764874656).

Almost surely, 2354137424731453 is an apocalyptic number.

It is an amenable number.

354137424731453 is a deficient number, since it is larger than the sum of its proper divisors (56155289252035).

354137424731453 is a wasteful number, since it uses less digits than its factorization.

354137424731453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440466 (or 9440455 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 56.

The spelling of 354137424731453 in words is "three hundred fifty-four trillion, one hundred thirty-seven billion, four hundred twenty-four million, seven hundred thirty-one thousand, four hundred fifty-three".

Divisors: 1 11 31 73 121 137 341 803 1507 2263 3751 4247 8833 10001 16577 24893 46717 110011 273823 310031 513887 1210121 3410341 9440203 37513751 103842233 292646293 689134819 1142264563 1293307811 3219109223 7580483009 14226385921 21363179389 35410201453 40092542141 83385313099 94411470203 156490245131 234994973279 441017963551 1038526172233 2584944706069 2926755576293 4851197599061 11423787894563 32194311339223 354137424731453