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345401136861 = 31117683901447
BaseRepresentation
bin1010000011010111000…
…00110001011011011101
31020000112121011202010120
411001223200301123131
521124340142334421
6422401453025153
733645235136004
oct5015340613335
91200477152116
10345401136861
11123535a34410
1256b361851b9
1326756b8b931
1412a08b8dc3b
158eb84378c6
hex506b8316dd

345401136861 has 32 divisors (see below), whose sum is σ = 532734133248. Its totient is φ = 196731575040.

The previous prime is 345401136791. The next prime is 345401136881. The reversal of 345401136861 is 168631104543.

It is not a de Polignac number, because 345401136861 - 210 = 345401135837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345401136881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67561 + ... + 833886.

It is an arithmetic number, because the mean of its divisors is an integer number (16647941664).

Almost surely, 2345401136861 is an apocalyptic number.

It is an amenable number.

345401136861 is a deficient number, since it is larger than the sum of its proper divisors (187332996387).

345401136861 is a wasteful number, since it uses less digits than its factorization.

345401136861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902161.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 345401136861 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-six thousand, eight hundred sixty-one".

Divisors: 1 3 11 17 33 51 187 561 683 2049 7513 11611 22539 34833 127721 383163 901447 2704341 9915917 15324599 29747751 45973797 168570589 505711767 615688301 1847064903 6772571311 10466701117 20317713933 31400103351 115133712287 345401136861