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34342155641016 = 233452997153767
BaseRepresentation
bin1111100111011111001111…
…11111001110000010111000
311111121002002212120221020000
413303233213333032002320
514000130213321003031
6201012322444033000
710143065426353326
oct763574777160270
9144532085527200
1034342155641016
11aa40476619a63
123a278a6532760
1316215b38b8862
1486a25240ad16
153e84b92d33e6
hex1f3be7fce0b8

34342155641016 has 40 divisors (see below), whose sum is σ = 96189834088920. Its totient is φ = 11447385213456.

The previous prime is 34342155641011. The next prime is 34342155641023. The reversal of 34342155641016 is 61014655124343.

34342155641016 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 215 + 5 + 6 + 410 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342155641011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26498576236 + ... + 26498577531.

It is an arithmetic number, because the mean of its divisors is an integer number (2404745852223).

Almost surely, 234342155641016 is an apocalyptic number.

34342155641016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34342155641016 is an abundant number, since it is smaller than the sum of its proper divisors (61847678447904).

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

34342155641016 is a wasteful number, since it uses less digits than its factorization.

34342155641016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52997153785 (or 52997153772 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 34342155641016 in words is "thirty-four trillion, three hundred forty-two billion, one hundred fifty-five million, six hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 52997153767 105994307534 158991461301 211988615068 317982922602 423977230136 476974383903 635965845204 953948767806 1271931690408 1430923151709 1907897535612 2861846303418 3815795071224 4292769455127 5723692606836 8585538910254 11447385213672 17171077820508 34342155641016