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34402254140655 = 3356110340558891
BaseRepresentation
bin1111101001001111001100…
…01000110011010011101111
311111210211020020112001002000
413310213212020303103233
514002121304030000110
6201100102151303343
710150323633234102
oct764474610632357
9144724206461060
1034402254140655
11aa63a06663285
123a3747937ab53
13162717088264b
1486d113dc0739
153e9d354e11c0
hex1f49e62334ef

34402254140655 has 64 divisors (see below), whose sum is σ = 62765696547840. Its totient is φ = 17871869289600.

The previous prime is 34402254140627. The next prime is 34402254140659. The reversal of 34402254140655 is 55604145220443.

It is a happy number.

34402254140655 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 2 + 2 + 541 + 40 + 65 + 5 = 666.

It is not a de Polignac number, because 34402254140655 - 217 = 34402254009583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34402254140655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402254140659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19431241 + ... + 21127650.

It is an arithmetic number, because the mean of its divisors is an integer number (980714008560).

Almost surely, 234402254140655 is an apocalyptic number.

34402254140655 is a deficient number, since it is larger than the sum of its proper divisors (28363442407185).

34402254140655 is a wasteful number, since it uses less digits than its factorization.

34402254140655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40559069 (or 40559063 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 34402254140655 in words is "thirty-four trillion, four hundred two billion, two hundred fifty-four million, one hundred forty thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 61 103 135 183 305 309 515 549 915 927 1545 1647 2745 2781 4635 6283 8235 13905 18849 31415 56547 94245 169641 282735 848205 40558891 121676673 202794455 365030019 608383365 1095090057 1825150095 2474092351 4177565773 5475450285 7422277053 12370461755 12532697319 20887828865 22266831159 37111385265 37598091957 62663486595 66800493477 111334155795 112794275871 187990459785 254831512153 334002467385 563971379355 764494536459 1274157560765 2293483609377 3822472682295 6880450828131 11467418046885 34402254140655