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1414206734136 = 233776847109541
BaseRepresentation
bin10100100101000101010…
…010100011111100111000
312000012022111110122222020
4110211011102203330320
5141132243410443021
63001402210154440
7204113234621010
oct24450522437470
95005274418866
101414206734136
114a5841918989
121aa0bab82a20
13a3488cba231
144c63b338c40
1526bc04cc7c6
hex149454a3f38

1414206734136 has 64 divisors (see below), whose sum is σ = 4040680135680. Its totient is φ = 404050120320.

The previous prime is 1414206734119. The next prime is 1414206734177. The reversal of 1414206734136 is 6314376024141.

It is a super-2 number, since 2×14142067341362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12855526 + ... + 12965066.

It is an arithmetic number, because the mean of its divisors is an integer number (63135627120).

Almost surely, 21414206734136 is an apocalyptic number.

It is an amenable number.

1414206734136 is an abundant number, since it is smaller than the sum of its proper divisors (2626473401544).

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

1414206734136 is a wasteful number, since it uses less digits than its factorization.

1414206734136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186404 (or 186400 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1414206734136 in words is "one trillion, four hundred fourteen billion, two hundred six million, seven hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 76847 109541 153694 219082 230541 307388 328623 438164 461082 537929 614776 657246 766787 876328 922164 1075858 1314492 1533574 1613787 1844328 2151716 2300361 2628984 3067148 3227574 4303432 4600722 6134296 6455148 9201444 12910296 18402888 8417897227 16835794454 25253691681 33671588908 50507383362 58925280589 67343177816 101014766724 117850561178 176775841767 202029533448 235701122356 353551683534 471402244712 707103367068 1414206734136