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134268834016 = 2523672722843
BaseRepresentation
bin111110100001100001…
…0111101000011100000
3110211120102111111000101
41331003002331003200
54144440310142031
6141403211032144
712462210154402
oct1750302750340
9424512444011
10134268834016
1151a41290329
122203243b654
13c87a401415
1466da3dcb72
15375c9dd361
hex1f430bd0e0

134268834016 has 48 divisors (see below), whose sum is σ = 279951928704. Its totient is φ = 63257065344.

The previous prime is 134268834001. The next prime is 134268834017. The reversal of 134268834016 is 610438862431.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134268834017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312110 + ... + 1410733.

It is an arithmetic number, because the mean of its divisors is an integer number (5832331848).

Almost surely, 2134268834016 is an apocalyptic number.

134268834016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134268834016 is an abundant number, since it is smaller than the sum of its proper divisors (145683094688).

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

134268834016 is a wasteful number, since it uses less digits than its factorization.

134268834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722943 (or 2722935 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 134268834016 in words is "one hundred thirty-four billion, two hundred sixty-eight million, eight hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1072 1541 2144 3082 6164 12328 24656 49312 2722843 5445686 10891372 21782744 43565488 62625389 87130976 125250778 182430481 250501556 364860962 501003112 729721924 1002006224 1459443848 2004012448 2918887696 4195901063 5837775392 8391802126 16783604252 33567208504 67134417008 134268834016