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134005605144 = 23329375203697
BaseRepresentation
bin111110011001101011…
…0110100001100011000
3110210220002012001212220
41330303112310030120
54143420413331034
6141321125104040
712452532564315
oct1746326641430
9423802161786
10134005605144
1151916741604
1221b7a258020
13c837a095a8
1466b347bd0c
153744844749
hex1f335b4318

134005605144 has 64 divisors (see below), whose sum is σ = 355932943200. Its totient is φ = 41962604544.

The previous prime is 134005605127. The next prime is 134005605163. The reversal of 134005605144 is 441506500431.

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, 2576097 + ... + 2627600.

Almost surely, 2134005605144 is an apocalyptic number.

It is an amenable number.

134005605144 is an abundant number, since it is smaller than the sum of its proper divisors (221927338056).

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

134005605144 is a wasteful number, since it uses less digits than its factorization.

134005605144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203772 (or 5203768 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 134005605144 in words is "one hundred thirty-four billion, five million, six hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 2146 3219 4292 6438 8584 12876 25752 5203697 10407394 15611091 20814788 31222182 41629576 62444364 124888728 150907213 192536789 301814426 385073578 452721639 577610367 603628852 770147156 905443278 1155220734 1207257704 1540294312 1810886556 2310441468 3621773112 4620882936 5583566881 11167133762 16750700643 22334267524 33501401286 44668535048 67002802572 134005605144