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133941444 = 223713173709
BaseRepresentation
bin1111111101111…
…00100011000100
3100100000221010020
413332330203010
5233242111234
621142455140
73214324560
oct776744304
9310027106
10133941444
116967420a
1238a344b0
13219987c0
1413b086a0
15bb5b549
hex7fbc8c4

133941444 has 96 divisors (see below), whose sum is σ = 387421440. Its totient is φ = 35071488.

The previous prime is 133941427. The next prime is 133941449. The reversal of 133941444 is 444149331.

It is not an unprimeable number, because it can be changed into a prime (133941449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188562 + ... + 189270.

It is an arithmetic number, because the mean of its divisors is an integer number (4035640).

Almost surely, 2133941444 is an apocalyptic number.

133941444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133941444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193710720).

133941444 is an abundant number, since it is smaller than the sum of its proper divisors (253479996).

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

133941444 is a wasteful number, since it uses less digits than its factorization.

133941444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 133941444 is about 11573.3073924440. The cubic root of 133941444 is about 511.6484453942.

The spelling of 133941444 in words is "one hundred thirty-three million, nine hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 173 182 273 346 364 519 546 692 709 1038 1092 1211 1418 2076 2127 2249 2422 2836 3633 4254 4498 4844 4963 6747 7266 8508 8996 9217 9926 13494 14532 14889 15743 18434 19852 26988 27651 29778 31486 36868 47229 55302 59556 62972 64519 94458 110604 122657 129038 188916 193557 245314 258076 367971 387114 490628 735942 774228 858599 1471884 1594541 1717198 2575797 3189082 3434396 4783623 5151594 6378164 9567246 10303188 11161787 19134492 22323574 33485361 44647148 66970722 133941444