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141459472 = 24721147349
BaseRepresentation
bin10000110111010…
…00000000010000
3100212011212220201
420123220000100
5242203200342
622011544544
73335246200
oct1033500020
9325155821
10141459472
1172939660
123b45b154
13233cb73b
1414b04400
15c643db7
hex86e8010

141459472 has 120 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 53786880.

The previous prime is 141459469. The next prime is 141459497. The reversal of 141459472 is 274954141.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405154 + ... + 405502.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2141459472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

141459472 is an abundant number, since it is smaller than the sum of its proper divisors (214767728).

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

141459472 is a wasteful number, since it uses less digits than its factorization.

141459472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 141459472 is about 11893.6736124715. The cubic root of 141459472 is about 521.0475333110.

It can be divided in two parts, 14 and 1459472, that added together give a triangular number (1459486 = T1708).

The spelling of 141459472 in words is "one hundred forty-one million, four hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 49 56 77 88 94 98 112 154 176 188 196 308 329 349 376 392 517 539 616 658 698 752 784 1034 1078 1232 1316 1396 2068 2156 2303 2443 2632 2792 3619 3839 4136 4312 4606 4886 5264 5584 7238 7678 8272 8624 9212 9772 14476 15356 16403 17101 18424 19544 25333 26873 28952 30712 32806 34202 36848 39088 50666 53746 57904 61424 65612 68404 101332 107492 114821 131224 136808 180433 188111 202664 214984 229642 262448 273616 360866 376222 405328 429968 459284 721732 752444 803747 918568 1263031 1443464 1504888 1607494 1837136 2526062 2886928 3009776 3214988 5052124 6429976 8841217 10104248 12859952 17682434 20208496 35364868 70729736 141459472