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141913356 = 2231321929127
BaseRepresentation
bin10000111010101…
…10110100001100
3100220000221112020
420131112310030
5242312211411
622025410140
73342146364
oct1035266414
9326027466
10141913356
1173119672
123b639950
132352a200
1414bc19a4
15c6d3606
hex8756d0c

141913356 has 144 divisors (see below), whose sum is σ = 393523200. Its totient is φ = 39626496.

The previous prime is 141913339. The next prime is 141913367. The reversal of 141913356 is 653319141.

It is a super-2 number, since 2×1419133562 = 40278801222365472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117365 + ... + 1117491.

It is an arithmetic number, because the mean of its divisors is an integer number (2732800).

Almost surely, 2141913356 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 141913356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196761600).

141913356 is an abundant number, since it is smaller than the sum of its proper divisors (251609844).

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

141913356 is a wasteful number, since it uses less digits than its factorization.

141913356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 141913356 is about 11912.7392315957. The cubic root of 141913356 is about 521.6042125430.

The spelling of 141913356 in words is "one hundred forty-one million, nine hundred thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 127 156 169 174 228 247 254 338 348 377 381 494 507 508 551 676 741 754 762 988 1014 1102 1131 1482 1508 1524 1651 1653 2028 2204 2262 2413 2964 3211 3302 3306 3683 4524 4826 4901 4953 6422 6604 6612 7163 7239 7366 9633 9652 9802 9906 11049 12844 14326 14478 14703 14732 19266 19604 19812 21463 21489 22098 28652 28956 29406 31369 38532 42926 42978 44196 47879 58812 62738 64389 69977 85852 85956 93119 94107 95758 125476 128778 139954 143637 186238 188214 191516 209931 257556 279357 279908 287274 372476 376428 407797 419862 558714 574548 622427 815594 839724 909701 1117428 1223391 1244854 1631188 1819402 1867281 2446782 2489708 2729103 3638804 3734562 4893564 5458206 7469124 10916412 11826113 23652226 35478339 47304452 70956678 141913356