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141137964 = 2234111992
BaseRepresentation
bin10000110100110…
…01100000101100
3100211120112220000
420122121200230
5242112403324
622001024300
73332436642
oct1032314054
9324515800
10141137964
117273a050
123b325090
13233182b6
1414a5d192
15c5cd9c9
hex869982c

141137964 has 90 divisors (see below), whose sum is σ = 404537364. Its totient is φ = 42554160.

The previous prime is 141137963. The next prime is 141137987. The reversal of 141137964 is 469731141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141137963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 709137 + ... + 709335.

Almost surely, 2141137964 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 141137964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202268682).

141137964 is an abundant number, since it is smaller than the sum of its proper divisors (263399400).

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

141137964 is a wasteful number, since it uses less digits than its factorization.

141137964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 215 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 141137964 is about 11880.1499990530. The cubic root of 141137964 is about 520.6524896001.

The spelling of 141137964 in words is "one hundred forty-one million, one hundred thirty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 199 297 324 396 398 594 597 796 891 1188 1194 1782 1791 2189 2388 3564 3582 4378 5373 6567 7164 8756 10746 13134 16119 19701 21492 26268 32238 39402 39601 59103 64476 78804 79202 118206 118803 158404 177309 236412 237606 354618 356409 435611 475212 709236 712818 871222 1069227 1306833 1425636 1742444 2138454 2613666 3207681 3920499 4276908 5227332 6415362 7840998 11761497 12830724 15681996 23522994 35284491 47045988 70568982 141137964