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141375564 = 223311592017
BaseRepresentation
bin10000110110100…
…11100001001100
3100212000121211000
420123103201030
5242143004224
622010100300
73334446441
oct1033234114
9325017730
10141375564
1172891610
123b41a690
132339c4a5
1414ac19c8
15c6290c9
hex86d384c

141375564 has 96 divisors (see below), whose sum is σ = 406828800. Its totient is φ = 42094080.

The previous prime is 141375547. The next prime is 141375571. The reversal of 141375564 is 465573141.

141375564 is a `hidden beast` number, since 14 + 13 + 75 + 564 = 666.

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

Its product of digits (50400) is a multiple of the sum of its prime factors (2100).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69084 + ... + 71100.

It is an arithmetic number, because the mean of its divisors is an integer number (4237800).

Almost surely, 2141375564 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 141375564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203414400).

141375564 is an abundant number, since it is smaller than the sum of its proper divisors (265453236).

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

141375564 is a wasteful number, since it uses less digits than its factorization.

141375564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 141375564 is about 11890.1456677368. The cubic root of 141375564 is about 520.9444915399.

It can be divided in two parts, 14137 and 5564, that added together give a triangular number (19701 = T198).

The spelling of 141375564 in words is "one hundred forty-one million, three hundred seventy-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 177 198 236 297 354 396 531 594 649 708 1062 1188 1298 1593 1947 2017 2124 2596 3186 3894 4034 5841 6051 6372 7788 8068 11682 12102 17523 18153 22187 23364 24204 35046 36306 44374 54459 66561 70092 72612 88748 108918 119003 133122 199683 217836 238006 266244 357009 399366 476012 599049 714018 798732 1071027 1198098 1309033 1428036 2142054 2396196 2618066 3213081 3927099 4284108 5236132 6426162 7854198 11781297 12852324 15708396 23562594 35343891 47125188 70687782 141375564