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141227568 = 243217311861
BaseRepresentation
bin10000110101011…
…11011000110000
3100211202002210200
420122233120300
5242123240233
622002555200
73333262116
oct1032573060
9324662720
10141227568
11727a03a9
123b368b00
132334a011
1414a83ab6
15c5ea313
hex86af630

141227568 has 120 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 42854400.

The previous prime is 141227561. The next prime is 141227587. The reversal of 141227568 is 865722141.

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 (141227561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74958 + ... + 76818.

Almost surely, 2141227568 is an apocalyptic number.

141227568 is a gapful number since it is divisible by the number (18) 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 141227568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

141227568 is an abundant number, since it is smaller than the sum of its proper divisors (290994768).

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

141227568 is a wasteful number, since it uses less digits than its factorization.

141227568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1914 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 141227568 is about 11883.9205652007. The cubic root of 141227568 is about 520.7626481880.

The spelling of 141227568 in words is "one hundred forty-one million, two hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 1861 2108 2232 2448 3162 3722 4216 4464 4743 5583 6324 7444 8432 9486 11166 12648 14888 16749 18972 22332 25296 29776 31637 33498 37944 44664 57691 63274 66996 75888 89328 94911 115382 126548 133992 173073 189822 230764 253096 267984 284733 346146 379644 461528 506192 519219 569466 692292 759288 923056 980747 1038438 1138932 1384584 1518576 1961494 2076876 2277864 2769168 2942241 3922988 4153752 4555728 5884482 7845976 8307504 8826723 11768964 15691952 17653446 23537928 35306892 47075856 70613784 141227568