Search a number
-
+
141435264 = 273439839
BaseRepresentation
bin10000110111000…
…10000110000000
3100212010122201010
420123202012000
5242201412024
622011240520
73335115465
oct1033420600
9325118633
10141435264
1172922453
123b449140
13233c0709
1414ad966c
15c63bb29
hex86e2180

141435264 has 64 divisors (see below), whose sum is σ = 376992000. Its totient is φ = 46981632.

The previous prime is 141435241. The next prime is 141435269. The reversal of 141435264 is 462534141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141435269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168157 + ... + 168995.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2141435264 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 141435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

141435264 is an abundant number, since it is smaller than the sum of its proper divisors (235556736).

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

141435264 is an equidigital number, since it uses as much as digits as its factorization.

141435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 141435264 is about 11892.6558850410. The cubic root of 141435264 is about 521.0178092775.

The spelling of 141435264 in words is "one hundred forty-one million, four hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 839 878 1317 1678 1756 2517 2634 3356 3512 5034 5268 6712 7024 10068 10536 13424 14048 20136 21072 26848 28096 40272 42144 53696 56192 80544 84288 107392 161088 168576 322176 368321 736642 1104963 1473284 2209926 2946568 4419852 5893136 8839704 11786272 17679408 23572544 35358816 47145088 70717632 141435264