Search a number
-
+
4013431160 = 235434923071
BaseRepresentation
bin1110111100111000…
…0001100101111000
3101100200222102112112
43233032001211320
531204414244120
61502125431452
7201312413324
oct35716014570
911320872475
104013431160
11177a528262
1294010b588
134bc644c4b
142a104c984
15187529bc5
hexef381978

4013431160 has 32 divisors (see below), whose sum is σ = 9032688000. Its totient is φ = 1604933760.

The previous prime is 4013431141. The next prime is 4013431217. The reversal of 4013431160 is 611343104.

It is a super-2 number, since 2×40134311602 = 32215259352117891200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162425 + ... + 185495.

It is an arithmetic number, because the mean of its divisors is an integer number (282271500).

Almost surely, 24013431160 is an apocalyptic number.

4013431160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013431160 is an abundant number, since it is smaller than the sum of its proper divisors (5019256840).

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

4013431160 is a wasteful number, since it uses less digits than its factorization.

4013431160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27431 (or 27427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4013431160 is about 63351.6468609933. The cubic root of 4013431160 is about 1589.1757868450.

Adding to 4013431160 its reverse (611343104), we get a palindrome (4624774264).

The spelling of 4013431160 in words is "four billion, thirteen million, four hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 4349 8698 17396 21745 23071 34792 43490 46142 86980 92284 115355 173960 184568 230710 461420 922840 100335779 200671558 401343116 501678895 802686232 1003357790 2006715580 4013431160