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2140305618 = 2311232948619
BaseRepresentation
bin111111110010010…
…0111100011010010
312112011100210100110
41333210213203102
513340404234433
6552214102150
7104016204033
oct17744474322
95464323313
102140305618
119a9168320
124b894a956
13281560839
1416437ca8a
15c7d79963
hex7f9278d2

2140305618 has 64 divisors (see below), whose sum is σ = 5040921600. Its totient is φ = 598973760.

The previous prime is 2140305617. The next prime is 2140305623. The reversal of 2140305618 is 8165030412.

It is not an unprimeable number, because it can be changed into a prime (2140305617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19713 + ... + 68331.

It is an arithmetic number, because the mean of its divisors is an integer number (78764400).

Almost surely, 22140305618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140305618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520460800).

2140305618 is an abundant number, since it is smaller than the sum of its proper divisors (2900615982).

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

2140305618 is a wasteful number, since it uses less digits than its factorization.

2140305618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48687.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2140305618 is about 46263.4371615426. The cubic root of 2140305618 is about 1288.7200849971.

The spelling of 2140305618 in words is "two billion, one hundred forty million, three hundred five thousand, six hundred eighteen".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 506 638 667 759 957 1334 1518 1914 2001 4002 7337 14674 22011 44022 48619 97238 145857 291714 534809 1069618 1118237 1409951 1604427 2236474 2819902 3208854 3354711 4229853 6709422 8459706 12300607 15509461 24601214 31018922 32428873 36901821 46528383 64857746 73803642 93056766 97286619 194573238 356717603 713435206 1070152809 2140305618