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2314012512 = 253717331987
BaseRepresentation
bin1000100111101101…
…0000011101100000
312222021020000102010
42021323100131200
514214341400022
61021341152520
7111225532110
oct21173203540
95867200363
102314012512
11a88221939
12546b5b740
132ab540196
1417d479040
15d823d50c
hex89ed0760

2314012512 has 96 divisors (see below), whose sum is σ = 6949539072. Its totient is φ = 660432384.

The previous prime is 2314012499. The next prime is 2314012529. The reversal of 2314012512 is 2152104132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163583 + ... + 1165569.

It is an arithmetic number, because the mean of its divisors is an integer number (72391032).

Almost surely, 22314012512 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 2314012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474769536).

2314012512 is an abundant number, since it is smaller than the sum of its proper divisors (4635526560).

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

2314012512 is a wasteful number, since it uses less digits than its factorization.

2314012512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2314012512 is about 48104.1839344563. The cubic root of 2314012512 is about 1322.6813631536.

Adding to 2314012512 its reverse (2152104132), we get a palindrome (4466116644).

The spelling of 2314012512 in words is "two billion, three hundred fourteen million, twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1733 1987 3466 3974 5199 5961 6932 7948 10398 11922 12131 13864 13909 15896 20796 23844 24262 27728 27818 31792 36393 41592 41727 47688 48524 55456 55636 63584 72786 83184 83454 95376 97048 111272 145572 166368 166908 190752 194096 222544 291144 333816 388192 445088 582288 667632 1164576 1335264 3443471 6886942 10330413 13773884 20660826 24104297 27547768 41321652 48208594 55095536 72312891 82643304 96417188 110191072 144625782 165286608 192834376 289251564 330573216 385668752 578503128 771337504 1157006256 2314012512