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2014613424 = 2433172311927
BaseRepresentation
bin111100000010100…
…1000111110110000
312012101211222002000
41320011020332300
513111220112144
6531524054000
7100631634345
oct17005107660
95171758060
102014613424
1194421897a
12482834300
132614c2a65
141517c07cc
15bbcec769
hex78148fb0

2014613424 has 160 divisors (see below), whose sum is σ = 6389591040. Its totient is φ = 604505088.

The previous prime is 2014613371. The next prime is 2014613449. The reversal of 2014613424 is 4243164102.

It is a happy number.

2014613424 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 613 + 42 + 4 = 666.

It is a super-2 number, since 2×20146134242 = 8117334496322007552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162949 + ... + 174875.

It is an arithmetic number, because the mean of its divisors is an integer number (39934944).

Almost surely, 22014613424 is an apocalyptic number.

2014613424 is a gapful number since it is divisible by the number (24) 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 2014613424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194795520).

2014613424 is an abundant number, since it is smaller than the sum of its proper divisors (4374977616).

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

2014613424 is a wasteful number, since it uses less digits than its factorization.

2014613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2014613424 is about 44884.4452344016. The cubic root of 2014613424 is about 1262.9822329805.

Adding to 2014613424 its reverse (4243164102), we get a palindrome (6257777526).

The spelling of 2014613424 in words is "two billion, fourteen million, six hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 816 828 918 1104 1173 1224 1242 1564 1656 1836 2346 2448 2484 3128 3312 3519 3672 4692 4968 6256 7038 7344 9384 9936 10557 11927 14076 18768 21114 23854 28152 35781 42228 47708 56304 71562 84456 95416 107343 143124 168912 190832 202759 214686 274321 286248 322029 405518 429372 548642 572496 608277 644058 811036 822963 858744 1097284 1216554 1288116 1622072 1645926 1717488 1824831 2194568 2433108 2468889 2576232 3244144 3291852 3649662 4389136 4663457 4866216 4937778 5152464 5474493 6583704 7299324 7406667 9326914 9732432 9875556 10948986 13167408 13990371 14598648 14813334 18653828 19751112 21897972 27980742 29197296 29626668 37307656 39502224 41971113 43795944 55961484 59253336 74615312 83942226 87591888 111922968 118506672 125913339 167884452 223845936 251826678 335768904 503653356 671537808 1007306712 2014613424