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14340231312 = 24311593491319
BaseRepresentation
bin11010101101011111…
…01001000010010000
31101000101200020012020
431112233221002100
5213332044400222
610330544531440
71015235645361
oct152657510220
941011606166
1014340231312
116099761040
122942620b80
131476c54894
149a075db68
1558de3c65c
hex356be9090

14340231312 has 160 divisors (see below), whose sum is σ = 41247360000. Its totient is φ = 4256401920.

The previous prime is 14340231263. The next prime is 14340231313. The reversal of 14340231312 is 21313204341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14340231313) 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, 10871389 + ... + 10872707.

It is an arithmetic number, because the mean of its divisors is an integer number (257796000).

Almost surely, 214340231312 is an apocalyptic number.

14340231312 is a gapful number since it is divisible by the number (12) 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 14340231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680000).

14340231312 is an abundant number, since it is smaller than the sum of its proper divisors (26907128688).

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

14340231312 is a wasteful number, since it uses less digits than its factorization.

14340231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14340231312 its reverse (21313204341), we get a palindrome (35653435653).

The spelling of 14340231312 in words is "fourteen billion, three hundred forty million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 349 354 472 528 649 698 708 944 1047 1298 1319 1396 1416 1947 2094 2596 2638 2792 2832 3839 3894 3957 4188 5192 5276 5584 7678 7788 7914 8376 10384 10552 11517 14509 15356 15576 15828 16752 20591 21104 23034 29018 30712 31152 31656 41182 43527 46068 58036 61424 61773 63312 77821 82364 87054 92136 116072 123546 155642 164728 174108 184272 226501 232144 233463 247092 311284 329456 348216 453002 460331 466926 494184 622568 679503 696432 856031 906004 920662 933852 988368 1245136 1359006 1380993 1712062 1812008 1841324 1867704 2568093 2718012 2761986 3424124 3624016 3682648 3735408 5063641 5136186 5436024 5523972 6848248 7365296 10127282 10272372 10872048 11047944 13696496 15190923 20254564 20544744 22095888 27159529 30381846 40509128 41089488 54319058 60763692 81018256 81478587 108638116 121527384 162957174 217276232 243054768 298754819 325914348 434552464 597509638 651828696 896264457 1195019276 1303657392 1792528914 2390038552 3585057828 4780077104 7170115656 14340231312