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14012351232 = 2831113712107
BaseRepresentation
bin11010000110011001…
…11000001100000000
31100011112201012021120
431003030320030000
5212144130214412
610234233152240
71004145006645
oct150314701400
940145635246
1014012351232
115a40674970
12287085b680
1314240449b9
1496cdaddcc
15570272b8c
hex343338300

14012351232 has 144 divisors (see below), whose sum is σ = 40983933312. Its totient is φ = 4214824960.

The previous prime is 14012351209. The next prime is 14012351263. The reversal of 14012351232 is 23215321041.

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

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, 1151323 + ... + 1163429.

It is an arithmetic number, because the mean of its divisors is an integer number (284610648).

Almost surely, 214012351232 is an apocalyptic number.

14012351232 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 14012351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491966656).

14012351232 is an abundant number, since it is smaller than the sum of its proper divisors (26971582080).

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

14012351232 is a wasteful number, since it uses less digits than its factorization.

14012351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14012351232 its reverse (23215321041), we get a palindrome (37227672273).

The spelling of 14012351232 in words is "fourteen billion, twelve million, three hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 137 176 192 256 264 274 352 384 411 528 548 704 768 822 1056 1096 1408 1507 1644 2112 2192 2816 3014 3288 4224 4384 4521 6028 6576 8448 8768 9042 12056 12107 13152 17536 18084 24112 24214 26304 35072 36168 36321 48224 48428 52608 72336 72642 96448 96856 105216 133177 144672 145284 192896 193712 266354 289344 290568 385792 387424 399531 532708 578688 581136 774848 799062 1065416 1157376 1162272 1549696 1598124 1658659 2130832 2324544 3099392 3196248 3317318 4261664 4649088 4975977 6392496 6634636 8523328 9298176 9951954 12784992 13269272 17046656 18245249 19903908 25569984 26538544 34093312 36490498 39807816 51139968 53077088 54735747 72980996 79615632 102279936 106154176 109471494 145961992 159231264 212308352 218942988 291923984 318462528 424616704 437885976 583847968 636925056 875771952 1167695936 1273850112 1751543904 2335391872 3503087808 4670783744 7006175616 14012351232