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14400431232 = 2731110931277
BaseRepresentation
bin11010110100101010…
…10010010010000000
31101011120221200221220
431122111102102000
5213443002244412
610340535115040
71016566434345
oct153225222200
941146850856
1014400431232
11611a739140
12295a812a80
131486571835
149a87507cc
1559437e68c
hex35a552480

14400431232 has 128 divisors (see below), whose sum is σ = 42112699200. Its totient is φ = 4323594240.

The previous prime is 14400431231. The next prime is 14400431233. The reversal of 14400431232 is 23213400441.

It is an interprime number because it is at equal distance from previous prime (14400431231) and next prime (14400431233).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×144004312322 (a number of 21 digits) contains 22 as substring.

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 (14400431231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444778 + ... + 476054.

Almost surely, 214400431232 is an apocalyptic number.

14400431232 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 14400431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056349600).

14400431232 is an abundant number, since it is smaller than the sum of its proper divisors (27712267968).

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

14400431232 is a wasteful number, since it uses less digits than its factorization.

14400431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14400431232 its reverse (23213400441), we get a palindrome (37613831673).

The spelling of 14400431232 in words is "fourteen billion, four hundred million, four hundred thirty-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 96 109 128 132 176 192 218 264 327 352 384 436 528 654 704 872 1056 1199 1308 1408 1744 2112 2398 2616 3488 3597 4224 4796 5232 6976 7194 9592 10464 13952 14388 19184 20928 28776 31277 38368 41856 57552 62554 76736 93831 115104 125108 153472 187662 230208 250216 344047 375324 460416 500432 688094 750648 1000864 1032141 1376188 1501296 2001728 2064282 2752376 3002592 3409193 4003456 4128564 5504752 6005184 6818386 8257128 10227579 11009504 12010368 13636772 16514256 20455158 22019008 27273544 33028512 37501123 40910316 44038016 54547088 66057024 75002246 81820632 109094176 112503369 132114048 150004492 163641264 218188352 225006738 300008984 327282528 436376704 450013476 600017968 654565056 900026952 1200035936 1309130112 1800053904 2400071872 3600107808 4800143744 7200215616 14400431232