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14538431700 = 223252131242601
BaseRepresentation
bin11011000101000111…
…01101110011010100
31101112012121212000100
431202203231303110
5214233314303300
610402345014100
71023163426152
oct154243556324
941465555010
1014538431700
116190624a11
122998a84330
1314a902ba10
149bcbd43d2
155a153d700
hex3628edcd4

14538431700 has 108 divisors (see below), whose sum is σ = 49075323388. Its totient is φ = 3578688000.

The previous prime is 14538431669. The next prime is 14538431707. The reversal of 14538431700 is 713483541.

It is a happy number.

14538431700 is a `hidden beast` number, since 14 + 538 + 43 + 1 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5278603716 + 9259827984 = 72654^2 + 96228^2 .

It is a super-2 number, since 2×145384317002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538431707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609601 + ... + 633000.

Almost surely, 214538431700 is an apocalyptic number.

14538431700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14538431700 is an abundant number, since it is smaller than the sum of its proper divisors (34536891688).

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

14538431700 is a wasteful number, since it uses less digits than its factorization.

14538431700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242634 (or 1242624 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14538431700 in words is "fourteen billion, five hundred thirty-eight million, four hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 1242601 2485202 3727803 4970404 6213005 7455606 11183409 12426010 14911212 16153813 18639015 22366818 24852020 31065025 32307626 37278030 44733636 48461439 55917045 62130050 64615252 74556060 80769065 93195075 96922878 111834090 124260100 145384317 161538130 186390150 193845756 223668180 242307195 279585225 290768634 323076260 372780300 403845325 484614390 559170450 581537268 726921585 807690650 969228780 1118340900 1211535975 1453843170 1615381300 2423071950 2907686340 3634607925 4846143900 7269215850 14538431700