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14421102432 = 2531122815987
BaseRepresentation
bin11010110111001000…
…01000111101100000
31101020000211220111220
431123210020331200
5214013300234212
610342554135040
71020240230262
oct153344107540
941200756456
1014421102432
116130377780
122965721480
13148a92b609
149ab3b1b32
155960b438c
hex35b908f60

14421102432 has 96 divisors (see below), whose sum is σ = 41321798784. Its totient is φ = 4367385600.

The previous prime is 14421102413. The next prime is 14421102481. The reversal of 14421102432 is 23420112441.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 2405743 + ... + 2411729.

It is an arithmetic number, because the mean of its divisors is an integer number (430435404).

Almost surely, 214421102432 is an apocalyptic number.

14421102432 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 14421102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660899392).

14421102432 is an abundant number, since it is smaller than the sum of its proper divisors (26900696352).

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

14421102432 is a wasteful number, since it uses less digits than its factorization.

14421102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14421102432 its reverse (23420112441), we get a palindrome (37841214873).

The spelling of 14421102432 in words is "fourteen billion, four hundred twenty-one million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2281 4562 5987 6843 9124 11974 13686 17961 18248 23948 25091 27372 35922 36496 47896 50182 54744 65857 71844 72992 75273 95792 100364 109488 131714 143688 150546 191584 197571 200728 218976 263428 287376 301092 395142 401456 526856 574752 602184 790284 802912 1053712 1204368 1580568 2107424 2408736 3161136 6322272 13656347 27312694 40969041 54625388 81938082 109250776 150219817 163876164 218501552 300439634 327752328 437003104 450659451 600879268 655504656 901318902 1201758536 1311009312 1802637804 2403517072 3605275608 4807034144 7210551216 14421102432