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14400113523024 = 24310319379150299
BaseRepresentation
bin1101000110001100100110…
…1001101011100101010000
31212222122012200002220001210
43101203021221223211100
53341412413030214044
650343153144300120
73014242144235355
oct321431151534520
955878180086053
1014400113523024
114652065745569
121746a08a71640
13805c03c5c078
1437ad7d74262c
1519e8a776d1b9
hexd18c9a6b950

14400113523024 has 80 divisors (see below), whose sum is σ = 37563649344000. Its totient is φ = 4753158619008.

The previous prime is 14400113522917. The next prime is 14400113523071. The reversal of 14400113523024 is 42032531100441.

It is a junction number, because it is equal to n+sod(n) for n = 14400113522982 and 14400113523000.

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, 95734627 + ... + 95884925.

It is an arithmetic number, because the mean of its divisors is an integer number (469545616800).

Almost surely, 214400113523024 is an apocalyptic number.

It is an amenable number.

14400113523024 is an abundant number, since it is smaller than the sum of its proper divisors (23163535820976).

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

14400113523024 is a wasteful number, since it uses less digits than its factorization.

14400113523024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169792 (or 169786 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14400113523024 its reverse (42032531100441), we get a palindrome (56432644623465).

The spelling of 14400113523024 in words is "fourteen trillion, four hundred billion, one hundred thirteen million, five hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 19379 38758 58137 77516 116274 150299 155032 232548 300598 310064 450897 465096 601196 901794 930192 1202392 1803588 1996037 2404784 3607176 3992074 5988111 7214352 7984148 11976222 15480797 15968296 23952444 30961594 31936592 46442391 47904888 61923188 92884782 95809776 123846376 185769564 247692752 371539128 743078256 2912644321 5825288642 8737932963 11650577284 17475865926 23301154568 34951731852 46602309136 69903463704 139806927408 300002365063 600004730126 900007095189 1200009460252 1800014190378 2400018920504 3600028380756 4800037841008 7200056761512 14400113523024