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14413312032 = 253745746933
BaseRepresentation
bin11010110110001100…
…11011000000100000
31101012111012010002120
431123012123000200
5214004301441112
610342115144240
71020114062610
oct153306330040
941174163076
1014413312032
116126a36729
122962ba5080
131489131702
149aa344a40
15595575e8c
hex35b19b020

14413312032 has 96 divisors (see below), whose sum is σ = 43335476352. Its totient is φ = 4108990464.

The previous prime is 14413312027. The next prime is 14413312061. The reversal of 14413312032 is 23021331441.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 14413311993 and 14413312011.

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, 283638 + ... + 330570.

It is an arithmetic number, because the mean of its divisors is an integer number (451411212).

Almost surely, 214413312032 is an apocalyptic number.

14413312032 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 14413312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21667738176).

14413312032 is an abundant number, since it is smaller than the sum of its proper divisors (28922164320).

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

14413312032 is a wasteful number, since it uses less digits than its factorization.

14413312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47410 (or 47402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14413312032 its reverse (23021331441), we get a palindrome (37434643473).

The spelling of 14413312032 in words is "fourteen billion, four hundred thirteen million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 457 672 914 1371 1828 2742 3199 3656 5484 6398 7312 9597 10968 12796 14624 19194 21936 25592 38388 43872 46933 51184 76776 93866 102368 140799 153552 187732 281598 307104 328531 375464 563196 657062 750928 985593 1126392 1314124 1501856 1971186 2252784 2628248 3942372 4505568 5256496 7884744 10512992 15769488 21448381 31538976 42896762 64345143 85793524 128690286 150138667 171587048 257380572 300277334 343174096 450416001 514761144 600554668 686348192 900832002 1029522288 1201109336 1801664004 2059044576 2402218672 3603328008 4804437344 7206656016 14413312032