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14243001024 = 263725142221
BaseRepresentation
bin11010100001111001…
…01111001011000000
31100202121201102022110
431100330233023000
5213132202013044
610313152535320
71012645340220
oct152074571300
940677642273
1014243001024
11604989152a
122915b51540
13145ca70975
14991890080
155856336b9
hex350f2f2c0

14243001024 has 112 divisors (see below), whose sum is σ = 43240732416. Its totient is φ = 4053120000.

The previous prime is 14243001011. The next prime is 14243001049. The reversal of 14243001024 is 42010034241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 316234 + ... + 358454.

It is an arithmetic number, because the mean of its divisors is an integer number (386077968).

Almost surely, 214243001024 is an apocalyptic number.

14243001024 is a gapful number since it is divisible by the number (14) 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 14243001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620366208).

14243001024 is an abundant number, since it is smaller than the sum of its proper divisors (28997731392).

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

14243001024 is a wasteful number, since it uses less digits than its factorization.

14243001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42494 (or 42484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14243001024 its reverse (42010034241), we get a palindrome (56253035265).

The spelling of 14243001024 in words is "fourteen billion, two hundred forty-three million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 251 336 448 502 672 753 1004 1344 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 42168 42221 48192 56224 84336 84442 112448 126663 168672 168884 253326 295547 337344 337768 506652 591094 675536 886641 1013304 1182188 1351072 1773282 2026608 2364376 2702144 3546564 4053216 4728752 7093128 8106432 9457504 10597471 14186256 18915008 21194942 28372512 31792413 42389884 56745024 63584826 74182297 84779768 127169652 148364594 169559536 222546891 254339304 296729188 339119072 445093782 508678608 593458376 678238144 890187564 1017357216 1186916752 1780375128 2034714432 2373833504 3560750256 4747667008 7121500512 14243001024