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14455623936 = 283132775227
BaseRepresentation
bin11010111011001111…
…10101000100000000
31101022102210210010010
431131213311010000
5214101114431221
610350230104520
71021136530125
oct153547650400
941272723103
1014455623936
116148906246
1229751ab140
131494b27640
149b1bda74c
15599132c76
hex35d9f5100

14455623936 has 144 divisors (see below), whose sum is σ = 41590036544. Its totient is φ = 4430979072.

The previous prime is 14455623929. The next prime is 14455623953. The reversal of 14455623936 is 63932655441.

It is a super-2 number, since 2×144556239362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2762955 + ... + 2768181.

Almost surely, 214455623936 is an apocalyptic number.

14455623936 is a gapful number since it is divisible by the number (16) 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 14455623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795018272).

14455623936 is an abundant number, since it is smaller than the sum of its proper divisors (27134412608).

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

14455623936 is a wasteful number, since it uses less digits than its factorization.

14455623936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5522 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 14455623936 in words is "fourteen billion, four hundred fifty-five million, six hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 277 312 384 416 554 624 768 831 832 1108 1248 1662 1664 2216 2496 3324 3328 3601 4432 4992 5227 6648 7202 8864 9984 10454 10803 13296 14404 15681 17728 20908 21606 26592 28808 31362 35456 41816 43212 53184 57616 62724 67951 70912 83632 86424 106368 115232 125448 135902 167264 172848 203853 212736 230464 250896 271804 334528 345696 407706 460928 501792 543608 669056 691392 815412 921856 1003584 1087216 1338112 1382784 1447879 1630824 2007168 2174432 2765568 2895758 3261648 4014336 4343637 4348864 5791516 6523296 8687274 8697728 11583032 13046592 17374548 17395456 18822427 23166064 26093184 34749096 37644854 46332128 52186368 56467281 69498192 75289708 92664256 112934562 138996384 150579416 185328512 225869124 277992768 301158832 370657024 451738248 555985536 602317664 903476496 1111971072 1204635328 1806952992 2409270656 3613905984 4818541312 7227811968 14455623936