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14293971120 = 24351113416491
BaseRepresentation
bin11010100111111110…
…01011000010110000
31100220011121222010210
431103333023002300
5213233224033440
610322213224120
71014134515122
oct152377130260
940804558123
1014293971120
116075635080
12292b032040
13146a4a87a0
1499855b212
15589d50a80
hex353fcb0b0

14293971120 has 160 divisors (see below), whose sum is σ = 52058168064. Its totient is φ = 3198643200.

The previous prime is 14293971053. The next prime is 14293971173. The reversal of 14293971120 is 2117939241.

It is a super-2 number, since 2×142939711202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173926 + ... + 242565.

Almost surely, 214293971120 is an apocalyptic number.

14293971120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14293971120 is an abundant number, since it is smaller than the sum of its proper divisors (37764196944).

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

14293971120 is a wasteful number, since it uses less digits than its factorization.

14293971120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416531 (or 416525 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 14293971120 in words is "fourteen billion, two hundred ninety-three million, nine hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 416491 832982 1249473 1665964 2082455 2498946 3331928 4164910 4581401 4997892 5414383 6247365 6663856 8329820 9162802 9995784 10828766 12494730 13744203 16243149 16659640 18325604 19991568 21657532 22907005 24989460 27071915 27488406 32486298 33319280 36651208 43315064 45814010 49978920 54143830 54976812 59558213 64972596 68721015 73302416 81215745 86630128 91628020 99957840 108287660 109953624 119116426 129945192 137442030 162431490 178674639 183256040 216575320 219907248 238232852 259890384 274884060 297791065 324862980 357349278 366512080 433150640 476465704 549768120 595582130 649725960 714698556 893373195 952931408 1099536240 1191164260 1299451920 1429397112 1786746390 2382328520 2858794224 3573492780 4764657040 7146985560 14293971120