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42317268480 = 29335612229
BaseRepresentation
bin100111011010010011…
…100100011000000000
311001020011101222021000
4213122103210120000
51143131210042410
631235033532000
73025442563404
oct473223443000
9131204358230
1042317268480
1116a45aa4163
12824bb74000
133cb5192746
142096253104
15117a169dc0
hex9da4e4600

42317268480 has 160 divisors (see below), whose sum is σ = 150314709600. Its totient is φ = 11284586496.

The previous prime is 42317268473. The next prime is 42317268509. The reversal of 42317268480 is 8486271324.

It is a happy number.

42317268480 is a `hidden beast` number, since 42 + 3 + 1 + 72 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 236995 + ... + 375234.

It is an arithmetic number, because the mean of its divisors is an integer number (939466935).

Almost surely, 242317268480 is an apocalyptic number.

42317268480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42317268480 is an abundant number, since it is smaller than the sum of its proper divisors (107997441120).

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

42317268480 is an equidigital number, since it uses as much as digits as its factorization.

42317268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612261 (or 612239 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42317268480 in words is "forty-two billion, three hundred seventeen million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 612229 1224458 1836687 2448916 3061145 3673374 4897832 5510061 6122290 7346748 9183435 9795664 11020122 12244580 14693496 16530183 18366870 19591328 22040244 24489160 27550305 29386992 33060366 36733740 39182656 44080488 48978320 55100610 58773984 66120732 73467480 78365312 82650915 88160976 97956640 110201220 117547968 132241464 146934960 156730624 165301830 176321952 195913280 220402440 235095936 264482928 293869920 313461248 330603660 352643904 391826560 440804880 470191872 528965856 587739840 661207320 705287808 783653120 881609760 940383744 1057931712 1175479680 1322414640 1410575616 1567306240 1763219520 2115863424 2350959360 2644829280 2821151232 3526439040 4231726848 4701918720 5289658560 7052878080 8463453696 10579317120 14105756160 21158634240 42317268480