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42140871600 = 24352172065729
BaseRepresentation
bin100111001111110010…
…101010101110110000
311000202212111002020020
4213033302222232300
51142301030342400
631205333043440
73021201332652
oct471762525660
9130685432206
1042140871600
1116965472613
128200a86580
133c877808a9
14207aa566d2
1511699242a0
hex9cfcaabb0

42140871600 has 120 divisors (see below), whose sum is σ = 142931990160. Its totient is φ = 10576527360.

The previous prime is 42140871439. The next prime is 42140871601. The reversal of 42140871600 is 617804124.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (42140871601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012465 + ... + 1053264.

It is an arithmetic number, because the mean of its divisors is an integer number (1191099918).

Almost surely, 242140871600 is an apocalyptic number.

42140871600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42140871600 is an abundant number, since it is smaller than the sum of its proper divisors (100791118560).

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

42140871600 is a wasteful number, since it uses less digits than its factorization.

42140871600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065767 (or 2065756 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 42140871600 in words is "forty-two billion, one hundred forty million, eight hundred seventy-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 2065729 4131458 6197187 8262916 10328645 12394374 16525832 20657290 24788748 30985935 33051664 35117393 41314580 49577496 51643225 61971870 70234786 82629160 99154992 103286450 105352179 123943740 140469572 154929675 165258320 175586965 206572900 210704358 247887480 280939144 309859350 351173930 413145800 421408716 495774960 526760895 561878288 619718700 702347860 826291600 842817432 877934825 1053521790 1239437400 1404695720 1685634864 1755869650 2107043580 2478874800 2633804475 2809391440 3511739300 4214087160 5267608950 7023478600 8428174320 10535217900 14046957200 21070435800 42140871600