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42310601520 = 24351118318753
BaseRepresentation
bin100111011001111010…
…001000101100110000
311001012200212020220120
4213121322020230300
51143123003222040
631234235010240
73025332115245
oct473172105460
9131180766816
1042310601520
1116a42260180
128249899980
133cb3999cb5
1420953d95cc
15117979e7d0
hex9d9e88b30

42310601520 has 160 divisors (see below), whose sum is σ = 143181264384. Its totient is φ = 10250342400.

The previous prime is 42310601491. The next prime is 42310601537. The reversal of 42310601520 is 2510601324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4829464 + ... + 4838216.

Almost surely, 242310601520 is an apocalyptic number.

42310601520 is a gapful number since it is divisible by the number (40) 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 42310601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71590632192).

42310601520 is an abundant number, since it is smaller than the sum of its proper divisors (100870662864).

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

42310601520 is a wasteful number, since it uses less digits than its factorization.

42310601520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 42310601520 in words is "forty-two billion, three hundred ten million, six hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1831 2640 3662 5493 7324 8753 9155 10986 14648 17506 18310 20141 21972 26259 27465 29296 35012 36620 40282 43765 43944 52518 54930 60423 70024 73240 80564 87530 87888 96283 100705 105036 109860 120846 131295 140048 146480 161128 175060 192566 201410 210072 219720 241692 262590 288849 302115 322256 350120 385132 402820 420144 439440 481415 483384 525180 577698 604230 700240 770264 805640 962830 966768 1050360 1155396 1208460 1444245 1540528 1611280 1925660 2100720 2310792 2416920 2888490 3851320 4621584 4833840 5776980 7702640 11553960 16026743 23107920 32053486 48080229 64106972 80133715 96160458 128213944 160267430 176294173 192320916 240401145 256427888 320534860 352588346 384641832 480802290 528882519 641069720 705176692 769283664 881470865 961604580 1057765038 1282139440 1410353384 1762941730 1923209160 2115530076 2644412595 2820706768 3525883460 3846418320 4231060152 5288825190 7051766920 8462120304 10577650380 14103533840 21155300760 42310601520