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42931444560 = 2435298374317
BaseRepresentation
bin100111111110111010…
…011101101101010000
311002210222002100110020
4213332322131231100
51200410422211220
631420013503440
73046611154254
oct477672355520
9132728070406
1042931444560
11172307547a4
1283a17a1b80
1340824b2944
142113a4a264
1511b4038040
hex9fee9db50

42931444560 has 160 divisors (see below), whose sum is σ = 139337331840. Its totient is φ = 10920290304.

The previous prime is 42931444429. The next prime is 42931444561. The reversal of 42931444560 is 6544413924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42931444561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540522 + ... + 614838.

It is an arithmetic number, because the mean of its divisors is an integer number (870858324).

Almost surely, 242931444560 is an apocalyptic number.

42931444560 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 42931444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69668665920).

42931444560 is an abundant number, since it is smaller than the sum of its proper divisors (96405887280).

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

42931444560 is a wasteful number, since it uses less digits than its factorization.

42931444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74445 (or 74439 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 42931444560 in words is "forty-two billion, nine hundred thirty-one million, four hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 83 87 116 120 145 166 174 232 240 249 290 332 348 415 435 464 498 580 664 696 830 870 996 1160 1245 1328 1392 1660 1740 1992 2320 2407 2490 3320 3480 3984 4814 4980 6640 6960 7221 9628 9960 12035 14442 19256 19920 24070 28884 36105 38512 48140 57768 72210 74317 96280 115536 144420 148634 192560 222951 288840 297268 371585 445902 577680 594536 743170 891804 1114755 1189072 1486340 1783608 2155193 2229510 2972680 3567216 4310386 4459020 5945360 6168311 6465579 8620772 8918040 10775965 12336622 12931158 17241544 17836080 18504933 21551930 24673244 25862316 30841555 32327895 34483088 37009866 43103860 49346488 51724632 61683110 64655790 74019732 86207720 92524665 98692976 103449264 123366220 129311580 148039464 172415440 178881019 185049330 246732440 258623160 296078928 357762038 370098660 493464880 517246320 536643057 715524076 740197320 894405095 1073286114 1431048152 1480394640 1788810190 2146572228 2683215285 2862096304 3577620380 4293144456 5366430570 7155240760 8586288912 10732861140 14310481520 21465722280 42931444560