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40816139568 = 24319972232069
BaseRepresentation
bin100110000000110101…
…001101110100110000
310220100112202201111220
4212000311031310300
51132042412431233
630430051305040
72643314314311
oct460065156460
9126315681456
1040816139568
1116345712856
127ab12ab180
133b06196699
141d92b38608
1510dd49aeb3
hex980d4dd30

40816139568 has 160 divisors (see below), whose sum is σ = 112692787200. Its totient is φ = 12693086208.

The previous prime is 40816139563. The next prime is 40816139593. The reversal of 40816139568 is 86593161804.

It is a self number, because there is not a number n which added to its sum of digits gives 40816139568.

It is not an unprimeable number, because it can be changed into a prime (40816139563) 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, 19726438 + ... + 19728506.

It is an arithmetic number, because the mean of its divisors is an integer number (704329920).

Almost surely, 240816139568 is an apocalyptic number.

40816139568 is a gapful number since it is divisible by the number (48) 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 40816139568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56346393600).

40816139568 is an abundant number, since it is smaller than the sum of its proper divisors (71876647632).

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

40816139568 is a wasteful number, since it uses less digits than its factorization.

40816139568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 40816139568 in words is "forty billion, eight hundred sixteen million, one hundred thirty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 223 228 291 304 388 446 456 582 669 776 892 912 1164 1338 1552 1784 1843 2069 2328 2676 3568 3686 4138 4237 4656 5352 5529 6207 7372 8276 8474 10704 11058 12414 12711 14744 16552 16948 21631 22116 24828 25422 29488 33104 33896 39311 43262 44232 49656 50844 64893 67792 78622 86524 88464 99312 101688 117933 129786 157244 173048 200693 203376 235866 259572 314488 346096 401386 410989 461387 471732 519144 602079 628976 802772 821978 922774 943464 1038288 1204158 1232967 1384161 1605544 1643956 1845548 1886928 2408316 2465934 2768322 3211088 3287912 3691096 3813167 4816632 4931868 5536644 6575824 7382192 7626334 8766353 9633264 9863736 11073288 11439501 15252668 17532706 19727472 22146576 22879002 26299059 30505336 35065412 44754539 45758004 52598118 61010672 70130824 89509078 91516008 105196236 134263617 140261648 179018156 183032016 210392472 268527234 358036312 420784944 537054468 716072624 850336241 1074108936 1700672482 2148217872 2551008723 3401344964 5102017446 6802689928 10204034892 13605379856 20408069784 40816139568