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40065047808 = 283417117921
BaseRepresentation
bin100101010100000100…
…000001110100000000
310211102012110022022120
4211110010001310000
51124023123012213
630223341004240
72615564200362
oct452404016400
9124365408276
1040065047808
1115a9a747465
127921853680
133a166a8ca6
141d210a0d32
151097585423
hex954101d00

40065047808 has 144 divisors (see below), whose sum is σ = 110776885632. Its totient is φ = 12845056000.

The previous prime is 40065047797. The next prime is 40065047809. The reversal of 40065047808 is 80874056004.

It is a self number, because there is not a number n which added to its sum of digits gives 40065047808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40065047809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226688 + ... + 2244608.

It is an arithmetic number, because the mean of its divisors is an integer number (769283928).

Almost surely, 240065047808 is an apocalyptic number.

40065047808 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 40065047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55388442816).

40065047808 is an abundant number, since it is smaller than the sum of its proper divisors (70711837824).

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

40065047808 is a wasteful number, since it uses less digits than its factorization.

40065047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18052 (or 18038 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 40065047808 in words is "forty billion, sixty-five million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 71 82 96 123 128 142 164 192 213 246 256 284 328 384 426 492 568 656 768 852 984 1136 1312 1704 1968 2272 2624 2911 3408 3936 4544 5248 5822 6816 7872 8733 9088 10496 11644 13632 15744 17466 17921 18176 23288 27264 31488 34932 35842 46576 53763 54528 69864 71684 93152 107526 139728 143368 186304 215052 279456 286736 372608 430104 558912 573472 734761 745216 860208 1117824 1146944 1272391 1469522 1720416 2204283 2235648 2293888 2544782 2939044 3440832 3817173 4408566 4587776 5089564 5878088 6881664 7634346 8817132 10179128 11756176 13763328 15268692 17634264 20358256 23512352 30537384 35268528 40716512 47024704 52168031 61074768 70537056 81433024 94049408 104336062 122149536 141074112 156504093 162866048 188098816 208672124 244299072 282148224 313008186 325732096 417344248 488598144 564296448 626016372 834688496 977196288 1252032744 1669376992 2504065488 3338753984 5008130976 6677507968 10016261952 13355015936 20032523904 40065047808