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40811385744 = 2432893184409
BaseRepresentation
bin100110000000100011…
…000101001110010000
310220100012211012111100
4212000203011032100
51132040203320434
630425401344400
72643226024623
oct460043051620
9126305735440
1040811385744
1116342a66178
127aab798100
133b051c097c
141d9225bdba
1510dcd5c699
hex9808c5390

40811385744 has 60 divisors (see below), whose sum is σ = 115498550700. Its totient is φ = 13450939392.

The previous prime is 40811385743. The next prime is 40811385757. The reversal of 40811385744 is 44758311804.

40811385744 is a `hidden beast` number, since 40 + 8 + 1 + 1 + 38 + 574 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6766707600 + 34044678144 = 82260^2 + 184512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40811385744.

It is not an unprimeable number, because it can be changed into a prime (40811385743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1579389 + ... + 1605020.

It is an arithmetic number, because the mean of its divisors is an integer number (1924975845).

Almost surely, 240811385744 is an apocalyptic number.

It is an amenable number.

40811385744 is an abundant number, since it is smaller than the sum of its proper divisors (74687164956).

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

40811385744 is a wasteful number, since it uses less digits than its factorization.

40811385744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184512 (or 3184503 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 40811385744 in words is "forty billion, eight hundred eleven million, three hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 3184409 6368818 9553227 12737636 19106454 25475272 28659681 38212908 50950544 57319362 76425816 114638724 152851632 229277448 283412401 458554896 566824802 850237203 1133649604 1700474406 2267299208 2550711609 3400948812 4534598416 5101423218 6801897624 10202846436 13603795248 20405692872 40811385744