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40040844840 = 23325896912401
BaseRepresentation
bin100101010010100111…
…101100111000101000
310211100111220200002100
4211102213230320220
51124000424013330
630221114133400
72615151364653
oct452247547050
9124314820070
1040040844840
1115a88016407
127915721260
133a116837c9
141d1bba089a
1510953a4060
hex9529ece28

40040844840 has 96 divisors (see below), whose sum is σ = 130157749800. Its totient is φ = 10675507200.

The previous prime is 40040844827. The next prime is 40040844869. The reversal of 40040844840 is 4844804004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30416057604 + 9624787236 = 174402^2 + 98106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40040844795 and 40040844804.

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 23 ways as a sum of consecutive naturals, for example, 3222640 + ... + 3235040.

Almost surely, 240040844840 is an apocalyptic number.

40040844840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040844840 is an abundant number, since it is smaller than the sum of its proper divisors (90116904960).

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

40040844840 is a wasteful number, since it uses less digits than its factorization.

40040844840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21387 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40040844840 in words is "forty billion, forty million, eight hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8969 12401 17938 24802 26907 35876 37203 44845 49604 53814 62005 71752 74406 80721 89690 99208 107628 111609 124010 134535 148812 161442 179380 186015 215256 223218 248020 269070 297624 322884 358760 372030 403605 446436 496040 538140 558045 645768 744060 807210 892872 1076280 1116090 1488120 1614420 2232180 3228840 4464360 111224569 222449138 333673707 444898276 556122845 667347414 889796552 1001021121 1112245690 1334694828 1668368535 2002042242 2224491380 2669389656 3336737070 4004084484 4448982760 5005105605 6673474140 8008168968 10010211210 13346948280 20020422420 40040844840