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38084677040040 = 23352313798796029
BaseRepresentation
bin10001010100011010001111…
…01001010111011110101000
311222211212012121212111010120
420222031013221113132220
514442434404310240130
6212555505322043240
711010345541360341
oct1052150751273650
9158755177774116
1038084677040040
1111153691361814
124331095349520
1318334a611a517
149594459d70c8
15460a0ab1c910
hex22a347a577a8

38084677040040 has 64 divisors (see below), whose sum is σ = 119221597699200. Its totient is φ = 9714352403712.

The previous prime is 38084677040029. The next prime is 38084677040101. The reversal of 38084677040040 is 4004077648083.

It is a happy number.

38084677040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6899395255 + ... + 6899400774.

It is an arithmetic number, because the mean of its divisors is an integer number (1862837464050).

Almost surely, 238084677040040 is an apocalyptic number.

38084677040040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38084677040040 is an abundant number, since it is smaller than the sum of its proper divisors (81136920659160).

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

38084677040040 is a wasteful number, since it uses less digits than its factorization.

38084677040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798796066 (or 13798796062 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 38084677040040 in words is "thirty-eight trillion, eighty-four billion, six hundred seventy-seven million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 13798796029 27597592058 41396388087 55195184116 68993980145 82792776174 110390368232 137987960290 165585552348 206981940435 275975920580 317372308667 331171104696 413963880870 551951841160 634744617334 827927761740 952116926001 1269489234668 1586861543335 1655855523480 1904233852002 2538978469336 3173723086670 3808467704004 4760584630005 6347446173340 7616935408008 9521169260010 12694892346680 19042338520020 38084677040040