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7044139008 = 21132461829
BaseRepresentation
bin1101000111101110…
…10000100000000000
3200011220210100010100
412203313100200000
5103411244422013
63122552202400
7336363123264
oct64367204000
920156710110
107044139008
112a95261995
121447099400
138834bb6ba
144ab76a0a4
152b3637473
hex1a3dd0800

7044139008 has 144 divisors (see below), whose sum is σ = 20413493100. Its totient is φ = 2340126720.

The previous prime is 7044138973. The next prime is 7044139009. The reversal of 7044139008 is 8009314407.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7023780864 + 20358144 = 83808^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (7044139009) 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, 8496738 + ... + 8497566.

Almost surely, 27044139008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7044139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206746550).

7044139008 is an abundant number, since it is smaller than the sum of its proper divisors (13369354092).

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

7044139008 is a wasteful number, since it uses less digits than its factorization.

7044139008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7044139008 is about 83929.3691624094. The cubic root of 7044139008 is about 1916.9434700950.

The spelling of 7044139008 in words is "seven billion, forty-four million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 512 576 768 829 922 1024 1152 1383 1536 1658 1844 2048 2304 2487 2766 3072 3316 3688 4149 4608 4974 5532 6144 6632 7376 7461 8298 9216 9948 11064 13264 14752 14922 16596 18432 19896 22128 26528 29504 29844 33192 39792 44256 53056 59008 59688 66384 79584 88512 106112 118016 119376 132768 159168 177024 212224 236032 238752 265536 318336 354048 382169 424448 472064 477504 531072 636672 708096 764338 848896 944128 955008 1062144 1146507 1273344 1416192 1528676 1697792 1910016 2124288 2293014 2546688 2832384 3057352 3439521 3820032 4248576 4586028 5093376 6114704 6879042 7640064 8497152 9172056 12229408 13758084 15280128 18344112 24458816 27516168 36688224 48917632 55032336 73376448 97835264 110064672 146752896 195670528 220129344 293505792 391341056 440258688 587011584 782682112 880517376 1174023168 1761034752 2348046336 3522069504 7044139008