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6014141056 = 277114712983
BaseRepresentation
bin1011001100111100…
…01000001010000000
3120112010200000120001
411212132020022000
544304110003211
62432435525344
7302015232640
oct54636101200
916463600501
106014141056
11260690a210
1211ba159854
1374acaa461
14410a50520
15252eccac1
hex166788280

6014141056 has 128 divisors (see below), whose sum is σ = 15256719360. Its totient is φ = 2293140480.

The previous prime is 6014140973. The next prime is 6014141069. The reversal of 6014141056 is 6501414106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456741 + ... + 469723.

It is an arithmetic number, because the mean of its divisors is an integer number (119193120).

Almost surely, 26014141056 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 6014141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628359680).

6014141056 is an abundant number, since it is smaller than the sum of its proper divisors (9242578304).

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

6014141056 is a wasteful number, since it uses less digits than its factorization.

6014141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13062 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 6014141056 is about 77550.8933281880. The cubic root of 6014141056 is about 1818.5470285714.

The spelling of 6014141056 in words is "six billion, fourteen million, one hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 128 154 176 188 224 308 329 352 376 448 517 616 658 704 752 896 1034 1232 1316 1408 1504 2068 2464 2632 3008 3619 4136 4928 5264 6016 7238 8272 9856 10528 12983 14476 16544 21056 25966 28952 33088 42112 51932 57904 66176 90881 103864 115808 142813 181762 207728 231616 285626 363524 415456 463232 571252 610201 727048 830912 999691 1142504 1220402 1454096 1661824 1999382 2285008 2440804 2908192 3998764 4271407 4570016 4881608 5816384 6712211 7997528 8542814 9140032 9763216 11632768 13424422 15995056 17085628 18280064 19526432 26848844 31990112 34171256 39052864 46985477 53697688 63980224 68342512 78105728 93970954 107395376 127960448 136685024 187941908 214790752 273370048 375883816 429581504 546740096 751767632 859163008 1503535264 3007070528 6014141056