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274242242472 = 2331117127481147
BaseRepresentation
bin1111111101101000011…
…1001000011110101000
3222012212102011101000120
43333122013020132220
513443122003224342
6325552443003240
725545656412342
oct3773207103650
9865772141016
10274242242472
11a633a661890
1245197209520
131cb26612973
14d3b82a8292
15720120aaec
hex3fda1c87a8

274242242472 has 128 divisors (see below), whose sum is σ = 798166794240. Its totient is φ = 77599226880.

The previous prime is 274242242437. The next prime is 274242242473.

274242242472 is nontrivially palindromic in base 10.

274242242472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (274242242473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329403 + ... + 810549.

It is an arithmetic number, because the mean of its divisors is an integer number (6235678080).

Almost surely, 2274242242472 is an apocalyptic number.

274242242472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274242242472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399083397120).

274242242472 is an abundant number, since it is smaller than the sum of its proper divisors (523924551768).

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

274242242472 is a wasteful number, since it uses less digits than its factorization.

274242242472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481311 (or 481307 counting only the distinct ones).

The product of its digits is 802816, while the sum is 42.

The spelling of 274242242472 in words is "two hundred seventy-four billion, two hundred forty-two million, two hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 127 132 136 187 204 254 264 374 381 408 508 561 748 762 1016 1122 1397 1496 1524 2159 2244 2794 3048 4191 4318 4488 5588 6477 8382 8636 11176 12954 16764 17272 23749 25908 33528 47498 51816 71247 94996 142494 189992 284988 481147 569976 962294 1443441 1924588 2886882 3849176 5292617 5773764 8179499 10585234 11547528 15877851 16358998 21170468 24538497 31755702 32717996 42340936 49076994 61105669 63511404 65435992 89974489 98153988 122211338 127022808 179948978 183317007 196307976 244422676 269923467 359897956 366634014 488845352 539846934 672162359 719795912 733268028 1038796373 1079693868 1344324718 1466536056 2016487077 2077592746 2159387736 2688649436 3116389119 4032974154 4155185492 5377298872 6232778238 8065948308 8310370984 11426760103 12465556476 16131896616 22853520206 24931112952 34280280309 45707040412 68560560618 91414080824 137121121236 274242242472