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10042514244 = 2233717781397
BaseRepresentation
bin10010101101001010…
…01001101101000100
3221220212202120201000
421112211021231010
5131031340423434
64340301533300
7503601651120
oct112645115504
927825676630
1010042514244
114293812654
121b43274230
13c40754529
146b3a6c580
153db9a9b99
hex256949b44

10042514244 has 96 divisors (see below), whose sum is σ = 31505967360. Its totient is φ = 2700504576.

The previous prime is 10042514243. The next prime is 10042514303. The reversal of 10042514244 is 44241524001.

10042514244 is a `hidden beast` number, since 100 + 4 + 2 + 514 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10042514243) 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, 377847 + ... + 403550.

It is an arithmetic number, because the mean of its divisors is an integer number (328187160).

Almost surely, 210042514244 is an apocalyptic number.

10042514244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10042514244 is an abundant number, since it is smaller than the sum of its proper divisors (21463453116).

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

10042514244 is a wasteful number, since it uses less digits than its factorization.

10042514244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781434 (or 781426 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 10042514244 in words is "ten billion, forty-two million, five hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 781397 1562794 2344191 3125588 4688382 5469779 7032573 9376764 10939558 13283749 14065146 16409337 21097719 21879116 26567498 28130292 32818674 39851247 42195438 49228011 53134996 65637348 79702494 84390876 92986243 98456022 119553741 147684033 159404988 185972486 196912044 239107482 278958729 295368066 358661223 371944972 478214964 557917458 590736132 717322446 836876187 1115834916 1434644892 1673752374 2510628561 3347504748 5021257122 10042514244