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10042041204 = 22331367106753
BaseRepresentation
bin10010101101000110…
…10110001101110100
3221220211212112211000
421112203112031310
5131031230304304
64340243443300
7503564641026
oct112643261564
927824775730
1010042041204
11429351a208
121b43086530
13c4061a120
146b3988016
153db914939
hex2568d6374

10042041204 has 96 divisors (see below), whose sum is σ = 28456346240. Its totient is φ = 3043713024.

The previous prime is 10042041181. The next prime is 10042041223. The reversal of 10042041204 is 40214024001.

10042041204 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 41 + 204 = 666.

10042041204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40692 + ... + 147444.

Almost surely, 210042041204 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 10042041204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228173120).

10042041204 is an abundant number, since it is smaller than the sum of its proper divisors (18414305036).

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

10042041204 is a wasteful number, since it uses less digits than its factorization.

10042041204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106846 (or 106838 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10042041204 its reverse (40214024001), we get a palindrome (50256065205).

The spelling of 10042041204 in words is "ten billion, forty-two million, forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 94068 106753 213506 320259 427012 640518 960777 1281036 1387789 1921554 2775578 2882331 3843108 4163367 5551156 5764662 7152451 8326734 11529324 12490101 14304902 16653468 21457353 24980202 28609804 37470303 42914706 49960404 64372059 74940606 85829412 92981863 128744118 149881212 185963726 193116177 257488236 278945589 371927452 386232354 557891178 772464708 836836767 1115782356 1673673534 2510510301 3347347068 5021020602 10042041204