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1124012408040 = 2332510612942749
BaseRepresentation
bin10000010110110100010…
…111000011110011101000
310222110021100122111001200
4100112310113003303220
5121403434134024130
62220210354444200
7144131034554034
oct20266427036350
93873240574050
101124012408040
113a3766779615
12161a11593660
1381cbc82a242
143c58c6131c4
151e388ae3760
hex105b45c3ce8

1124012408040 has 96 divisors (see below), whose sum is σ = 3656484585000. Its totient is φ = 299454036480.

The previous prime is 1124012407981. The next prime is 1124012408041. The reversal of 1124012408040 is 408042104211.

1124012408040 is a `hidden beast` number, since 1 + 1 + 240 + 12 + 408 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115021954916 + 8990453124 = 1055946^2 + 94818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1124012407995 and 1124012408013.

It is not an unprimeable number, because it can be changed into a prime (1124012408041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089415 + ... + 1853334.

Almost surely, 21124012408040 is an apocalyptic number.

1124012408040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124012408040 is an abundant number, since it is smaller than the sum of its proper divisors (2532472176960).

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

1124012408040 is a wasteful number, since it uses less digits than its factorization.

1124012408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943827 (or 2943820 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 1124012408040 in words is "one trillion, one hundred twenty-four billion, twelve million, four hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1061 2122 3183 4244 5305 6366 8488 9549 10610 12732 15915 19098 21220 25464 31830 38196 42440 47745 63660 76392 95490 127320 190980 381960 2942749 5885498 8828247 11770996 14713745 17656494 23541992 26484741 29427490 35312988 44141235 52969482 58854980 70625976 88282470 105938964 117709960 132423705 176564940 211877928 264847410 353129880 529694820 1059389640 3122256689 6244513378 9366770067 12489026756 15611283445 18733540134 24978053512 28100310201 31222566890 37467080268 46833850335 56200620402 62445133780 74934160536 93667700670 112401240804 124890267560 140501551005 187335401340 224802481608 281003102010 374670802680 562006204020 1124012408040