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10130410440 = 2332528140029
BaseRepresentation
bin10010110111101000…
…11100101111001000
3222011000011011121200
421123310130233020
5131221341113230
64353121504200
7506020032213
oct113364345710
928130134550
1010130410440
114329397337
121b687a2060
13c55a1aa07
146c15cc77a
153e456d160
hex25bd1cbc8

10130410440 has 48 divisors (see below), whose sum is σ = 32923835100. Its totient is φ = 2701442688.

The previous prime is 10130410429. The next prime is 10130410447. The reversal of 10130410440 is 4401403101.

It can be written as a sum of positive squares in 2 ways, for example, as 9679017924 + 451392516 = 98382^2 + 21246^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10130410447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14069655 + ... + 14070374.

Almost surely, 210130410440 is an apocalyptic number.

10130410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130410440 is an abundant number, since it is smaller than the sum of its proper divisors (22793424660).

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

10130410440 is a wasteful number, since it uses less digits than its factorization.

10130410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28140046 (or 28140039 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10130410440 its reverse (4401403101), we get a palindrome (14531813541).

The spelling of 10130410440 in words is "ten billion, one hundred thirty million, four hundred ten thousand, four hundred 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 28140029 56280058 84420087 112560116 140700145 168840174 225120232 253260261 281400290 337680348 422100435 506520522 562800580 675360696 844200870 1013041044 1125601160 1266301305 1688401740 2026082088 2532602610 3376803480 5065205220 10130410440