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10418140304 = 24111310145083
BaseRepresentation
bin10011011001111100…
…00011010010010000
3222220001120100210022
421230332003102100
5132314020442204
64441440523012
7516112505615
oct115476032220
928801510708
1010418140304
114466850010
122029020468
13ca0510880
1470b8ca50c
1540e9565be
hex26cf83490

10418140304 has 80 divisors (see below), whose sum is σ = 23949342144. Its totient is φ = 4327872000.

The previous prime is 10418140289. The next prime is 10418140387. The reversal of 10418140304 is 40304181401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208547 + ... + 253629.

Almost surely, 210418140304 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 10418140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974671072).

10418140304 is an abundant number, since it is smaller than the sum of its proper divisors (13531201840).

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

10418140304 is a wasteful number, since it uses less digits than its factorization.

10418140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45216 (or 45210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 10418140304 in words is "ten billion, four hundred eighteen million, one hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1111 1144 1313 1616 2222 2288 2626 4444 5252 8888 10504 14443 17776 21008 28886 45083 57772 90166 115544 180332 231088 360664 495913 586079 721328 991826 1172158 1983652 2344316 3967304 4553383 4688632 6446869 7934608 9106766 9377264 12893738 18213532 25787476 36427064 50087213 51574952 59193979 72854128 100174426 103149904 118387958 200348852 236775916 400697704 473551832 651133769 801395408 947103664 1302267538 2604535076 5209070152 10418140304