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10116140144 = 241128958711
BaseRepresentation
bin10010110101111100…
…00000110001110000
3222010000022011110012
421122332000301300
5131204212441034
64351451554052
7505454525645
oct113276006160
928100264405
1010116140144
11432132a900
121b63a5b928
13c52a92556
146bd755dcc
153e319ecce
hex25af80c70

10116140144 has 60 divisors (see below), whose sum is σ = 21786261840. Its totient is φ = 4546502400.

The previous prime is 10116140129. The next prime is 10116140147. The reversal of 10116140144 is 44104161101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116140147) 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, 142949 + ... + 201659.

It is an arithmetic number, because the mean of its divisors is an integer number (363104364).

Almost surely, 210116140144 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 10116140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893130920).

10116140144 is an abundant number, since it is smaller than the sum of its proper divisors (11670121696).

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

10116140144 is a wasteful number, since it uses less digits than its factorization.

10116140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58830 (or 58813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 10116140144 in words is "ten billion, one hundred sixteen million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 121 176 178 242 356 484 712 968 979 1424 1936 1958 3916 7832 10769 15664 21538 43076 58711 86152 117422 172304 234844 469688 645821 939376 1291642 2583284 5166568 5225279 7104031 10333136 10450558 14208062 20901116 28416124 41802232 56832248 57478069 83604464 113664496 114956138 229912276 459824552 632258759 919649104 1264517518 2529035036 5058070072 10116140144