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10134741144 = 2331189431339
BaseRepresentation
bin10010111000001001…
…11110000010011000
3222011022022012020010
421130010332002120
5131223443204034
64353354401520
7506101610163
oct113404760230
928138265203
1010134741144
114330885030
121b6a1302a0
13c568a5c68
146c1dd8ada
153e4b263e9
hex25c13e098

10134741144 has 64 divisors (see below), whose sum is σ = 27950832000. Its totient is φ = 3036619520.

The previous prime is 10134741103. The next prime is 10134741163. The reversal of 10134741144 is 44114743101.

It is a super-4 number, since 4×101347411444 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

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, 192174 + ... + 239165.

It is an arithmetic number, because the mean of its divisors is an integer number (436731750).

Almost surely, 210134741144 is an apocalyptic number.

It is an amenable number.

10134741144 is an abundant number, since it is smaller than the sum of its proper divisors (17816090856).

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

10134741144 is a wasteful number, since it uses less digits than its factorization.

10134741144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431448 (or 431444 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10134741144 in words is "ten billion, one hundred thirty-four million, seven hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 7832 11748 23496 431339 862678 1294017 1725356 2588034 3450712 4744729 5176068 9489458 10352136 14234187 18978916 28468374 37957832 38389171 56936748 76778342 113873496 115167513 153556684 230335026 307113368 422280881 460670052 844561762 921340104 1266842643 1689123524 2533685286 3378247048 5067370572 10134741144