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11140004148 = 22371346122129
BaseRepresentation
bin10100101111111111…
…01111100100110100
31001202100212211211020
422113333233210310
5140303320113043
65041224541140
7543026321130
oct122777574464
931670784736
1011140004148
1147a7272aa9
1221aa9217b0
131086c36840
147797163c0
15452ee6e83
hex297fef934

11140004148 has 96 divisors (see below), whose sum is σ = 32062652160. Its totient is φ = 2931517440.

The previous prime is 11140004147. The next prime is 11140004153. The reversal of 11140004148 is 84140004111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140004147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492348 + ... + 514476.

It is an arithmetic number, because the mean of its divisors is an integer number (333985960).

Almost surely, 211140004148 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 11140004148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031326080).

11140004148 is an abundant number, since it is smaller than the sum of its proper divisors (20922648012).

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

11140004148 is a wasteful number, since it uses less digits than its factorization.

11140004148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22617 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11140004148 its reverse (84140004111), we get a palindrome (95280008259).

The spelling of 11140004148 in words is "eleven billion, one hundred forty million, four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 461 546 922 1092 1383 1844 2766 3227 5532 5993 6454 9681 11986 12908 17979 19362 22129 23972 35958 38724 41951 44258 66387 71916 83902 88516 125853 132774 154903 167804 251706 265548 287677 309806 464709 503412 575354 619612 863031 929418 1150708 1726062 1858836 2013739 3452124 4027478 6041217 8054956 10201469 12082434 20402938 24164868 30604407 40805876 61208814 71410283 122417628 132619097 142820566 214230849 265238194 285641132 397857291 428461698 530476388 795714582 856923396 928333679 1591429164 1856667358 2785001037 3713334716 5570002074 11140004148