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8111408144 = 247476125261
BaseRepresentation
bin1111000110111101…
…00100010000010000
3202221022001020010212
413203132210100100
5113103010030034
63420515343252
7405002555150
oct74336442020
922838036125
108111408144
113492750aa4
1216a45b1b28
139c364c3b8
1456d3c8760
153271a52ce
hex1e37a4410

8111408144 has 80 divisors (see below), whose sum is σ = 18644568576. Its totient is φ = 3346444800.

The previous prime is 8111408111. The next prime is 8111408177. The reversal of 8111408144 is 4418041118.

It is an interprime number because it is at equal distance from previous prime (8111408111) and next prime (8111408177).

It is a self number, because there is not a number n which added to its sum of digits gives 8111408144.

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, 308474 + ... + 333734.

Almost surely, 28111408144 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 8111408144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322284288).

8111408144 is an abundant number, since it is smaller than the sum of its proper divisors (10533160432).

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

8111408144 is a wasteful number, since it uses less digits than its factorization.

8111408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384 (or 25378 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 8111408144 is about 90063.3562776782. The cubic root of 8111408144 is about 2009.2412459196.

The spelling of 8111408144 in words is "eight billion, one hundred eleven million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 61 94 112 122 188 244 329 376 427 488 658 752 854 976 1316 1708 2632 2867 3416 5264 5734 6832 11468 20069 22936 25261 40138 45872 50522 80276 101044 160552 176827 202088 321104 353654 404176 707308 1187267 1414616 1540921 2374534 2829232 3081842 4749068 6163684 8310869 9498136 10786447 12327368 16621738 18996272 21572894 24654736 33243476 43145788 66486952 72423287 86291576 132973904 144846574 172583152 289693148 506963009 579386296 1013926018 1158772592 2027852036 4055704072 8111408144