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5141033118 = 23313311012339
BaseRepresentation
bin1001100100110110…
…11111000010011110
3111021021202112122000
410302123133002132
541012101024433
62210050103130
7241254026514
oct46233370236
914237675560
105141033118
1121a8a85301
12bb587aaa6
1363c13b240
1436aad44b4
15201514113
hex1326df09e

5141033118 has 128 divisors (see below), whose sum is σ = 12831436800. Its totient is φ = 1515024000.

The previous prime is 5141033021. The next prime is 5141033119. The reversal of 5141033118 is 8113301415.

5141033118 is a `hidden beast` number, since 514 + 1 + 0 + 33 + 118 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5141033091 and 5141033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141033119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2196793 + ... + 2199131.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 25141033118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141033118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

5141033118 is an abundant number, since it is smaller than the sum of its proper divisors (7690403682).

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

5141033118 is a wasteful number, since it uses less digits than its factorization.

5141033118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5141033118 is about 71700.9980265268. The cubic root of 5141033118 is about 1725.9046566711.

The spelling of 5141033118 in words is "five billion, one hundred forty-one million, thirty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 101 117 186 202 234 279 303 351 403 558 606 702 806 837 909 1209 1313 1674 1818 2339 2418 2626 2727 3131 3627 3939 4678 5454 6262 7017 7254 7878 9393 10881 11817 14034 18786 21051 21762 23634 28179 30407 35451 40703 42102 56358 60814 63153 70902 72509 81406 84537 91221 122109 126306 145018 169074 182442 217527 236239 244218 273663 366327 435054 472478 547326 652581 708717 732654 820989 942617 1098981 1305162 1417434 1641978 1885234 1957743 2126151 2197962 2827851 3071107 3915486 4252302 5655702 6142214 6378453 7323409 8483553 9213321 12756906 14646818 16967106 18426642 21970227 25450659 27639963 43940454 50901318 55279926 65910681 82919889 95204317 131821362 165839778 190408634 197732043 285612951 395464086 571225902 856838853 1713677706 2570516559 5141033118