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5141123016 = 2332916345317
BaseRepresentation
bin1001100100110111…
…10100111111001000
3111021021221002221120
410302123310333020
541012111414031
62210052035240
7241254552561
oct46233647710
914237832846
105141123016
1121a90368a7
12bb5902b20
1363c170133
1436ab19168
15201530a96
hex1326f4fc8

5141123016 has 64 divisors (see below), whose sum is σ = 13377873600. Its totient is φ = 1644427008.

The previous prime is 5141122981. The next prime is 5141123023. The reversal of 5141123016 is 6103211415.

It is a happy number.

It is a super-2 number, since 2×51411230162 = 52862291731289872512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 90790 + ... + 136106.

It is an arithmetic number, because the mean of its divisors is an integer number (209029275).

Almost surely, 25141123016 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 5141123016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688936800).

5141123016 is an abundant number, since it is smaller than the sum of its proper divisors (8236750584).

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

5141123016 is a wasteful number, since it uses less digits than its factorization.

5141123016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45518 (or 45514 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5141123016 is about 71701.6249188259. The cubic root of 5141123016 is about 1725.9147165474.

The spelling of 5141123016 in words is "five billion, one hundred forty-one million, one hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 9454 14181 18908 28362 37816 45317 56724 90634 113448 135951 181268 271902 362536 543804 1087608 1314193 2628386 3942579 5256772 7386671 7885158 10513544 14773342 15770316 22160013 29546684 31540632 44320026 59093368 88640052 177280104 214213459 428426918 642640377 856853836 1285280754 1713707672 2570561508 5141123016