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149407115160 = 23353144818963
BaseRepresentation
bin1000101100100101011…
…0111010011110011000
3112021122102211211202210
42023021112322132120
54421441210141120
6152345304555120
713536306345012
oct2131126723630
9467572754683
10149407115160
11583aa46aa86
1224b58182aa0
13111207a5324
147334b3b1b2
153d46a19ce0
hex22c95ba798

149407115160 has 128 divisors (see below), whose sum is σ = 462834984960. Its totient is φ = 38543769600.

The previous prime is 149407115141. The next prime is 149407115189. The reversal of 149407115160 is 61511704941.

149407115160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16664839 + ... + 16673801.

It is an arithmetic number, because the mean of its divisors is an integer number (3615898320).

Almost surely, 2149407115160 is an apocalyptic number.

149407115160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149407115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231417492480).

149407115160 is an abundant number, since it is smaller than the sum of its proper divisors (313427869800).

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

149407115160 is a wasteful number, since it uses less digits than its factorization.

149407115160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 149407115160 in words is "one hundred forty-nine billion, four hundred seven million, one hundred fifteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4481 8962 8963 13443 17924 17926 22405 26886 26889 35848 35852 44810 44815 53772 53778 67215 71704 89620 89630 107544 107556 134430 134445 138911 179240 179260 215112 268860 268890 277822 277853 358520 416733 537720 537780 555644 555706 694555 833466 833559 1075560 1111288 1111412 1389110 1389265 1666932 1667118 2083665 2222824 2778220 2778530 3333864 3334236 4167330 4167795 5556440 5557060 6668472 8334660 8335590 11114120 16669320 16671180 33342360 40163203 80326406 120489609 160652812 200816015 240979218 321305624 401632030 481958436 602448045 803264060 963916872 1204896090 1245059293 1606528120 2409792180 2490118586 3735177879 4819584360 4980237172 6225296465 7470355758 9960474344 12450592930 14940711516 18675889395 24901185860 29881423032 37351778790 49802371720 74703557580 149407115160