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148130816775120 = 243251712102190913
BaseRepresentation
bin100001101011100101100100…
…101101101101001111010000
3201102111011112022110122220200
4201223211210231231033100
5123403433403043300440
61243014205140335200
743126045505404254
oct4153454455551720
9642434468418820
10148130816775120
1143220a21341873
12147448b29a4500
1364868a348386a
1428817d96ca264
15121d350d52c30
hex86b964b6d3d0

148130816775120 has 120 divisors (see below), whose sum is σ = 526735757340936. Its totient is φ = 37177930481664.

The previous prime is 148130816775107. The next prime is 148130816775121. The reversal of 148130816775120 is 21577618031841.

It is a happy number.

148130816775120 is a `hidden beast` number, since 1 + 4 + 81 + 30 + 8 + 16 + 7 + 7 + 512 + 0 = 666.

148130816775120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26153282384784 + 121977534390336 = 5114028^2 + 11044344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148130816775121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6051083217 + ... + 6051107696.

Almost surely, 2148130816775120 is an apocalyptic number.

148130816775120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148130816775120 is an abundant number, since it is smaller than the sum of its proper divisors (378604940565816).

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

148130816775120 is a wasteful number, since it uses less digits than its factorization.

148130816775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102190949 (or 12102190940 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 148130816775120 in words is "one hundred forty-eight trillion, one hundred thirty billion, eight hundred sixteen million, seven hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 12102190913 24204381826 36306572739 48408763652 60510954565 72613145478 96817527304 108919718217 121021909130 145226290956 181532863695 193635054608 205737245521 217839436434 242043818260 290452581912 363065727390 411474491042 435678872868 484087636520 544598591085 580905163824 617211736563 726131454780 822948982084 871357745736 968175273040 1028686227605 1089197182170 1234423473126 1452262909560 1645897964168 1742715491472 1851635209689 2057372455210 2178394364340 2468846946252 2904525819120 3086058682815 3291795928336 3703270419378 4114744910420 4356788728680 4937693892504 6172117365630 7406540838756 8229489820840 8713577457360 9258176048445 9875387785008 12344234731260 14813081677512 16458979641680 18516352096890 24688469462520 29626163355024 37032704193780 49376938925040 74065408387560 148130816775120