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240742520373060 = 223253164342267119
BaseRepresentation
bin110110101111010000111100…
…011010001011111101000100
31011120101202112011122012222200
4312233100330122023331010
5223023311140203414220
62212003330450154500
7101465034036406146
oct6657207432137504
91146352464565880
10240742520373060
116a7873696736a2
122300161ab82a30
13a443bcb289424
144364000606c96
151cc73eac4c890
hexdaf43c68bf44

240742520373060 has 72 divisors (see below), whose sum is σ = 730275406922880. Its totient is φ = 64195975092288.

The previous prime is 240742520373037. The next prime is 240742520373077. The reversal of 240742520373060 is 60373025247042.

240742520373060 is a `hidden beast` number, since 2 + 4 + 0 + 7 + 4 + 2 + 520 + 37 + 30 + 60 = 666.

It is a super-2 number, since 2×2407425203730602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 240742520372997 and 240742520373015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15437820 + ... + 26829299.

It is an arithmetic number, because the mean of its divisors is an integer number (10142713985040).

Almost surely, 2240742520373060 is an apocalyptic number.

240742520373060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240742520373060 is an abundant number, since it is smaller than the sum of its proper divisors (489532886549820).

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

240742520373060 is a wasteful number, since it uses less digits than its factorization.

240742520373060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42298777 (or 42298772 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 240742520373060 in words is "two hundred forty trillion, seven hundred forty-two billion, five hundred twenty million, three hundred seventy-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 31643 63286 94929 126572 158215 189858 284787 316430 379716 474645 569574 632860 949290 1139148 1423935 1898580 2847870 5695740 42267119 84534238 126801357 169068476 211335595 253602714 380404071 422671190 507205428 634006785 760808142 845342380 1268013570 1521616284 1902020355 2536027140 3804040710 7608081420 1337458446517 2674916893034 4012375339551 5349833786068 6687292232585 8024750679102 12037126018653 13374584465170 16049501358204 20061876697755 24074252037306 26749168930340 40123753395510 48148504074612 60185630093265 80247506791020 120371260186530 240742520373060