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242023636605150 = 232523347160690261
BaseRepresentation
bin110111000001111010000100…
…111000110001100011011110
31011201221020022100211212112100
4313001322010320301203132
5223210303401432331100
62214424042421145530
7101656426222613601
oct6701720470614336
91151836270755470
10242023636605150
1170130714358524
122318997625b2a6
13a507967020caa
1443aa013c32338
151cea8cbde7400
hexdc1e84e318de

242023636605150 has 72 divisors (see below), whose sum is σ = 650431115585784. Its totient is φ = 64520353195200.

The previous prime is 242023636605139. The next prime is 242023636605161. The reversal of 242023636605150 is 51506636320242.

242023636605150 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 3 + 6 + 36 + 605 + 1 + 5 + 0 = 666.

242023636605150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242023636605139) and next prime (242023636605161).

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 = 242023636605096 and 242023636605105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78838981 + ... + 81851280.

It is an arithmetic number, because the mean of its divisors is an integer number (9033765494247).

Almost surely, 2242023636605150 is an apocalyptic number.

242023636605150 is an abundant number, since it is smaller than the sum of its proper divisors (408407478980634).

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

242023636605150 is a wasteful number, since it uses less digits than its factorization.

242023636605150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160693626 (or 160693618 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 242023636605150 in words is "two hundred forty-two trillion, twenty-three billion, six hundred thirty-six million, six hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 3347 6694 10041 16735 20082 30123 33470 50205 60246 83675 100410 150615 167350 251025 301230 502050 753075 1506150 160690261 321380522 482070783 803451305 964141566 1446212349 1606902610 2410353915 2892424698 4017256525 4820707830 7231061745 8034513050 12051769575 14462123490 24103539150 36155308725 72310617450 537830303567 1075660607134 1613490910701 2689151517835 3226981821402 4840472732103 5378303035670 8067454553505 9680945464206 13445757589175 16134909107010 24202363660515 26891515178350 40337272767525 48404727321030 80674545535050 121011818302575 242023636605150