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242026642502151 = 313311195110227769
BaseRepresentation
bin110111000001111100111000…
…000011010111001000000111
31011201221112001211222021000220
4313001330320003113020013
5223210331030440032101
62214425301000035423
7101656563552406653
oct6701747003271007
91151845054867026
10242026642502151
1170131a17086421
122318a474a62b73
13a5080259bb680
1443aa21b131a63
151ceaa05c53636
hexdc1f380d7207

242026642502151 has 32 divisors (see below), whose sum is σ = 348821614202880. Its totient is φ = 148384458144000.

The previous prime is 242026642502147. The next prime is 242026642502159. The reversal of 242026642502151 is 151205246620242.

It is a happy number.

It is not a de Polignac number, because 242026642502151 - 22 = 242026642502147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242026642502159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18549795 + ... + 28777563.

It is an arithmetic number, because the mean of its divisors is an integer number (10900675443840).

Almost surely, 2242026642502151 is an apocalyptic number.

242026642502151 is a deficient number, since it is larger than the sum of its proper divisors (106794971700729).

242026642502151 is a wasteful number, since it uses less digits than its factorization.

242026642502151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230047.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 242026642502151 in words is "two hundred forty-two trillion, twenty-six billion, six hundred forty-two million, five hundred two thousand, one hundred fifty-one".

Divisors: 1 3 13 39 311 933 1951 4043 5853 12129 25363 76089 606761 1820283 7887893 10227769 23663679 30683307 132960997 398882991 3180836159 9542508477 19954377319 41350870067 59863131957 124052610201 259406905147 778220715441 6205811346209 18617434038627 80675547500717 242026642502151