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242034603453666 = 233371375031757897
BaseRepresentation
bin110111000010000100010010…
…100011111110110011100010
31011201222021121122220111111000
4313002010102203332303202
5223210443331441004131
62214433054542532430
7101660265050364102
oct6702042243766342
91151867548814430
10242034603453666
11701353319030a1
122318bb16b97116
13a5089c410c07a
1443aa774553202
151cead1ead8ce6
hexdc21128fece2

242034603453666 has 128 divisors (see below), whose sum is σ = 557529866933760. Its totient is φ = 77769769061376.

The previous prime is 242034603453647. The next prime is 242034603453667. The reversal of 242034603453666 is 666354306430242.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242034603453667) 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 63 ways as a sum of consecutive naturals, for example, 136805230 + ... + 138563126.

It is an arithmetic number, because the mean of its divisors is an integer number (4355702085420).

Almost surely, 2242034603453666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242034603453666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278764933466880).

242034603453666 is an abundant number, since it is smaller than the sum of its proper divisors (315495263480094).

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

242034603453666 is a wasteful number, since it uses less digits than its factorization.

242034603453666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758585 (or 1758579 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 54.

The spelling of 242034603453666 in words is "two hundred forty-two trillion, thirty-four billion, six hundred three million, four hundred fifty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 137 222 274 333 411 503 666 822 999 1006 1233 1509 1998 2466 3018 3699 4527 5069 7398 9054 10138 13581 15207 18611 27162 30414 37222 45621 55833 68911 91242 111666 136863 137822 167499 206733 273726 334998 413466 502497 620199 1004994 1240398 1757897 1860597 2549707 3515794 3721194 5099414 5273691 7649121 10547382 15298242 15821073 22947363 31642146 45894726 47463219 65042189 68842089 94926438 130084378 137684178 195126567 240831889 390253134 481663778 585379701 722495667 884222191 1170759402 1444991334 1756139103 1768444382 2167487001 2652666573 3512278206 4334974002 5305333146 6502461003 7957999719 8910779893 13004922006 15915999438 17821559786 23873999157 26732339679 32716221067 47747998314 53464679358 65432442134 80197019037 98148663201 121138440167 160394038074 196297326402 240591057111 242276880334 294445989603 363415320501 481182114222 588891979206 726830641002 883337968809 1090245961503 1766675937618 2180491923006 3270737884509 4482122286179 6541475769018 8964244572358 13446366858537 26892733717074 40339100575611 80678201151222 121017301726833 242034603453666