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242404662444 = 22374528963719
BaseRepresentation
bin1110000111000001110…
…0011001110010101100
3212011200121010201201220
43201300130121302230
512432421043144234
6303205325103340
723341004430330
oct3416034316254
9764617121656
10242404662444
119389212677a
123ab909b7b50
1319b21630609
14ba37ba37c0
15648b103a49
hex3870719cac

242404662444 has 48 divisors (see below), whose sum is σ = 646436851200. Its totient is φ = 69255858816.

The previous prime is 242404662407. The next prime is 242404662449. The reversal of 242404662444 is 444266404242.

242404662444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 242404662396 and 242404662405.

It is not an unprimeable number, because it can be changed into a prime (242404662449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3772417 + ... + 3836135.

It is an arithmetic number, because the mean of its divisors is an integer number (13467434400).

Almost surely, 2242404662444 is an apocalyptic number.

It is an amenable number.

242404662444 is an abundant number, since it is smaller than the sum of its proper divisors (404032188756).

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

242404662444 is a wasteful number, since it uses less digits than its factorization.

242404662444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109022 (or 109020 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

The spelling of 242404662444 in words is "two hundred forty-two billion, four hundred four million, six hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 45289 63719 90578 127438 135867 181156 191157 254876 271734 317023 382314 446033 543468 634046 764628 892066 951069 1268092 1338099 1784132 1902138 2676198 3804276 5352396 2885769791 5771539582 8657309373 11543079164 17314618746 20200388537 34629237492 40400777074 60601165611 80801554148 121202331222 242404662444