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242121024660402 = 232137313313685969
BaseRepresentation
bin110111000011010100110001…
…101010101110001110110010
31011202021112200111122200011200
4313003110301222232032302
5223213402324303113102
62214540510241152030
7101666444462462046
oct6703246152561662
91152245614580150
10242121024660402
1170168a4a37a8a8
12231a481532b616
13a513bb76679a4
1443b0a12022026
151ced1cbb9251c
hexdc3531aae3b2

242121024660402 has 48 divisors (see below), whose sum is σ = 530112977629560. Its totient is φ = 79861937965056.

The previous prime is 242121024660391. The next prime is 242121024660407. The reversal of 242121024660402 is 204066420121242.

242121024660402 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 1 + 0 + 2 + 46 + 604 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133020722638521 + 109100302021881 = 11533461^2 + 10445109^2 .

It is not an unprimeable number, because it can be changed into a prime (242121024660407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156071127 + ... + 157614842.

Almost surely, 2242121024660402 is an apocalyptic number.

242121024660402 is an abundant number, since it is smaller than the sum of its proper divisors (287991952969158).

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

242121024660402 is a wasteful number, since it uses less digits than its factorization.

242121024660402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313686427 (or 313686424 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 242121024660402 its reverse (204066420121242), we get a palindrome (446187444781644).

The spelling of 242121024660402 in words is "two hundred forty-two trillion, one hundred twenty-one billion, twenty-four million, six hundred sixty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 137 274 313 411 626 822 939 1233 1878 2466 2817 5634 42881 85762 128643 257286 385929 771858 313685969 627371938 941057907 1882115814 2823173721 5646347442 42974977753 85949955506 98183708297 128924933259 196367416594 257849866518 294551124891 386774799777 589102249782 773549599554 883653374673 1767306749346 13451168036689 26902336073378 40353504110067 80707008220134 121060512330201 242121024660402