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242403523340120 = 235371073314624507
BaseRepresentation
bin110111000111011011110111…
…111001101010011101011000
31011210021112212022202111212022
4313013123313321222131120
5223233014403433340440
62215314350304234012
7102026035165600142
oct6707336771523530
91153245768674768
10242403523340120
117026783652a13a
122322b51560b908
13a53472867817c
1443c0570a67c92
151d05712b4ecb5
hexdc76f7e6a758

242403523340120 has 128 divisors (see below), whose sum is σ = 567091947260160. Its totient is φ = 93176766650880.

The previous prime is 242403523340107. The next prime is 242403523340171. The reversal of 242403523340120 is 21043325304242.

It is a super-2 number, since 2×2424035233401202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50104907 + ... + 54729413.

It is an arithmetic number, because the mean of its divisors is an integer number (4430405837970).

Almost surely, 2242403523340120 is an apocalyptic number.

242403523340120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242403523340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283545973630080).

242403523340120 is an abundant number, since it is smaller than the sum of its proper divisors (324688423920040).

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

242403523340120 is a wasteful number, since it uses less digits than its factorization.

242403523340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624993 (or 4624989 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 242403523340120 its reverse (21043325304242), we get a palindrome (263446848644362).

The spelling of 242403523340120 in words is "two hundred forty-two trillion, four hundred three billion, five hundred twenty-three million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 107 148 185 214 296 331 370 428 535 662 740 856 1070 1324 1480 1655 2140 2648 3310 3959 4280 6620 7918 12247 13240 15836 19795 24494 31672 35417 39590 48988 61235 70834 79180 97976 122470 141668 158360 177085 244940 283336 354170 489880 708340 1310429 1416680 2620858 4624507 5241716 6552145 9249014 10483432 13104290 18498028 23122535 26208580 36996056 46245070 52417160 92490140 171106759 184980280 342213518 494822249 684427036 855533795 989644498 1368854072 1530711817 1711067590 1979288996 2474111245 3061423634 3422135180 3958577992 4948222490 6122847268 6844270360 7653559085 9896444980 12245694536 15307118170 18308423213 19792889960 30614236340 36616846426 56636337229 61228472680 73233692852 91542116065 113272674458 146467385704 163786164419 183084232130 226545348916 283181686145 327572328838 366168464260 453090697832 566363372290 655144657676 732336928520 818930822095 1132726744580 1310289315352 1637861644190 2265453489160 3275723288380 6060088083503 6551446576760 12120176167006 24240352334012 30300440417515 48480704668024 60600880835030 121201761670060 242403523340120