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42402321134010 = 23252931675995947
BaseRepresentation
bin10011010010000100011110…
…10010011111000110111010
312120010121210122222001112200
421221002033102133012322
521024204423202242020
6230103205111251030
711634316021545255
oct1151021722370672
9176117718861480
1042402321134010
11125687a5943622
124909a2b679a76
131a876a2301936
14a683d74dc09c
154d7ead28b590
hex26908f49f1ba

42402321134010 has 96 divisors (see below), whose sum is σ = 110630055070080. Its totient is φ = 11267904380544.

The previous prime is 42402321134003. The next prime is 42402321134021. The reversal of 42402321134010 is 1043112320424.

42402321134010 is a `hidden beast` number, since 4 + 2 + 40 + 2 + 3 + 211 + 3 + 401 + 0 = 666.

42402321134010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424023211340102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 441886857 + ... + 441982803.

It is an arithmetic number, because the mean of its divisors is an integer number (1152396406980).

Almost surely, 242402321134010 is an apocalyptic number.

42402321134010 is an abundant number, since it is smaller than the sum of its proper divisors (68227733936070).

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

42402321134010 is a wasteful number, since it uses less digits than its factorization.

42402321134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113012 (or 113009 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42402321134010 its reverse (1043112320424), we get a palindrome (43445433454434).

The spelling of 42402321134010 in words is "forty-two trillion, four hundred two billion, three hundred twenty-one million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 16759 26370 33518 50277 83795 95947 100554 150831 167590 191894 251385 287841 301662 479735 502770 575682 754155 863523 959470 1439205 1508310 1727046 2878410 4317615 4910387 8635230 9820774 14731161 24551935 28112471 29462322 44193483 49103870 56224942 73655805 84337413 88386966 140562355 147311610 168674826 220967415 253012239 281124710 421687065 441934830 506024478 843374130 1265061195 1607975773 2530122390 3215951546 4823927319 8039878865 9647854638 14471781957 16079757730 24119636595 28943563914 48239273190 72358909785 144717819570 471136901489 942273802978 1413410704467 2355684507445 2826821408934 4240232113401 4711369014890 7067053522335 8480464226802 14134107044670 21201160567005 42402321134010