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42354241511300 = 22522295573320521
BaseRepresentation
bin10011010000101010111011…
…00001010001111110000100
312112222000200220200011022122
421220111131201101332010
521022412441311330200
6230025134150145112
711630664405522155
oct1150253541217604
9175860626604278
1042354241511300
111254a373184444
124900651952198
131a82cac37b844
14a65d55c5b92c
154d6ae72cc385
hex26855d851f84

42354241511300 has 72 divisors (see below), whose sum is σ = 92475807185160. Its totient is φ = 16837427174400.

The previous prime is 42354241511297. The next prime is 42354241511327. The reversal of 42354241511300 is 311514245324.

It can be written as a sum of positive squares in 12 ways, for example, as 20181010859584 + 22173230651716 = 4492328^2 + 4708846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11095040 + ... + 14415560.

It is an arithmetic number, because the mean of its divisors is an integer number (1284386210905).

Almost surely, 242354241511300 is an apocalyptic number.

It is an amenable number.

42354241511300 is an abundant number, since it is smaller than the sum of its proper divisors (50121565673860).

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

42354241511300 is a wasteful number, since it uses less digits than its factorization.

42354241511300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321321 (or 3321314 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 42354241511300 its reverse (311514245324), we get a palindrome (42665755756624).

The spelling of 42354241511300 in words is "forty-two trillion, three hundred fifty-four billion, two hundred forty-one million, five hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 557 916 1114 1145 2228 2290 2785 4580 5570 5725 11140 11450 13925 22900 27850 55700 127553 255106 510212 637765 1275530 2551060 3188825 3320521 6377650 6641042 12755300 13282084 16602605 33205210 66410420 83013025 166026050 332052100 760399309 1520798618 1849530197 3041597236 3699060394 3801996545 7398120788 7603993090 9247650985 15207986180 18495301970 19009982725 36990603940 38019965450 46238254925 76039930900 92476509850 184953019700 423542415113 847084830226 1694169660452 2117712075565 4235424151130 8470848302260 10588560377825 21177120755650 42354241511300