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43931256202242 = 234137293223057
BaseRepresentation
bin10011111110100100010101…
…11010111010010000000010
312202112210020210000221220000
421333102022322322100002
521224232203041432432
6233233423540100430
712152633324314323
oct1177221272722002
9182483223027800
1043931256202242
1112aa8160927a42
124b16208994716
131b6891328a496
14abc3d99a244a
15512b45a0457c
hex27f48aeba402

43931256202242 has 120 divisors (see below), whose sum is σ = 99500975517636. Its totient is φ = 14486621174784.

The previous prime is 43931256202241. The next prime is 43931256202277. The reversal of 43931256202242 is 24220265213934.

43931256202242 is a `hidden beast` number, since 4 + 3 + 9 + 3 + 12 + 5 + 620 + 2 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 43520527746081 + 410728456161 = 6597009^2 + 640881^2 .

It is not an unprimeable number, because it can be changed into a prime (43931256202241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1905321178 + ... + 1905344234.

Almost surely, 243931256202242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43931256202242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49750487758818).

43931256202242 is an abundant number, since it is smaller than the sum of its proper divisors (55569719315394).

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

43931256202242 is a wasteful number, since it uses less digits than its factorization.

43931256202242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23794 (or 23492 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 43931256202242 in words is "forty-three trillion, nine hundred thirty-one billion, two hundred fifty-six million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 293 411 586 822 879 1233 1758 2466 2637 3699 5274 7398 7911 11097 15822 22194 23057 23733 40141 46114 47466 69171 80282 85849 120423 138342 171698 207513 240846 257547 361269 415026 515094 622539 722538 772641 1083807 1245078 1545282 1867617 2167614 2317923 3158809 3251421 3735234 4635846 6317618 6502842 6755701 6953769 9476427 11761313 13511402 13907538 18952854 20267103 23522626 28429281 35283939 40534206 56858562 60801309 70567878 85287843 105851817 121602618 170575686 182403927 211703634 255863529 317555451 364807854 511727058 547211781 635110902 925531037 952666353 1094423562 1851062074 1905332706 1979420393 2776593111 3958840786 5553186222 5938261179 8329779333 11876522358 16659558666 17814783537 24989337999 35629567074 49978675998 53444350611 74968013997 106888701222 149936027994 160333051833 271180593841 320666103666 542361187682 813541781523 1627083563046 2440625344569 4881250689138 7321876033707 14643752067414 21965628101121 43931256202242