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43431042242340 = 22325809298249157
BaseRepresentation
bin10011110000000000100111…
…10110000101011100100100
312200202222010000012221211200
421320000103312011130210
521143033233303223330
6232211540111002500
712101534466646104
oct1170002366053444
9180688100187750
1043431042242340
1112925002112285
124a55288209430
131b306b6a0831c
14aa21061a5204
15504b1b20aa60
hex278013d85724

43431042242340 has 72 divisors (see below), whose sum is σ = 131903672617080. Its totient is φ = 11567295266304.

The previous prime is 43431042242267. The next prime is 43431042242347. The reversal of 43431042242340 is 4324224013434.

43431042242340 is a `hidden beast` number, since 4 + 3 + 4 + 31 + 0 + 42 + 242 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19593583543296 + 23837458699044 = 4426464^2 + 4882362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43431042242295 and 43431042242304.

It is not an unprimeable number, because it can be changed into a prime (43431042242347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148978959 + ... + 149270198.

It is an arithmetic number, because the mean of its divisors is an integer number (1831995453015).

Almost surely, 243431042242340 is an apocalyptic number.

It is an amenable number.

43431042242340 is an abundant number, since it is smaller than the sum of its proper divisors (88472630374740).

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

43431042242340 is a wasteful number, since it uses less digits than its factorization.

43431042242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298249981 (or 298249976 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 43431042242340 its reverse (4324224013434), we get a palindrome (47755266255774).

The spelling of 43431042242340 in words is "forty-three trillion, four hundred thirty-one billion, forty-two million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 809 1618 2427 3236 4045 4854 7281 8090 9708 12135 14562 16180 24270 29124 36405 48540 72810 145620 298249157 596498314 894747471 1192996628 1491245785 1789494942 2684242413 2982491570 3578989884 4473737355 5368484826 5964983140 8947474710 10736969652 13421212065 17894949420 26842424130 53684848260 241283568013 482567136026 723850704039 965134272052 1206417840065 1447701408078 2171552112117 2412835680130 2895402816156 3619253520195 4343104224234 4825671360260 7238507040390 8686208448468 10857760560585 14477014080780 21715521121170 43431042242340