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42461057280015 = 32511412092193017
BaseRepresentation
bin10011010011110001111000…
…01111000110100000001111
312120100020102002101102112200
421221320330033012200033
521031140221130430030
6230150201310532543
711641465403546403
oct1151707417064017
9176306362342480
1042461057280015
11125906a6971450
1249192a2207153
131a900a2c6b40a
14a6b1aa19d103
154d9799a8dd60
hex269e3c3c680f

42461057280015 has 48 divisors (see below), whose sum is σ = 82248291923616. Its totient is φ = 20085052953600.

The previous prime is 42461057280013. The next prime is 42461057280071. The reversal of 42461057280015 is 51008275016424.

42461057280015 is a `hidden beast` number, since 4 + 2 + 4 + 61 + 0 + 572 + 8 + 0 + 0 + 15 = 666.

42461057280015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42461057280015 - 21 = 42461057280013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42461057280013) by changing a digit.

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, 1046076214 + ... + 1046116803.

It is an arithmetic number, because the mean of its divisors is an integer number (1713506081742).

Almost surely, 242461057280015 is an apocalyptic number.

42461057280015 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42461057280015 is a deficient number, since it is larger than the sum of its proper divisors (39787234643601).

42461057280015 is a wasteful number, since it uses less digits than its factorization.

42461057280015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092193080 (or 2092193077 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42461057280015 in words is "forty-two trillion, four hundred sixty-one billion, fifty-seven million, two hundred eighty thousand, fifteen".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 6765 20295 2092193017 6276579051 10460965085 18829737153 23014123187 31382895255 69042369561 85779913697 94148685765 115070615935 207127108683 257339741091 345211847805 428899568485 772019223273 943579050667 1035635543415 1286698705455 2830737152001 3860096116365 4717895253335 8492211456003 14153685760005 42461057280015