Search a number
-
+
42341548506240 = 27351924119732441
BaseRepresentation
bin10011010000010011010001…
…11101010011110010000000
312112220210221022112200202010
421220021220331103302000
521022210442404144430
6230015234443052520
711630035020666414
oct1150115075236200
9175823838480663
1042341548506240
1112544a4a320915
1248ba0aab11140
131a81a38786769
14a654b01a6d44
154d6602cbbcb0
hex268268f53c80

42341548506240 has 512 divisors, whose sum is σ = 142787303366400. Its totient is φ = 10642666291200.

The previous prime is 42341548506217. The next prime is 42341548506253. The reversal of 42341548506240 is 4260584514324.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42341548506240.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17345983420 + ... + 17345985860.

Almost surely, 242341548506240 is an apocalyptic number.

42341548506240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341548506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71393651683200).

42341548506240 is an abundant number, since it is smaller than the sum of its proper divisors (100445754860160).

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

42341548506240 is a wasteful number, since it uses less digits than its factorization.

42341548506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 42341548506240 in words is "forty-two trillion, three hundred forty-one billion, five hundred forty-eight million, five hundred six thousand, two hundred forty".