Search a number
-
+
42415726428684 = 22347107587297757
BaseRepresentation
bin10011010010011101011100…
…10011101000001000001100
312120011220101220101120210000
421221032232103220020030
521024414401431204214
6230113303221244300
711635302145636110
oct1151165623501014
9176156356346700
1042415726428684
111257345487a954
124910550b63690
131a88a2a649b6b
14a68d09a09740
154d84e509a809
hex2693ae4e820c

42415726428684 has 240 divisors, whose sum is σ = 128126191640832. Its totient is φ = 11985026779008.

The previous prime is 42415726428653. The next prime is 42415726428689. The reversal of 42415726428684 is 48682462751424.

42415726428684 is a `hidden beast` number, since 4 + 2 + 4 + 15 + 7 + 264 + 286 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42415726428689) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142301934 + ... + 142599690.

Almost surely, 242415726428684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42415726428684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64063095820416).

42415726428684 is an abundant number, since it is smaller than the sum of its proper divisors (85710465212148).

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

42415726428684 is a wasteful number, since it uses less digits than its factorization.

42415726428684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298474 (or 298463 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 63.

The spelling of 42415726428684 in words is "forty-two trillion, four hundred fifteen billion, seven hundred twenty-six million, four hundred twenty-eight thousand, six hundred eighty-four".