Search a number
-
+
421640659134144 = 263537732747781
BaseRepresentation
bin101111111011110101101110…
…1101101011110011011000000
32001021220110020111100010100000
41133313223131231132123000
5420231130032214243034
64052431013400200000
7154545350411341062
oct13767533555363300
92037813214303300
10421640659134144
11112390887a2841a
123b35894b769000
131513670b23b778
1476197340db732
1533b2c93d7e599
hex17f7addb5e6c0

421640659134144 has 168 divisors, whose sum is σ = 1287191649719248. Its totient is φ = 136748321694720.

The previous prime is 421640659134143. The next prime is 421640659134169. The reversal of 421640659134144 is 441431956046124.

421640659134144 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 4 + 0 + 6 + 591 + 3 + 4 + 1 + 44 = 666.

It is a super-2 number, since 2×4216406591341442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (421640659134143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365798467 + ... + 366949314.

Almost surely, 2421640659134144 is an apocalyptic number.

It is an amenable number.

421640659134144 is an abundant number, since it is smaller than the sum of its proper divisors (865550990585104).

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

421640659134144 is an equidigital number, since it uses as much as digits as its factorization.

421640659134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732747845 (or 732747823 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 421640659134144 in words is "four hundred twenty-one trillion, six hundred forty billion, six hundred fifty-nine million, one hundred thirty-four thousand, one hundred forty-four".