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422531514144 = 25321467123313
BaseRepresentation
bin1100010011000001101…
…01110011111100100000
31111101121221120212210200
412021200311303330200
523410321031423034
6522035220425200
742345503416425
oct6114065637440
91441557525720
10422531514144
1115321602a473
1269a80b48200
1330ac962a62c
141664477dd4c
15aecea17a99
hex6260d73f20

422531514144 has 36 divisors (see below), whose sum is σ = 1201573994166. Its totient is φ = 140843837952.

The previous prime is 422531514121. The next prime is 422531514157. The reversal of 422531514144 is 441415135224.

422531514144 is a `hidden beast` number, since 4 + 225 + 3 + 15 + 1 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328535312400 + 93996201744 = 573180^2 + 306588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 422531514099 and 422531514108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733561369 + ... + 733561944.

Almost surely, 2422531514144 is an apocalyptic number.

It is an amenable number.

422531514144 is an abundant number, since it is smaller than the sum of its proper divisors (779042480022).

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

422531514144 is a wasteful number, since it uses less digits than its factorization.

422531514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467123329 (or 1467123318 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 422531514144 its reverse (441415135224), we get a palindrome (863946649368).

The spelling of 422531514144 in words is "four hundred twenty-two billion, five hundred thirty-one million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1467123313 2934246626 4401369939 5868493252 8802739878 11736986504 13204109817 17605479756 23473973008 26408219634 35210959512 46947946016 52816439268 70421919024 105632878536 140843838048 211265757072 422531514144