Search a number
-
+
230302401101298 = 232374153277574493
BaseRepresentation
bin110100010111010101110100…
…110011101111110111110010
31010012102200202022100102120100
4310113111310303233313302
5220141233304140220143
62133451243521453230
766336541122660621
oct6427256463576762
91105380668312510
10230302401101298
11674217774a5639
12219b61941a1216
139b67566b0ca16
1440c29a4d7b6b8
151b95a622196d3
hexd17574cefdf2

230302401101298 has 192 divisors, whose sum is σ = 536811173694432. Its totient is φ = 71237743349760.

The previous prime is 230302401101237. The next prime is 230302401101309. The reversal of 230302401101298 is 892101104203032.

230302401101298 is a `hidden beast` number, since 2 + 30 + 30 + 2 + 401 + 101 + 2 + 98 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 76991622113169 + 153310778988129 = 8774487^2 + 12381873^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400592140 + ... + 401166632.

Almost surely, 2230302401101298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230302401101298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268405586847216).

230302401101298 is an abundant number, since it is smaller than the sum of its proper divisors (306508772593134).

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

230302401101298 is a wasteful number, since it uses less digits than its factorization.

230302401101298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574909 (or 574906 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 230302401101298 in words is "two hundred thirty trillion, three hundred two billion, four hundred one million, one hundred one thousand, two hundred ninety-eight".