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414140300330 = 25371139905293
BaseRepresentation
bin1100000011011001010…
…11110111110000101010
31110120222011001001102212
412001230223313300222
523241124404102310
6514130423525122
741630532320261
oct6015453676052
91416864031385
10414140300330
1114a6aa448319
126831a8b97a2
1330090031163
141608a15b5d8
15ab8cee2205
hex606caf7c2a

414140300330 has 32 divisors (see below), whose sum is σ = 772375204944. Its totient is φ = 159752549376.

The previous prime is 414140300291. The next prime is 414140300339. The reversal of 414140300330 is 33003041414.

It can be written as a sum of positive squares in 8 ways, for example, as 72328185721 + 341812114609 = 268939^2 + 584647^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414140300296 and 414140300305.

It is not an unprimeable number, because it can be changed into a prime (414140300339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4910837 + ... + 4994456.

Almost surely, 2414140300330 is an apocalyptic number.

414140300330 is a deficient number, since it is larger than the sum of its proper divisors (358234904614).

414140300330 is a wasteful number, since it uses less digits than its factorization.

414140300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9905450.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 414140300330 its reverse (33003041414), we get a palindrome (447143341744).

The spelling of 414140300330 in words is "four hundred fourteen billion, one hundred forty million, three hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 37 74 113 185 226 370 565 1130 4181 8362 20905 41810 9905293 19810586 49526465 99052930 366495841 732991682 1119298109 1832479205 2238596218 3664958410 5596490545 11192981090 41414030033 82828060066 207070150165 414140300330