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414145516230 = 232529158676443
BaseRepresentation
bin1100000011011001111…
…11110001001011000110
31110120222111212001022100
412001230333301023012
523241132223004410
6514131131412530
741630624543055
oct6015477611306
91416874761270
10414145516230
1114a702390086
12683205b4146
13300911392a4
141608ab1839c
15ab8d6c28c0
hex606cff12c6

414145516230 has 48 divisors (see below), whose sum is σ = 1113908636880. Its totient is φ = 106630569024.

The previous prime is 414145516219. The next prime is 414145516231. The reversal of 414145516230 is 32615541414.

414145516230 is a `hidden beast` number, since 4 + 1 + 4 + 14 + 551 + 62 + 30 = 666.

It is a super-2 number, since 2×4141455162302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414145516231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79335612 + ... + 79340831.

It is an arithmetic number, because the mean of its divisors is an integer number (23206429935).

Almost surely, 2414145516230 is an apocalyptic number.

414145516230 is an abundant number, since it is smaller than the sum of its proper divisors (699763120650).

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

414145516230 is a wasteful number, since it uses less digits than its factorization.

414145516230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158676485 (or 158676482 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 414145516230 in words is "four hundred fourteen billion, one hundred forty-five million, five hundred sixteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 158676443 317352886 476029329 793382215 952058658 1428087987 1586764430 2380146645 2856175974 4601616847 4760293290 7140439935 9203233694 13804850541 14280879870 23008084235 27609701082 41414551623 46016168470 69024252705 82829103246 138048505410 207072758115 414145516230