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414102324232134 = 232238871127674363
BaseRepresentation
bin101111000100111111011010…
…1111011111011111111000110
32000022012210110222021122020200
41132021332311323323333012
5413234123030000412014
64024415552001311330
7153136622426036406
oct13611766573737706
92008183428248220
10414102324232134
1110aa4489a44938a
123a53b97a635546
1314a0a8b268c105
1474389336b2806
1532d1b42322a09
hex1789fb5efbfc6

414102324232134 has 48 divisors (see below), whose sum is σ = 937286845777152. Its totient is φ = 131883771984624.

The previous prime is 414102324232117. The next prime is 414102324232153. The reversal of 414102324232134 is 431232423201414.

414102324232134 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 0 + 2 + 324 + 2 + 321 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563469964 + ... + 564204399.

It is an arithmetic number, because the mean of its divisors is an integer number (19526809287024).

Almost surely, 2414102324232134 is an apocalyptic number.

414102324232134 is an abundant number, since it is smaller than the sum of its proper divisors (523184521545018).

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

414102324232134 is a wasteful number, since it uses less digits than its factorization.

414102324232134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127675281 (or 1127675278 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 414102324232134 its reverse (431232423201414), we get a palindrome (845334747433548).

The spelling of 414102324232134 in words is "four hundred fourteen trillion, one hundred two billion, three hundred twenty-four million, two hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 887 1774 2661 5322 7983 15966 20401 40802 61203 122406 183609 367218 1127674363 2255348726 3383023089 6766046178 10149069267 20298138534 25936510349 51873020698 77809531047 155619062094 233428593141 466857186282 1000247159981 2000494319962 3000741479943 6001482959886 9002224439829 18004448879658 23005684679563 46011369359126 69017054038689 138034108077378 207051162116067 414102324232134