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414241242210 = 2355170469647
BaseRepresentation
bin1100000011100101011…
…00111011110001100010
31110121020011222102200000
412001302230323301202
523241331224222320
6514144431240430
741633166314415
oct6016254736142
91417204872600
10414241242210
1114a751422464
1268348679116
13300a7c14593
1416099715b7c
15ab96cd0c90
hex6072b3bc62

414241242210 has 48 divisors (see below), whose sum is σ = 1116917133696. Its totient is φ = 110464330608.

The previous prime is 414241242187. The next prime is 414241242241. The reversal of 414241242210 is 12242142414.

414241242210 is a `hidden beast` number, since 4 + 1 + 424 + 1 + 24 + 2 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85232394 + ... + 85237253.

It is an arithmetic number, because the mean of its divisors is an integer number (23269106952).

Almost surely, 2414241242210 is an apocalyptic number.

414241242210 is an abundant number, since it is smaller than the sum of its proper divisors (702675891486).

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

414241242210 is a wasteful number, since it uses less digits than its factorization.

414241242210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170469669 (or 170469657 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 414241242210 its reverse (12242142414), we get a palindrome (426483384624).

The spelling of 414241242210 in words is "four hundred fourteen billion, two hundred forty-one million, two hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 170469647 340939294 511408941 852348235 1022817882 1534226823 1704696470 2557044705 3068453646 4602680469 5114089410 7671134115 9205360938 13808041407 15342268230 23013402345 27616082814 41424124221 46026804690 69040207035 82848248442 138080414070 207120621105 414241242210