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6414143382 = 2332912732251
BaseRepresentation
bin1011111100101000…
…00000111110010110
3121120000100020121000
411332110000332112
5101114010042012
62540245204130
7314643214323
oct57624007626
917500306530
106414143382
1127a1686949
1212b0100646
137b2b1cb1a
1444bc15b4a
15278191ddc
hex17e500f96

6414143382 has 64 divisors (see below), whose sum is σ = 14861721600. Its totient is φ = 2048004000.

The previous prime is 6414143363. The next prime is 6414143383. The reversal of 6414143382 is 2833414146.

6414143382 is a `hidden beast` number, since 6 + 4 + 141 + 433 + 82 = 666.

It is a super-2 number, since 2×64141433822 = 82282470649708795848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414143383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182757 + ... + 215007.

It is an arithmetic number, because the mean of its divisors is an integer number (232214400).

Almost surely, 26414143382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414143382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430860800).

6414143382 is an abundant number, since it is smaller than the sum of its proper divisors (8447578218).

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

6414143382 is a wasteful number, since it uses less digits than its factorization.

6414143382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32418 (or 32412 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6414143382 is about 80088.3473546558. The cubic root of 6414143382 is about 1858.0021889626.

The spelling of 6414143382 in words is "six billion, four hundred fourteen million, one hundred forty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 127 174 254 261 381 522 762 783 1143 1566 2286 3429 3683 6858 7366 11049 22098 32251 33147 64502 66294 96753 99441 193506 198882 290259 580518 870777 935279 1741554 1870558 2805837 4095877 5611674 8191754 8417511 12287631 16835022 24575262 25252533 36862893 50505066 73725786 110588679 118780433 221177358 237560866 356341299 712682598 1069023897 2138047794 3207071691 6414143382