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41301413142 = 23117934922697
BaseRepresentation
bin100110011101110000…
…011000110100010110
310221121100220011201020
4212131300120310112
51134041130210032
630550144342010
72661326135133
oct463560306426
9127540804636
1041301413142
1116574630aa0
128007914906
133b82893802
141ddb37958a
15111ada5b2c
hex99dc18d16

41301413142 has 64 divisors (see below), whose sum is σ = 91518336000. Its totient is φ = 12321204480.

The previous prime is 41301413141. The next prime is 41301413161. The reversal of 41301413142 is 24131410314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41301413141) 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, 1808338 + ... + 1831034.

It is an arithmetic number, because the mean of its divisors is an integer number (1429974000).

Almost surely, 241301413142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41301413142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45759168000).

41301413142 is an abundant number, since it is smaller than the sum of its proper divisors (50216922858).

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

41301413142 is a wasteful number, since it uses less digits than its factorization.

41301413142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23141.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41301413142 its reverse (24131410314), we get a palindrome (65432823456).

The spelling of 41301413142 in words is "forty-one billion, three hundred one million, four hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 349 474 698 869 1047 1738 2094 2607 3839 5214 7678 11517 22697 23034 27571 45394 55142 68091 82713 136182 165426 249667 303281 499334 606562 749001 909843 1498002 1793063 1819686 3586126 5379189 7921253 10758378 15842506 19723693 23763759 39447386 47527518 59171079 87133783 118342158 174267566 261401349 522802698 625778987 1251557974 1877336961 3754673922 6883568857 13767137714 20650706571 41301413142