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41142001134 = 23132394124371
BaseRepresentation
bin100110010100010000…
…010001110111101110
310221012020221012112210
4212110100101313232
51133224323014014
630522251511250
72654352145113
oct462420216756
9127166835483
1041142001134
11164a2650433
127b82458526
133b5884a890
141dc412090a
15110bdb7859
hex994411dee

41142001134 has 64 divisors (see below), whose sum is σ = 92568365568. Its totient is φ = 12095318400.

The previous prime is 41142001129. The next prime is 41142001183. The reversal of 41142001134 is 43110024114.

It is a self number, because there is not a number n which added to its sum of digits gives 41142001134.

It is a congruent number.

It is an unprimeable number.

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, 1675969 + ... + 1700339.

It is an arithmetic number, because the mean of its divisors is an integer number (1446380712).

Almost surely, 241142001134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142001134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46284182784).

41142001134 is an abundant number, since it is smaller than the sum of its proper divisors (51426364434).

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

41142001134 is a wasteful number, since it uses less digits than its factorization.

41142001134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25353.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41142001134 its reverse (43110024114), we get a palindrome (84252025248).

The spelling of 41142001134 in words is "forty-one billion, one hundred forty-two million, one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 941 1794 1882 2823 5646 12233 21643 24371 24466 36699 43286 48742 64929 73113 73398 129858 146226 281359 316823 560533 562718 633646 844077 950469 1121066 1681599 1688154 1900938 3363198 7286929 14573858 21860787 22933111 43721574 45866222 68799333 137598666 298130443 527461553 596260886 894391329 1054923106 1582384659 1788782658 3164769318 6857000189 13714000378 20571000567 41142001134