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41142065412 = 22372211331609
BaseRepresentation
bin100110010100010000…
…100001100100000100
310221012021001110201110
4212110100201210010
51133224332043122
630522253125020
72654352533400
oct462420414404
9127167043643
1041142065412
11164a2694758
127b82489770
133b58870c06
141dc413a100
15110bdcb90c
hex994421904

41142065412 has 72 divisors (see below), whose sum is σ = 112200906720. Its totient is φ = 11699130240.

The previous prime is 41142065407. The next prime is 41142065491. The reversal of 41142065412 is 21456024114.

It is a self number, because there is not a number n which added to its sum of digits gives 41142065412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41737 + ... + 289872.

Almost surely, 241142065412 is an apocalyptic number.

41142065412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142065412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56100453360).

41142065412 is an abundant number, since it is smaller than the sum of its proper divisors (71058841308).

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

41142065412 is a wasteful number, since it uses less digits than its factorization.

41142065412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331841 (or 331832 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 41142065412 its reverse (21456024114), we get a palindrome (62598089526).

The spelling of 41142065412 in words is "forty-one billion, one hundred forty-two million, sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 211 294 422 588 633 844 1266 1477 2532 2954 4431 5908 8862 10339 17724 20678 31017 41356 62034 124068 331609 663218 994827 1326436 1989654 2321263 3979308 4642526 6963789 9285052 13927578 16248841 27855156 32497682 48746523 64995364 69969499 97493046 139938998 194986092 209908497 279877996 419816994 489786493 839633988 979572986 1469359479 1959145972 2938718958 3428505451 5877437916 6857010902 10285516353 13714021804 20571032706 41142065412