Search a number
-
+
41142218016 = 2533089138739
BaseRepresentation
bin100110010100010001…
…000110110100100000
310221012021100020001110
4212110101012310200
51133224401434031
630522300303320
72654354040324
oct462421066440
9127167306043
1041142218016
11164a2789379
127b82541b40
133b588c5503
141dc4179984
15110be0bc46
hex994446d20

41142218016 has 48 divisors (see below), whose sum is σ = 108034063200. Its totient is φ = 13709534208.

The previous prime is 41142217979. The next prime is 41142218059. The reversal of 41142218016 is 61081224114.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227175 + ... + 365913.

It is an arithmetic number, because the mean of its divisors is an integer number (2250709650).

Almost surely, 241142218016 is an apocalyptic number.

It is an amenable number.

41142218016 is an abundant number, since it is smaller than the sum of its proper divisors (66891845184).

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

41142218016 is a wasteful number, since it uses less digits than its factorization.

41142218016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141841 (or 141833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 41142218016 in words is "forty-one billion, one hundred forty-two million, two hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3089 6178 9267 12356 18534 24712 37068 49424 74136 98848 138739 148272 277478 296544 416217 554956 832434 1109912 1664868 2219824 3329736 4439648 6659472 13318944 428564771 857129542 1285694313 1714259084 2571388626 3428518168 5142777252 6857036336 10285554504 13714072672 20571109008 41142218016