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41142042112 = 291493131723
BaseRepresentation
bin100110010100010000…
…011011111000000000
310221012021000021202111
4212110100123320000
51133224330321422
630522252425104
72654352405433
oct462420337000
9127167007674
1041142042112
11164a26791a6
127b82478194
133b58863422
141dc413181a
15110bdc4a77
hex99441be00

41142042112 has 80 divisors (see below), whose sum is σ = 83068009200. Its totient is φ = 20355858432.

The previous prime is 41142042089. The next prime is 41142042121. The reversal of 41142042112 is 21124024114.

It is a congruent number.

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, 23877283 + ... + 23879005.

It is an arithmetic number, because the mean of its divisors is an integer number (1038350115).

Almost surely, 241142042112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534004600).

41142042112 is an abundant number, since it is smaller than the sum of its proper divisors (41925967088).

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

41142042112 is a wasteful number, since it uses less digits than its factorization.

41142042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 41142042112 its reverse (21124024114), we get a palindrome (62266066226).

The spelling of 41142042112 in words is "forty-one billion, one hundred forty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 313 512 596 626 1192 1252 1723 2384 2504 3446 4768 5008 6892 9536 10016 13784 19072 20032 27568 38144 40064 46637 55136 76288 80128 93274 110272 160256 186548 220544 256727 373096 441088 513454 539299 746192 882176 1026908 1078598 1492384 2053816 2157196 2984768 4107632 4314392 5969536 8215264 8628784 11939072 16430528 17257568 23878144 32861056 34515136 65722112 69030272 80355551 131444224 138060544 160711102 276121088 321422204 642844408 1285688816 2571377632 5142755264 10285510528 20571021056 41142042112