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4140040112 = 24131923371231
BaseRepresentation
bin1111011011000011…
…1111111110110000
3101200112012211100222
43312300333332300
531434322240422
61522451232212
7204410521535
oct36660777660
911615184328
104140040112
111834a4345a
129765a8668
1350c9440a0
142b3ba8d8c
151936d8842
hexf6c3ffb0

4140040112 has 160 divisors (see below), whose sum is σ = 9752709120. Its totient is φ = 1683348480.

The previous prime is 4140040103. The next prime is 4140040133. The reversal of 4140040112 is 2110400414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362537 + ... + 3363767.

It is an arithmetic number, because the mean of its divisors is an integer number (60954432).

Almost surely, 24140040112 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 4140040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876354560).

4140040112 is an abundant number, since it is smaller than the sum of its proper divisors (5612669008).

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

4140040112 is a wasteful number, since it uses less digits than its factorization.

4140040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4140040112 is about 64343.1434731005. The cubic root of 4140040112 is about 1605.7139594591.

Adding to 4140040112 its reverse (2110400414), we get a palindrome (6250440526).

The spelling of 4140040112 in words is "four billion, one hundred forty million, forty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 23 26 37 38 46 52 74 76 92 104 148 152 184 208 247 296 299 304 368 437 481 494 592 598 703 851 874 962 988 1196 1231 1406 1702 1748 1924 1976 2392 2462 2812 3404 3496 3848 3952 4784 4924 5624 5681 6808 6992 7696 9139 9848 11063 11248 11362 13616 16003 16169 18278 19696 22126 22724 23389 28313 32006 32338 36556 44252 45448 45547 46778 56626 64012 64676 73112 88504 90896 91094 93556 113252 128024 129352 146224 177008 182188 187112 210197 226504 256048 258704 304057 364376 368069 374224 420394 453008 537947 592111 608114 728752 736138 840788 865393 1047581 1075894 1184222 1216228 1472276 1681576 1730786 2095162 2151788 2368444 2432456 2944552 3363152 3461572 4190324 4303576 4736888 4864912 5889104 6923144 6993311 8380648 8607152 9473776 11250109 13618553 13846288 13986622 16761296 19904039 22500218 27237106 27973244 39808078 45000436 54474212 55946488 79616156 90000872 108948424 111892976 159232312 180001744 217896848 258752507 318464624 517505014 1035010028 2070020056 4140040112