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40112017000 = 23531129125743
BaseRepresentation
bin100101010110110111…
…001100111001101000
310211112110211120221021
4211112313030321220
51124122134021000
630232135422224
72620004342656
oct452667147150
9124473746837
1040112017000
1116014208080
127935524974
133a23342a03
141d27409dd6
15109b76211a
hex956dcce68

40112017000 has 128 divisors (see below), whose sum is σ = 105926745600. Its totient is φ = 14083104000.

The previous prime is 40112016949. The next prime is 40112017003. The reversal of 40112017000 is 71021104.

It is not an unprimeable number, because it can be changed into a prime (40112017003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256129 + ... + 381871.

It is an arithmetic number, because the mean of its divisors is an integer number (827552700).

Almost surely, 240112017000 is an apocalyptic number.

40112017000 is a gapful number since it is divisible by the number (40) 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 40112017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52963372800).

40112017000 is an abundant number, since it is smaller than the sum of its proper divisors (65814728600).

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

40112017000 is a wasteful number, since it uses less digits than its factorization.

40112017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125804 (or 125790 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 40112017000 its reverse (71021104), we get a palindrome (40183038104).

The spelling of 40112017000 in words is "forty billion, one hundred twelve million, seventeen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 125743 159500 251486 319000 502972 628715 1005944 1257430 1383173 2514860 2766346 3143575 3646547 5029720 5532692 6287150 6915865 7293094 11065384 12574300 13831730 14586188 15717875 18232735 25148600 27663460 29172376 31435750 34579325 36465470 40112017 55326920 62871500 69158650 72930940 80224034 91163675 125743000 138317300 145861880 160448068 172896625 182327350 200560085 276634600 320896136 345793250 364654700 401120170 455818375 691586500 729309400 802240340 911636750 1002800425 1383173000 1604480680 1823273500 2005600850 3646547000 4011201700 5014002125 8022403400 10028004250 20056008500 40112017000