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40238400228 = 223131797871831
BaseRepresentation
bin100101011110011001…
…010100001011100100
310211212021122112010120
4211132121110023210
51124402012301403
630252452321540
72623100521125
oct453631241344
9124767575116
1040238400228
1116079589724
12796b9132b0
133a435931a0
141d3a10804c
1510a78c8e53
hex95e6542e4

40238400228 has 96 divisors (see below), whose sum is σ = 101861544960. Its totient is φ = 12289518720.

The previous prime is 40238400217. The next prime is 40238400229. The reversal of 40238400228 is 82200483204.

It is not an unprimeable number, because it can be changed into a prime (40238400229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21975273 + ... + 21977103.

It is an arithmetic number, because the mean of its divisors is an integer number (1061057760).

Almost surely, 240238400228 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 40238400228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50930772480).

40238400228 is an abundant number, since it is smaller than the sum of its proper divisors (61623144732).

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

40238400228 is a wasteful number, since it uses less digits than its factorization.

40238400228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 40238400228 in words is "forty billion, two hundred thirty-eight million, four hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 358 537 716 787 1074 1574 1831 2148 2327 2361 3148 3662 4654 4722 5493 6981 7324 9308 9444 10231 10986 13962 20462 21972 23803 27924 30693 40924 47606 61386 71409 95212 122772 140873 142818 281746 285636 327749 422619 563492 655498 845238 983247 1310996 1440997 1690476 1831349 1966494 2881994 3662698 3932988 4260737 4322991 5494047 5763988 7325396 8521474 8645982 10988094 12782211 17042948 17291964 18732961 21976188 25564422 37465922 51128844 56198883 74931844 112397766 224795532 257938463 515876926 773815389 1031753852 1547630778 3095261556 3353200019 6706400038 10059600057 13412800076 20119200114 40238400228