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31142125168 = 24711127199037
BaseRepresentation
bin11101000000001101…
…110001111001110000
32222101100101212120021
4131000031301321300
51002234341001133
622150111453224
72151505460560
oct350015617160
988340355507
1031142125168
1112230a10630
126051527214
132c23ba49cb
141715dd0da0
15c2403152d
hex740371e70

31142125168 has 80 divisors (see below), whose sum is σ = 75819147264. Its totient is φ = 12037697280.

The previous prime is 31142125117. The next prime is 31142125171. The reversal of 31142125168 is 86152124113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56946 + ... + 255982.

Almost surely, 231142125168 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 31142125168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37909573632).

31142125168 is an abundant number, since it is smaller than the sum of its proper divisors (44677022096).

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

31142125168 is a wasteful number, since it uses less digits than its factorization.

31142125168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199190 (or 199184 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The spelling of 31142125168 in words is "thirty-one billion, one hundred forty-two million, one hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 127 154 176 254 308 508 616 889 1016 1232 1397 1778 2032 2794 3556 5588 7112 9779 11176 14224 19558 22352 39116 78232 156464 199037 398074 796148 1393259 1592296 2189407 2786518 3184592 4378814 5573036 8757628 11146072 15325849 17515256 22292144 25277699 30651698 35030512 50555398 61303396 101110796 122606792 176943893 202221592 245213584 278054689 353887786 404443184 556109378 707775572 1112218756 1415551144 1946382823 2224437512 2831102288 3892765646 4448875024 7785531292 15571062584 31142125168