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31140124344 = 23327463133447
BaseRepresentation
bin11101000000000110…
…001001011010111000
32222101012122012221200
4131000012021122320
51002233332434334
622150000534200
72151452455350
oct350006113270
988335565850
1031140124344
111222a87435a
126050921360
132c236540a4
141715a2db60
15c23c88799
hex7401896b8

31140124344 has 96 divisors (see below), whose sum is σ = 96595000320. Its totient is φ = 8877895488.

The previous prime is 31140124333. The next prime is 31140124349. The reversal of 31140124344 is 44342104113.

31140124344 is a `hidden beast` number, since 3 + 11 + 401 + 243 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140124349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166629 + ... + 300075.

It is an arithmetic number, because the mean of its divisors is an integer number (1006197920).

Almost surely, 231140124344 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 31140124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297500160).

31140124344 is an abundant number, since it is smaller than the sum of its proper divisors (65454875976).

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

31140124344 is a wasteful number, since it uses less digits than its factorization.

31140124344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133929 (or 133922 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31140124344 its reverse (44342104113), we get a palindrome (75482228457).

The spelling of 31140124344 in words is "thirty-one billion, one hundred forty million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 463 504 926 1389 1852 2778 3241 3704 4167 5556 6482 8334 9723 11112 12964 16668 19446 25928 29169 33336 38892 58338 77784 116676 133447 233352 266894 400341 533788 800682 934129 1067576 1201023 1601364 1868258 2402046 2802387 3202728 3736516 4804092 5604774 7473032 8407161 9608184 11209548 16814322 22419096 33628644 61785961 67257288 123571922 185357883 247143844 370715766 432501727 494287688 556073649 741431532 865003454 1112147298 1297505181 1482863064 1730006908 2224294596 2595010362 3460013816 3892515543 4448589192 5190020724 7785031086 10380041448 15570062172 31140124344