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31114341540 = 22335197292483
BaseRepresentation
bin11100111110100011…
…110010110010100100
32222022102010022121000
4130332203302302210
51002210232412130
622143240153300
72151020353002
oct347643626244
988272108530
1031114341540
1112217264357
126044168830
132c1b1c77a9
14171243ba72
15c21894260
hex73e8f2ca4

31114341540 has 96 divisors (see below), whose sum is σ = 97291877760. Its totient is φ = 8255011968.

The previous prime is 31114341529. The next prime is 31114341569. The reversal of 31114341540 is 4514341113.

31114341540 is a `hidden beast` number, since 3 + 1 + 114 + 3 + 4 + 1 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 39862 + ... + 252621.

It is an arithmetic number, because the mean of its divisors is an integer number (1013457060).

Almost surely, 231114341540 is an apocalyptic number.

31114341540 is a gapful number since it is divisible by the number (30) 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 31114341540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48645938880).

31114341540 is an abundant number, since it is smaller than the sum of its proper divisors (66177536220).

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

31114341540 is a wasteful number, since it uses less digits than its factorization.

31114341540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292698 (or 292690 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31114341540 its reverse (4514341113), we get a palindrome (35628682653).

The spelling of 31114341540 in words is "thirty-one billion, one hundred fourteen million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 21276 26595 35460 53190 106380 292483 584966 877449 1169932 1462415 1754898 2632347 2924830 3509796 4387245 5264694 5849660 7897041 8774490 10529388 13161735 15794082 17548980 26323470 31588164 39485205 52646940 57619151 78970410 115238302 157940820 172857453 230476604 288095755 345714906 518572359 576191510 691429812 864287265 1037144718 1152383020 1555717077 1728574530 2074289436 2592861795 3111434154 3457149060 5185723590 6222868308 7778585385 10371447180 15557170770 31114341540