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31316224240 = 2457379147551
BaseRepresentation
bin11101001010100101…
…111010100011110000
32222211111000000121001
4131022211322203300
51003113423133430
622215251211344
72156021341210
oct351245724360
988744000531
1031316224240
1112310212864
12609b8a6b54
132c50c90a02
141731190240
15c344713ca
hex74a97a8f0

31316224240 has 80 divisors (see below), whose sum is σ = 83431802880. Its totient is φ = 10708588800.

The previous prime is 31316224237. The next prime is 31316224279. The reversal of 31316224240 is 4242261313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31316224199 and 31316224208.

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, 138465 + ... + 286015.

It is an arithmetic number, because the mean of its divisors is an integer number (1042897536).

Almost surely, 231316224240 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 31316224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41715901440).

31316224240 is an abundant number, since it is smaller than the sum of its proper divisors (52115578640).

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

31316224240 is a wasteful number, since it uses less digits than its factorization.

31316224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147950 (or 147944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31316224240 its reverse (4242261313), we get a palindrome (35558485553).

The spelling of 31316224240 in words is "thirty-one billion, three hundred sixteen million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1895 2653 3032 3790 5306 6064 7580 10612 13265 15160 21224 26530 30320 42448 53060 106120 147551 212240 295102 590204 737755 1032857 1180408 1475510 2065714 2360816 2951020 4131428 5164285 5902040 8262856 10328570 11804080 16525712 20657140 41314280 55921829 82628560 111843658 223687316 279609145 391452803 447374632 559218290 782905606 894749264 1118436580 1565811212 1957264015 2236873160 3131622424 3914528030 4473746320 6263244848 7829056060 15658112120 31316224240