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310142144 = 2613438669
BaseRepresentation
bin10010011111000…
…110010011000000
3210121120212001002
4102133012103000
51113344022034
650435231132
710454110334
oct2237062300
9717525032
10310142144
1114a081424
1287a484a8
134c33c280
142d2937c4
151c363e7e
hex127c64c0

310142144 has 56 divisors (see below), whose sum is σ = 678271440. Its totient is φ = 139797504.

The previous prime is 310142141. The next prime is 310142201. The reversal of 310142144 is 441241013.

310142144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (310142141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31442 + ... + 40110.

It is an arithmetic number, because the mean of its divisors is an integer number (12111990).

Almost surely, 2310142144 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 310142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339135720).

310142144 is an abundant number, since it is smaller than the sum of its proper divisors (368129296).

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

310142144 is a wasteful number, since it uses less digits than its factorization.

310142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 310142144 is about 17610.8530173868. The cubic root of 310142144 is about 676.8933720171.

Adding to 310142144 its reverse (441241013), we get a palindrome (751383157).

The spelling of 310142144 in words is "three hundred ten million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 2236 2752 4472 8669 8944 17338 17888 34676 35776 69352 112697 138704 225394 277408 372767 450788 554816 745534 901576 1491068 1803152 2982136 3606304 4845971 5964272 7212608 9691942 11928544 19383884 23857088 38767768 77535536 155071072 310142144