Search a number
-
+
31067614392780 = 22357196189717109
BaseRepresentation
bin1110001000001011111100…
…00111101011000111001100
311002000000221110112012221210
413010011332013223013030
513033002433241032110
6150024133124454420
76354363306114630
oct704057607530714
9132000843465853
1031067614392780
119998779436aa9
12359914124a410
131444881835914
14795975654dc0
1538d2174be520
hex1c417e1eb1cc

31067614392780 has 384 divisors, whose sum is σ = 107559615744000. Its totient is φ = 6542778654720.

The previous prime is 31067614392757. The next prime is 31067614392821. The reversal of 31067614392780 is 8729341676013.

It is a super-2 number, since 2×310676143927802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 31067614392780.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42964866 + ... + 43681974.

It is an arithmetic number, because the mean of its divisors is an integer number (280103166000).

Almost surely, 231067614392780 is an apocalyptic number.

31067614392780 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 31067614392780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53779807872000).

31067614392780 is an abundant number, since it is smaller than the sum of its proper divisors (76492001351220).

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

31067614392780 is a wasteful number, since it uses less digits than its factorization.

31067614392780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717297 (or 717295 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 31067614392780 in words is "thirty-one trillion, sixty-seven billion, six hundred fourteen million, three hundred ninety-two thousand, seven hundred eighty".