Search a number
-
+
140012124212304 = 24325979223935447
BaseRepresentation
bin11111110101011100011100…
…111011011000110001010000
3200100202000202200002100012100
4133311130130323120301100
5121322424312244243204
61213440403143000400
741330353650266601
oct3765343473306120
9610660680070170
10140012124212304
1140680899011413
1213853355139100
136018118515516
1426808a15ddda8
15112c083ae5a39
hex7f571ced8c50

140012124212304 has 240 divisors, whose sum is σ = 405334856908800. Its totient is φ = 45095741293824.

The previous prime is 140012124212297. The next prime is 140012124212329. The reversal of 140012124212304 is 403212421210041.

140012124212304 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 1 + 2 + 421 + 230 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149206309 + ... + 150141755.

It is an arithmetic number, because the mean of its divisors is an integer number (1688895237120).

Almost surely, 2140012124212304 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 140012124212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202667428454400).

140012124212304 is an abundant number, since it is smaller than the sum of its proper divisors (265322732696496).

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

140012124212304 is a wasteful number, since it uses less digits than its factorization.

140012124212304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935822 (or 935813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140012124212304 its reverse (403212421210041), we get a palindrome (543224545422345).

The spelling of 140012124212304 in words is "one hundred forty trillion, twelve billion, one hundred twenty-four million, two hundred twelve thousand, three hundred four".