Search a number
-
+
280130314464 = 253571113172973
BaseRepresentation
bin1000001001110010001…
…00010110000011100000
3222210001202121102100000
410010321010112003200
514042201330030324
6332405020500000
726144614246110
oct4047104260340
9883052542300
10280130314464
11a8891294490
124635b0aa600
132055444c930
14d7b629d040
1574480d49c9
hex41391160e0

280130314464 has 2304 divisors, whose sum is σ = 1231591495680. Its totient is φ = 60197437440.

The previous prime is 280130314441. The next prime is 280130314469. The reversal of 280130314464 is 464413031082.

280130314464 is a `hidden beast` number, since 2 + 80 + 130 + 3 + 1 + 446 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280130314469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3837401532 + ... + 3837401604.

It is an arithmetic number, because the mean of its divisors is an integer number (534544920).

Almost surely, 2280130314464 is an apocalyptic number.

280130314464 is a gapful number since it is divisible by the number (24) 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 280130314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615795747840).

280130314464 is an abundant number, since it is smaller than the sum of its proper divisors (951461181216).

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

280130314464 is a wasteful number, since it uses less digits than its factorization.

280130314464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 280130314464 in words is "two hundred eighty billion, one hundred thirty million, three hundred fourteen thousand, four hundred sixty-four".