Search a number
-
+
103324626944 = 2127211172753
BaseRepresentation
bin110000000111010100…
…0001011000000000000
3100212200212111220000222
41200032220023000000
53143102101030234
6115244445202212
710315323560300
oct1401650130000
9325625456028
10103324626944
113a902070580
1218037260368
139988535216
14500280b600
152a4b05442e
hex180ea0b000

103324626944 has 312 divisors, whose sum is σ = 277734268368. Its totient is φ = 37874565120.

The previous prime is 103324626941. The next prime is 103324626953. The reversal of 103324626944 is 449626423301.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 103324626895 and 103324626904.

It is not an unprimeable number, because it can be changed into a prime (103324626941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37530272 + ... + 37533024.

Almost surely, 2103324626944 is an apocalyptic number.

103324626944 is a gapful number since it is divisible by the number (14) 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 103324626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138867134184).

103324626944 is an abundant number, since it is smaller than the sum of its proper divisors (174409641424).

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

103324626944 is a wasteful number, since it uses less digits than its factorization.

103324626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 103324626944 in words is "one hundred three billion, three hundred twenty-four million, six hundred twenty-six thousand, nine hundred forty-four".