Search a number
-
+
1306655940096 = 29341331372113
BaseRepresentation
bin10011000000111010110…
…000110101111000000000
311121220201002200020120000
4103000322300311320000
5132402012410040341
62440134111320000
7163255103143503
oct23007260657000
94556632606500
101306655940096
11464171239531
121912a4520000
13962a9046b30
144735754313a
1523ec842a8b6
hex1303ac35e00

1306655940096 has 800 divisors, whose sum is σ = 4454793708288. Its totient is φ = 378383892480.

The previous prime is 1306655940089. The next prime is 1306655940131. The reversal of 1306655940096 is 6900495566031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 618387936 + ... + 618390048.

Almost surely, 21306655940096 is an apocalyptic number.

1306655940096 is a gapful number since it is divisible by the number (16) 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 1306655940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227396854144).

1306655940096 is an abundant number, since it is smaller than the sum of its proper divisors (3148137768192).

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

1306655940096 is a wasteful number, since it uses less digits than its factorization.

1306655940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 1306655940096 in words is "one trillion, three hundred six billion, six hundred fifty-five million, nine hundred forty thousand, ninety-six".