Search a number
-
+
1307730458112 = 293132192941223
BaseRepresentation
bin10011000001111010110…
…011110011011000000000
311122000110222120102011120
4103001322303303120000
5132411212444124422
62440432454112240
7163323531326211
oct23017263633000
94560428512146
101307730458112
11464672829851
1219154434b680
139641a845100
144741a12b408
152403c92b45c
hex1307acf3600

1307730458112 has 960 divisors, whose sum is σ = 4227029452800. Its totient is φ = 357468733440.

The previous prime is 1307730458081. The next prime is 1307730458129. The reversal of 1307730458112 is 2118540377031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5864262033 + ... + 5864262255.

It is an arithmetic number, because the mean of its divisors is an integer number (4403155680).

Almost surely, 21307730458112 is an apocalyptic number.

1307730458112 is a gapful number since it is divisible by the number (12) 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 1307730458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113514726400).

1307730458112 is an abundant number, since it is smaller than the sum of its proper divisors (2919298994688).

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

1307730458112 is a wasteful number, since it uses less digits than its factorization.

1307730458112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1307730458112 in words is "one trillion, three hundred seven billion, seven hundred thirty million, four hundred fifty-eight thousand, one hundred twelve".