Search a number
-
+
1361718934464 = 26373172774391
BaseRepresentation
bin10011110100001100110…
…001011111101111000000
311211011211112102011202210
4103310030301133233000
5134302300021400324
62521322014342120
7200244443652000
oct23641461375700
94734745364683
101361718934464
11485557925149
1219bab0aba940
139b542a002c5
1449c9c452000
152564c51bd29
hex13d0cc5fbc0

1361718934464 has 448 divisors, whose sum is σ = 4465841817600. Its totient is φ = 364771491840.

The previous prime is 1361718934463. The next prime is 1361718934469. The reversal of 1361718934464 is 4644398171631.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361718934463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310113709 + ... + 310118099.

Almost surely, 21361718934464 is an apocalyptic number.

1361718934464 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 1361718934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232920908800).

1361718934464 is an abundant number, since it is smaller than the sum of its proper divisors (3104122883136).

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

1361718934464 is a wasteful number, since it uses less digits than its factorization.

1361718934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4697 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 1361718934464 in words is "one trillion, three hundred sixty-one billion, seven hundred eighteen million, nine hundred thirty-four thousand, four hundred sixty-four".