Search a number
-
+
1381781151744 = 2133719735791
BaseRepresentation
bin10100000110111000100…
…100110010000000000000
311220002121201000102002020
4110012320210302000000
5140114341433323434
62534440445321440
7201554552666250
oct24067044620000
94802551012066
101381781151744
11493012489a04
121a396b866280
13a03bc2501a6
144ac42ad1960
1525e23977849
hex141b8932000

1381781151744 has 448 divisors, whose sum is σ = 4494006312960. Its totient is φ = 368828743680.

The previous prime is 1381781151743. The next prime is 1381781151787. The reversal of 1381781151744 is 4471511871831.

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

It is not an unprimeable number, because it can be changed into a prime (1381781151743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238605489 + ... + 238611279.

Almost surely, 21381781151744 is an apocalyptic number.

1381781151744 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 1381781151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247003156480).

1381781151744 is an abundant number, since it is smaller than the sum of its proper divisors (3112225161216).

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

1381781151744 is an equidigital number, since it uses as much as digits as its factorization.

1381781151744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5895 counting only the distinct ones).

The product of its digits is 752640, while the sum is 51.

The spelling of 1381781151744 in words is "one trillion, three hundred eighty-one billion, seven hundred eighty-one million, one hundred fifty-one thousand, seven hundred forty-four".