Search a number
-
+
1374121143360 = 263857219237
BaseRepresentation
bin10011111111110000000…
…000001010110001000000
311212100211212100200000000
4103333300000022301000
5140003200003041420
62531132413000000
7201164001000300
oct23776000126100
94770755320000
101374121143360
1148a841620269
121a2392483000
139c76b29a954
144a71764b600
1525b2623a690
hex13ff000ac40

1374121143360 has 2268 divisors, whose sum is σ = 6188389365132. Its totient is φ = 289512050688.

The previous prime is 1374121143359. The next prime is 1374121143371. The reversal of 1374121143360 is 633411214731.

1374121143360 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 1 + 211 + 433 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 898749504576 + 475371638784 = 948024^2 + 689472^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 37138409262 + ... + 37138409298.

Almost surely, 21374121143360 is an apocalyptic number.

1374121143360 is a gapful number since it is divisible by the number (10) 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 1374121143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094194682566).

1374121143360 is an abundant number, since it is smaller than the sum of its proper divisors (4814268221772).

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

1374121143360 is an frugal number, since it uses more digits than its factorization.

1374121143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1374121143360 in words is "one trillion, three hundred seventy-four billion, one hundred twenty-one million, one hundred forty-three thousand, three hundred sixty".