Search a number
-
+
1374924332160 = 273255931113009
BaseRepresentation
bin10100000000011111111…
…000000101110010000000
311212102220211200212220100
4110000133320011302000
5140011321112112120
62531344224042400
7201222622664511
oct24003770056200
94772824625810
101374924332160
11490113a39965
121a2577463400
139c8687c90b2
144a7921a6a08
1525b719e2490
hex1401fe05c80

1374924332160 has 384 divisors, whose sum is σ = 4844153808000. Its totient is φ = 359245578240.

The previous prime is 1374924332153. The next prime is 1374924332161. The reversal of 1374924332160 is 612334294731.

1374924332160 is a `hidden beast` number, since 1 + 3 + 74 + 92 + 4 + 332 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1374924332161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105683736 + ... + 105696744.

It is an arithmetic number, because the mean of its divisors is an integer number (12614983875).

Almost surely, 21374924332160 is an apocalyptic number.

1374924332160 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 1374924332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422076904000).

1374924332160 is an abundant number, since it is smaller than the sum of its proper divisors (3469229475840).

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

1374924332160 is a wasteful number, since it uses less digits than its factorization.

1374924332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1374924332160 in words is "one trillion, three hundred seventy-four billion, nine hundred twenty-four million, three hundred thirty-two thousand, one hundred sixty".