Search a number
-
+
1374324505920 = 26325477196009
BaseRepresentation
bin10011111111111100000…
…111111011110101000000
311212101101001000112222200
4103333330013323311000
5140004104033142140
62531204515433200
7201202020361122
oct23777407736500
94771331015880
101374324505920
1148a93639a5a3
121a242a5b5800
139c7a1461622
144a736667212
1525b3900b030
hex13ffc1fbd40

1374324505920 has 84 divisors (see below), whose sum is σ = 4727103675060. Its totient is φ = 366486534144.

The previous prime is 1374324505919. The next prime is 1374324505933. The reversal of 1374324505920 is 295054234731.

It is a happy number.

1374324505920 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 3 + 2 + 4 + 50 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 920770746624 + 453553759296 = 959568^2 + 673464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238595125 + ... + 238600884.

Almost surely, 21374324505920 is an apocalyptic number.

1374324505920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1374324505920 is an abundant number, since it is smaller than the sum of its proper divisors (3352779169140).

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

1374324505920 is a wasteful number, since it uses less digits than its factorization.

1374324505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477196032 (or 477196019 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1374324505920 in words is "one trillion, three hundred seventy-four billion, three hundred twenty-four million, five hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 477196009 954392018 1431588027 1908784036 2385980045 2863176054 3817568072 4294764081 4771960090 5726352108 7157940135 7635136144 8589528162 9543920180 11452704216 14315880270 15270272288 17179056324 19087840360 21473820405 22905408432 28631760540 30540544576 34358112648 38175680720 42947640810 45810816864 57263521080 68716225296 76351361440 85895281620 91621633728 114527042160 137432450592 152702722880 171790563240 229054084320 274864901184 343581126480 458108168640 687162252960 1374324505920