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2145348144 = 243283179497
BaseRepresentation
bin111111111011111…
…0110101000110000
312112111211222101200
41333313312220300
513343202120034
6552514131200
7104110105212
oct17767665060
95474758350
102145348144
11a00aa18a5
124ba580b00
13282607a94
14164cd25b2
15c8523a99
hex7fdf6a30

2145348144 has 60 divisors (see below), whose sum is σ = 6076366296. Its totient is φ = 706496256.

The previous prime is 2145348143. The next prime is 2145348173. The reversal of 2145348144 is 4418435412.

2145348144 is a `hidden beast` number, since 2 + 1 + 4 + 534 + 81 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2145348099 and 2145348108.

It is not an unprimeable number, because it can be changed into a prime (2145348143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77797 + ... + 101700.

Almost surely, 22145348144 is an apocalyptic number.

2145348144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2145348144 is an abundant number, since it is smaller than the sum of its proper divisors (3931018152).

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

2145348144 is a wasteful number, since it uses less digits than its factorization.

2145348144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179594 (or 179585 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 2145348144 is about 46317.9030613434. The cubic root of 2145348144 is about 1289.7313592392.

The spelling of 2145348144 in words is "two billion, one hundred forty-five million, three hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 179497 358994 538491 717988 1076982 1435976 1615473 2153964 2871952 3230946 4307928 6461892 8615856 12923784 14898251 25847568 29796502 44694753 59593004 89389506 119186008 134084259 178779012 238372016 268168518 357558024 536337036 715116048 1072674072 2145348144