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1122472443024 = 2432882892
BaseRepresentation
bin10000010101011000100…
…100100011110010010000
310222022022000221011012100
4100111120210203302100
5121342310421134044
62215353504000400
7144044625225102
oct20253044436220
93868260834170
101122472443024
113a3046482059
12161661900100
1381b0578433a
143c483ca9572
151e2e8802869
hex10558923c90

1122472443024 has 45 divisors (see below), whose sum is σ = 3141399431833. Its totient is φ = 374153243136.

The previous prime is 1122472442957. The next prime is 1122472443067. The reversal of 1122472443024 is 4203442742211.

The square root of 1122472443024 is 1059468.

It is a perfect power (a square), and thus also a powerful number.

1122472443024 is a `hidden beast` number, since 1 + 122 + 4 + 72 + 443 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 973908449424 + 148563993600 = 986868^2 + 385440^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122472443024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12669472 + ... + 12757760.

Almost surely, 21122472443024 is an apocalyptic number.

1122472443024 is the 1059468-th square number.

It is an amenable number.

1122472443024 is an abundant number, since it is smaller than the sum of its proper divisors (2018926988809).

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

1122472443024 is an frugal number, since it uses more digits than its factorization.

1122472443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176592 (or 88294 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Multiplying 1122472443024 by its sum of digits (36), we get a square (40409007948864 = 63568082).

1122472443024 divided by its sum of digits (36) gives a square (31179790084 = 1765782).

The spelling of 1122472443024 in words is "one trillion, one hundred twenty-two billion, four hundred seventy-two million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 88289 176578 264867 353156 529734 706312 794601 1059468 1412624 1589202 2118936 3178404 4237872 6356808 12713616 7794947521 15589895042 23384842563 31179790084 46769685126 62359580168 70154527689 93539370252 124719160336 140309055378 187078740504 280618110756 374157481008 561236221512 1122472443024