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1424286144 = 26322472719
BaseRepresentation
bin101010011100100…
…1110000111000000
310200021001020021200
41110321032013000
510404104124034
6353155221200
750203142511
oct12471160700
93607036250
101424286144
11670a77296
12338ba7800
13199102a88
14d7234a08
1585090a99
hex54e4e1c0

1424286144 has 42 divisors (see below), whose sum is σ = 4082460720. Its totient is φ = 474761856.

The previous prime is 1424286107. The next prime is 1424286161. The reversal of 1424286144 is 4416824241.

1424286144 is a `hidden beast` number, since 14 + 2 + 4 + 28 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1424286099 and 1424286108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1235784 + ... + 1236935.

Almost surely, 21424286144 is an apocalyptic number.

It is an amenable number.

1424286144 is an abundant number, since it is smaller than the sum of its proper divisors (2658174576).

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

1424286144 is a wasteful number, since it uses less digits than its factorization.

1424286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472737 (or 2472724 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1424286144 is about 37739.7157381981. The cubic root of 1424286144 is about 1125.1206175860.

The spelling of 1424286144 in words is "one billion, four hundred twenty-four million, two hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2472719 4945438 7418157 9890876 14836314 19781752 22254471 29672628 39563504 44508942 59345256 79127008 89017884 118690512 158254016 178035768 237381024 356071536 474762048 712143072 1424286144