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1428432144 = 243137217219
BaseRepresentation
bin101010100100100…
…0010010100010000
310200112211212112020
41111021002110100
510411134312034
6353424131440
750253321126
oct12511022420
93615755466
101428432144
11673349237
1233a466b80
13199c24c29
14d79d3916
158560e249
hex55242510

1428432144 has 40 divisors (see below), whose sum is σ = 3717068640. Its totient is φ = 472666368.

The previous prime is 1428432121. The next prime is 1428432199. The reversal of 1428432144 is 4412348241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102034 + ... + 115185.

It is an arithmetic number, because the mean of its divisors is an integer number (92926716).

Almost surely, 21428432144 is an apocalyptic number.

It is an amenable number.

1428432144 is an abundant number, since it is smaller than the sum of its proper divisors (2288636496).

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

1428432144 is a wasteful number, since it uses less digits than its factorization.

1428432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217367 (or 217361 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 1428432144 is about 37794.6046943211. The cubic root of 1428432144 is about 1126.2112764982.

The spelling of 1428432144 in words is "one billion, four hundred twenty-eight million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 217219 434438 651657 868876 1303314 1737752 2606628 3475504 5213256 10426512 29759003 59518006 89277009 119036012 178554018 238072024 357108036 476144048 714216072 1428432144