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144002821428 = 223223295997119
BaseRepresentation
bin1000011000011100111…
…1001010110100110100
3111202200210201021110200
42012013033022310310
54324404210241203
6150053132120500
713255344533424
oct2060717126464
9452623637420
10144002821428
1156086925124
1223aaa306130
131076bc6099b
146d810b8484
153b2c3529a3
hex21873cad34

144002821428 has 72 divisors (see below), whose sum is σ = 392931302400. Its totient is φ = 44330696256.

The previous prime is 144002821387. The next prime is 144002821429. The reversal of 144002821428 is 824128200441.

It is a happy number.

144002821428 is a `hidden beast` number, since 14 + 400 + 2 + 8 + 214 + 28 = 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 = 144002821392 and 144002821401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002821429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2974548 + ... + 3022571.

It is an arithmetic number, because the mean of its divisors is an integer number (5457379200).

Almost surely, 2144002821428 is an apocalyptic number.

144002821428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144002821428 is an abundant number, since it is smaller than the sum of its proper divisors (248928480972).

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

144002821428 is a wasteful number, since it uses less digits than its factorization.

144002821428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997181 (or 5997176 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 144002821428 in words is "one hundred forty-four billion, two million, eight hundred twenty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 6003 8004 12006 24012 5997119 11994238 17991357 23988476 35982714 53974071 71965428 107948142 137933737 173916451 215896284 275867474 347832902 413801211 521749353 551734948 695665804 827602422 1043498706 1241403633 1565248059 1655204844 2086997412 2482807266 3130496118 4000078373 4965614532 6260992236 8000156746 12000235119 16000313492 24000470238 36000705357 48000940476 72001410714 144002821428