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142714764400 = 24521327445147
BaseRepresentation
bin1000010011101001110…
…1100111110001110000
3111122101001000012101211
42010322131213301300
54314234434430100
6145321240405504
713211414324215
oct2047235476160
9448331005354
10142714764400
115558584488a
12237aaa76894
13105c5147a70
146c9bdc5b0c
153aa42211ba
hex213a767c70

142714764400 has 60 divisors (see below), whose sum is σ = 369247021192. Its totient is φ = 52694680320.

The previous prime is 142714764383. The next prime is 142714764461. The reversal of 142714764400 is 4467417241.

142714764400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13717374 + ... + 13727773.

Almost surely, 2142714764400 is an apocalyptic number.

142714764400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142714764400 is an abundant number, since it is smaller than the sum of its proper divisors (226532256792).

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

142714764400 is a wasteful number, since it uses less digits than its factorization.

142714764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27445178 (or 27445167 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 142714764400 in words is "one hundred forty-two billion, seven hundred fourteen million, seven hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 27445147 54890294 109780588 137225735 219561176 274451470 356786911 439122352 548902940 686128675 713573822 1097805880 1372257350 1427147644 1783934555 2195611760 2744514700 2854295288 3567869110 5489029400 5708590576 7135738220 8919672775 10978058800 14271476440 17839345550 28542952880 35678691100 71357382200 142714764400