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145714737888 = 2533168651317
BaseRepresentation
bin1000011110110101000…
…1100111001011100000
3111221010002222122101000
42013231101213023200
54341410433103023
6150535044312000
713345642556466
oct2075521471340
9457102878330
10145714737888
1156885197315
12242a76a2600
13109828201c5
1470a45c2836
153bcc7ac243
hex21ed4672e0

145714737888 has 48 divisors (see below), whose sum is σ = 425001321360. Its totient is φ = 48571579008.

The previous prime is 145714737869. The next prime is 145714737893. The reversal of 145714737888 is 888737417541.

145714737888 is a `hidden beast` number, since 1 + 45 + 7 + 147 + 378 + 88 = 666.

145714737888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 84324795 + ... + 84326522.

It is an arithmetic number, because the mean of its divisors is an integer number (8854194195).

Almost surely, 2145714737888 is an apocalyptic number.

145714737888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145714737888 is an abundant number, since it is smaller than the sum of its proper divisors (279286583472).

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

145714737888 is a wasteful number, since it uses less digits than its factorization.

145714737888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168651336 (or 168651322 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 145714737888 in words is "one hundred forty-five billion, seven hundred fourteen million, seven hundred thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 168651317 337302634 505953951 674605268 1011907902 1349210536 1517861853 2023815804 2698421072 3035723706 4047631608 4553585559 5396842144 6071447412 8095263216 9107171118 12142894824 16190526432 18214342236 24285789648 36428684472 48571579296 72857368944 145714737888