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200031432320440 = 23575871112168043
BaseRepresentation
bin101101011110110101110010…
…011101111010010110111000
3222020020211002110002101012201
4231132311302131322112320
5202204303333133223230
61545233101005115544
760063536236530640
oct5536656235722670
9866224073071181
10200031432320440
1158810943810986
121a527521b58bb4
13877cb6330a966
143757804395520
15181d4237e45ca
hexb5ed7277a5b8

200031432320440 has 64 divisors (see below), whose sum is σ = 514375343516160. Its totient is φ = 68581031598720.

The previous prime is 200031432320437. The next prime is 200031432320501. The reversal of 200031432320440 is 44023234130002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 200031432320399 and 200031432320408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10355059 + ... + 22523101.

It is an arithmetic number, because the mean of its divisors is an integer number (8037114742440).

Almost surely, 2200031432320440 is an apocalyptic number.

200031432320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200031432320440 is an abundant number, since it is smaller than the sum of its proper divisors (314343911195720).

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

200031432320440 is a wasteful number, since it uses less digits than its factorization.

200031432320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226772 (or 12226768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 200031432320440 its reverse (44023234130002), we get a palindrome (244054666450442).

The spelling of 200031432320440 in words is "two hundred trillion, thirty-one billion, four hundred thirty-two million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 58711 117422 234844 293555 410977 469688 587110 821954 1174220 1643908 2054885 2348440 3287816 4109770 8219540 12168043 16439080 24336086 48672172 60840215 85176301 97344344 121680430 170352602 243360860 340705204 425881505 486721720 681410408 851763010 1703526020 3407052040 714397972573 1428795945146 2857591890292 3571989862865 5000785808011 5715183780584 7143979725730 10001571616022 14287959451460 20003143232044 25003929040055 28575918902920 40006286464088 50007858080110 100015716160220 200031432320440