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200144122234340 = 22573193710285053
BaseRepresentation
bin101101100000011110101111…
…010011110100010111100100
3222020122120222000001010202112
4231200132233103310113210
5202213130130242444330
61545400535045100152
760104635633145654
oct5540365723642744
9866576860033675
10200144122234340
1158854711289129
121a5453316b7658
13878a681b9c49b
14375d054904364
15182131bb2d795
hexb607af4f45e4

200144122234340 has 48 divisors (see below), whose sum is σ = 428267793879408. Its totient is φ = 78551844470784.

The previous prime is 200144122234339. The next prime is 200144122234367. The reversal of 200144122234340 is 43432221441002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 54338835334144 + 145805286900196 = 7371488^2 + 12074986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200144122234297 and 200144122234306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354860747 + ... + 355424306.

It is an arithmetic number, because the mean of its divisors is an integer number (8922245705821).

Almost surely, 2200144122234340 is an apocalyptic number.

200144122234340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144122234340 is an abundant number, since it is smaller than the sum of its proper divisors (228123671645068).

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

200144122234340 is a wasteful number, since it uses less digits than its factorization.

200144122234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710285328 (or 710285326 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 200144122234340 its reverse (43432221441002), we get a palindrome (243576343675342).

The spelling of 200144122234340 in words is "two hundred trillion, one hundred forty-four billion, one hundred twenty-two million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 193 292 365 386 730 772 965 1460 1930 3860 14089 28178 56356 70445 140890 281780 710285053 1420570106 2841140212 3551425265 7102850530 14205701060 51850808869 103701617738 137085015229 207403235476 259254044345 274170030458 518508088690 548340060916 685425076145 1037016177380 1370850152290 2741700304580 10007206111717 20014412223434 40028824446868 50036030558585 100072061117170 200144122234340