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144295593904422 = 23219312439039481
BaseRepresentation
bin100000110011110001101111…
…100111100000100100100110
3200220220112011001000102102100
4200303301233213200210212
5122403114334014420142
61230520251500152530
742252004222031052
oct4063615747404446
9626815131012370
10144295593904422
1141a82465a87304
1214225552538746
13626902954c38c
14278bd30508c62
1511a36d5e15b4c
hex833c6f9e0926

144295593904422 has 72 divisors (see below), whose sum is σ = 340053640388280. Its totient is φ = 44097125371200.

The previous prime is 144295593904393. The next prime is 144295593904433. The reversal of 144295593904422 is 224409395592441.

It is a happy number.

144295593904422 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 9 + 559 + 39 + 0 + 4 + 42 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144295593904422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219191079 + ... + 219848402.

It is an arithmetic number, because the mean of its divisors is an integer number (4722967227615).

Almost surely, 2144295593904422 is an apocalyptic number.

144295593904422 is an abundant number, since it is smaller than the sum of its proper divisors (195758046483858).

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

144295593904422 is a wasteful number, since it uses less digits than its factorization.

144295593904422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439039570 (or 439039536 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 144295593904422 in words is "one hundred forty-four trillion, two hundred ninety-five billion, five hundred ninety-three million, nine hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 961 1178 1767 1922 2883 3534 5301 5766 8649 10602 17298 18259 36518 54777 109554 164331 328662 439039481 878078962 1317118443 2634236886 3951355329 7902710658 8341750139 13610223911 16683500278 25025250417 27220447822 40830671733 50050500834 75075751251 81661343466 122492015199 150151502502 244984030398 258594254309 421916941241 517188508618 775782762927 843833882482 1265750823723 1551565525854 2327348288781 2531501647446 3797252471169 4654696577562 7594504942338 8016421883579 16032843767158 24049265650737 48098531301474 72147796952211 144295593904422