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1444203022332 = 2237231310877219
BaseRepresentation
bin10101000001000001001…
…101010100011111111100
312010001201222202222201010
4111001001031110133330
5142130211433203312
63023242510515220
7206224461100200
oct25010115243774
95101658688633
101444203022332
11507534a57204
121b3a90805b10
13a62596829a5
144dc85098b00
1527878b2193c
hex150413547fc

1444203022332 has 144 divisors (see below), whose sum is σ = 3936666531840. Its totient is φ = 410875815168.

The previous prime is 1444203022291. The next prime is 1444203022343. The reversal of 1444203022332 is 2332203024441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444203022332.

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 47 ways as a sum of consecutive naturals, for example, 200052219 + ... + 200059437.

Almost surely, 21444203022332 is an apocalyptic number.

1444203022332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444203022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968333265920).

1444203022332 is an abundant number, since it is smaller than the sum of its proper divisors (2492463509508).

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

1444203022332 is a wasteful number, since it uses less digits than its factorization.

1444203022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1444203022332 its reverse (2332203024441), we get a palindrome (3776406046773).

The spelling of 1444203022332 in words is "one trillion, four hundred forty-four billion, two hundred three million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 313 588 626 939 1087 1252 1878 2174 2191 3261 3756 4348 4382 6522 6573 7219 7609 8764 13044 13146 14438 15218 15337 21657 22827 26292 28876 30436 30674 43314 45654 46011 50533 53263 61348 86628 91308 92022 101066 106526 151599 159789 184044 202132 213052 303198 319578 340231 353731 606396 639156 680462 707462 1020693 1061193 1360924 1414924 2041386 2122386 2259547 2381617 4082772 4244772 4519094 4763234 6778641 7144851 7847053 9038188 9526468 13557282 14289702 15694106 15816829 16671319 23541159 27114564 28579404 31388212 31633658 33342638 47082318 47450487 50013957 54929371 63267316 66685276 94164636 94900974 100027914 109858742 110717803 164788113 189801948 200055828 219717484 221435606 329576226 332153409 384505597 442871212 659152452 664306818 769011194 1153516791 1328613636 1538022388 2307033582 2456127589 4614067164 4912255178 7368382767 9824510356 14736765534 17192893123 29473531068 34385786246 51578679369 68771572492 103157358738 120350251861 206314717476 240700503722 361050755583 481401007444 722101511166 1444203022332