Search a number
-
+
144484515800436 = 22372712934467943
BaseRepresentation
bin100000110110100001101100…
…001111010110010101110100
3200221120120210022220010011010
4200312201230033112111310
5122414213242021103221
61231143134212112220
742301442664453600
oct4066415417262564
9627516708803133
10144484515800436
11420455a2513a69
1214256098005670
136280aa66c8826
1427971331c8500
1511a8591a1dc76
hex83686c3d6574

144484515800436 has 72 divisors (see below), whose sum is σ = 392227279389120. Its totient is φ = 41275498416768.

The previous prime is 144484515800389. The next prime is 144484515800447. The reversal of 144484515800436 is 634008515484441.

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 23 ways as a sum of consecutive naturals, for example, 13042120 + ... + 21425823.

Almost surely, 2144484515800436 is an apocalyptic number.

It is an amenable number.

144484515800436 is an abundant number, since it is smaller than the sum of its proper divisors (247742763588684).

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

144484515800436 is a wasteful number, since it uses less digits than its factorization.

144484515800436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34475093 (or 34475084 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 144484515800436 in words is "one hundred forty-four trillion, four hundred eighty-four billion, five hundred fifteen million, eight hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 7129 14258 21387 28516 42774 49903 85548 99806 149709 199612 299418 349321 598836 698642 1047963 1397284 2095926 4191852 34467943 68935886 103403829 137871772 206807658 241275601 413615316 482551202 723826803 965102404 1447653606 1688929207 2895307212 3377858414 5066787621 6755716828 10133575242 20267150484 245721965647 491443931294 737165896941 982887862588 1474331793882 1720053759529 2948663587764 3440107519058 5160161278587 6880215038116 10320322557174 12040376316703 20640645114348 24080752633406 36121128950109 48161505266812 72242257900218 144484515800436