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144669362889268 = 22721927925881307
BaseRepresentation
bin100000111001001101110101…
…111111000010001000110100
3200222020020220122022011021101
4200321031311333002020310
5122430230323344424033
61231404104322455444
742321005451005200
oct4071156577021064
9628206818264241
10144669362889268
1142106a28912788
1214285a84b04584
1362953545c0979
1427a206aa3db00
1511ad2aea2697d
hex839375fc2234

144669362889268 has 108 divisors (see below), whose sum is σ = 314756044868160. Its totient is φ = 57994416383904.

The previous prime is 144669362889217. The next prime is 144669362889319. The reversal of 144669362889268 is 862988263966441.

It is an interprime number because it is at equal distance from previous prime (144669362889217) and next prime (144669362889319).

It is a junction number, because it is equal to n+sod(n) for n = 144669362889191 and 144669362889200.

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, 7350930 + ... + 18530377.

Almost surely, 2144669362889268 is an apocalyptic number.

It is an amenable number.

144669362889268 is an abundant number, since it is smaller than the sum of its proper divisors (170086681978892).

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

144669362889268 is a wasteful number, since it uses less digits than its factorization.

144669362889268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25881442 (or 25881414 counting only the distinct ones).

The product of its digits is 10319560704, while the sum is 82.

The spelling of 144669362889268 in words is "one hundred forty-four trillion, six hundred sixty-nine billion, three hundred sixty-two million, eight hundred eighty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 133 158 196 266 316 361 532 553 722 931 1106 1444 1501 1862 2212 2527 3002 3724 3871 5054 6004 7742 10108 10507 15484 17689 21014 28519 35378 42028 57038 70756 73549 114076 147098 199633 294196 399266 798532 1397431 2794862 5589724 25881307 51762614 103525228 181169149 362338298 491744833 724676596 983489666 1268184043 1966979332 2044623253 2536368086 3442213831 4089246506 5072736172 6884427662 8178493012 9343151827 13768855324 14312362771 18686303654 24095496817 28624725542 37372607308 38847841807 48190993634 57249451084 65402062789 77695683614 96381987268 100186539397 130804125578 155391367228 200373078794 261608251156 271934892649 400746157588 457814439523 543869785298 738108994333 915628879046 1087739570596 1476217988666 1831257758092 1903544248543 2952435977332 3807088497086 5166762960331 7614176994172 10333525920662 20667051841324 36167340722317 72334681444634 144669362889268