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4426311344316 = 22317194127853151
BaseRepresentation
bin100000001101001010010…
…1101110010000010111100
3120200011002020200211221220
41000122110231302002330
51040010041201004231
613225230325353340
7634535056434561
oct100322455620274
916604066624856
104426311344316
1114572083a6424
125b5a22868850
1326152654a964
1411433dac0868
157a212757896
hex40694b720bc

4426311344316 has 96 divisors (see below), whose sum is σ = 11791910430720. Its totient is φ = 1283473152000.

The previous prime is 4426311344269. The next prime is 4426311344327. The reversal of 4426311344316 is 6134431136244.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13767660 + ... + 14085491.

It is an arithmetic number, because the mean of its divisors is an integer number (122832400320).

Almost surely, 24426311344316 is an apocalyptic number.

It is an amenable number.

4426311344316 is an abundant number, since it is smaller than the sum of its proper divisors (7365599086404).

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

4426311344316 is a wasteful number, since it uses less digits than its factorization.

4426311344316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27853235 (or 27853233 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 4426311344316 in words is "four trillion, four hundred twenty-six billion, three hundred eleven million, three hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 779 969 1292 1394 1558 1938 2091 2337 2788 3116 3876 4182 4674 8364 9348 13243 26486 39729 52972 79458 158916 27853151 55706302 83559453 111412604 167118906 334237812 473503567 529209869 947007134 1058419738 1141979191 1420510701 1587629607 1894014268 2116839476 2283958382 2841021402 3175259214 3425937573 4567916764 5682042804 6350518428 6851875146 8996567773 13703750292 17993135546 19413646247 21697604629 26989703319 35986271092 38827292494 43395209258 53979406638 58240938741 65092813887 77654584988 86790418516 107958813276 116481877482 130185627774 232963754964 260371255548 368859278693 737718557386 1106577836079 1475437114772 2213155672158 4426311344316