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14373766344 = 23371092413257
BaseRepresentation
bin11010110001011111…
…00100010011001000
31101002201202222121110
431120233210103020
5213414141010334
610334143410320
71016123666220
oct153057442310
941081688543
1014373766344
116106686443
1229518b39a0
131480b968b2
149a4dad080
15591d63ae9
hex358be44c8

14373766344 has 128 divisors (see below), whose sum is σ = 41629420800. Its totient is φ = 4050984960.

The previous prime is 14373766313. The next prime is 14373766481. The reversal of 14373766344 is 44366737341.

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

It is a junction number, because it is equal to n+sod(n) for n = 14373766293 and 14373766302.

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, 4411564 + ... + 4414820.

It is an arithmetic number, because the mean of its divisors is an integer number (325229850).

Almost surely, 214373766344 is an apocalyptic number.

14373766344 is a gapful number since it is divisible by the number (14) 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 14373766344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814710400).

14373766344 is an abundant number, since it is smaller than the sum of its proper divisors (27255654456).

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

14373766344 is a wasteful number, since it uses less digits than its factorization.

14373766344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3619 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 48.

The spelling of 14373766344 in words is "fourteen billion, three hundred seventy-three million, seven hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 241 327 436 482 654 723 763 872 964 1308 1446 1526 1687 1928 2289 2616 2892 3052 3257 3374 4578 5061 5784 6104 6514 6748 9156 9771 10122 13028 13496 18312 19542 20244 22799 26056 26269 39084 40488 45598 52538 68397 78168 78807 91196 105076 136794 157614 182392 183883 210152 273588 315228 355013 367766 547176 551649 630456 710026 735532 784937 1065039 1103298 1420052 1471064 1569874 2130078 2206596 2354811 2485091 2840104 3139748 4260156 4413192 4709622 4970182 5494559 6279496 7455273 8520312 9419244 9940364 10989118 14910546 16483677 18838488 19880728 21978236 29821092 32967354 43956472 59642184 65934708 85558133 131869416 171116266 256674399 342232532 513348798 598906931 684465064 1026697596 1197813862 1796720793 2053395192 2395627724 3593441586 4791255448 7186883172 14373766344