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14383726339140 = 22325474313944789
BaseRepresentation
bin1101000101001111100011…
…1001100010010001000100
31212221001220121201200211100
43101103320321202101010
53341130332420323030
650331443114140100
73013122101412144
oct321237071422104
955831817650740
1014383726339140
114646116598794
1217437b4a21630
138044c1c00b62
1437a2671c4924
1519e248c96360
hexd14f8e62444

14383726339140 has 144 divisors (see below), whose sum is σ = 44662344330240. Its totient is φ = 3745339518720.

The previous prime is 14383726339139. The next prime is 14383726339141. The reversal of 14383726339140 is 4193362738341.

14383726339140 is a `hidden beast` number, since 1 + 43 + 8 + 372 + 63 + 39 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (14383726339139) and next prime (14383726339141).

It is not an unprimeable number, because it can be changed into a prime (14383726339141) by changing a digit.

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, 1673866 + ... + 5618654.

It is an arithmetic number, because the mean of its divisors is an integer number (310155168960).

Almost surely, 214383726339140 is an apocalyptic number.

14383726339140 is a gapful number since it is divisible by the number (10) 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 14383726339140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331172165120).

14383726339140 is an abundant number, since it is smaller than the sum of its proper divisors (30278617991100).

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

14383726339140 is a wasteful number, since it uses less digits than its factorization.

14383726339140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945282 (or 3945277 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 14383726339140 in words is "fourteen trillion, three hundred eighty-three billion, seven hundred twenty-six million, three hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 431 470 564 705 846 862 940 1293 1410 1692 1724 2115 2155 2586 2820 3879 4230 4310 5172 6465 7758 8460 8620 12930 15516 19395 20257 25860 38790 40514 60771 77580 81028 101285 121542 182313 202570 243084 303855 364626 405140 607710 729252 911565 1215420 1823130 3646260 3944789 7889578 11834367 15779156 19723945 23668734 35503101 39447890 47337468 59171835 71006202 78895780 118343670 142012404 177515505 185405083 236687340 355031010 370810166 556215249 710062020 741620332 927025415 1112430498 1668645747 1700204059 1854050830 2224860996 2781076245 3337291494 3400408118 3708101660 5100612177 5562152490 6674582988 6800816236 8343228735 8501020295 10201224354 11124304980 15301836531 16686457470 17002040590 20402448708 25503060885 30603673062 33372914940 34004081180 51006121770 61207346124 76509182655 79909590773 102012243540 153018365310 159819181546 239728772319 306036730620 319638363092 399547953865 479457544638 719186316957 799095907730 958915089276 1198643861595 1438372633914 1598191815460 2397287723190 2876745267828 3595931584785 4794575446380 7191863169570 14383726339140