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14118709360 = 245779337947
BaseRepresentation
bin11010010011000101…
…00110100001110000
31100102221211202012111
431021202212201300
5212403342144420
610252552535104
71006606022650
oct151142464160
940387752174
1014118709360
115a95709348
1228a03b1494
1314400a34c2
1497d178360
1557978145a
hex3498a6870

14118709360 has 160 divisors (see below), whose sum is σ = 38143272960. Its totient is φ = 4760211456.

The previous prime is 14118709357. The next prime is 14118709369. The reversal of 14118709360 is 6390781141.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14118709369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14908407 + ... + 14909353.

It is an arithmetic number, because the mean of its divisors is an integer number (238395456).

Almost surely, 214118709360 is an apocalyptic number.

14118709360 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 14118709360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071636480).

14118709360 is an abundant number, since it is smaller than the sum of its proper divisors (24024563600).

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

14118709360 is a wasteful number, since it uses less digits than its factorization.

14118709360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 14118709360 in words is "fourteen billion, one hundred eighteen million, seven hundred nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 337 395 553 560 632 674 790 947 1106 1264 1348 1580 1685 1894 2212 2359 2696 2765 3160 3370 3788 4424 4718 4735 5392 5530 6320 6629 6740 7576 8848 9436 9470 11060 11795 13258 13480 15152 18872 18940 22120 23590 26516 26623 26960 33145 37744 37880 44240 47180 53032 53246 66290 74813 75760 94360 106064 106492 132580 133115 149626 186361 188720 212984 265160 266230 299252 319139 372722 374065 425968 523691 530320 532460 598504 638278 745444 748130 931805 1047382 1064920 1197008 1276556 1490888 1496260 1595695 1863610 2094764 2129840 2233973 2553112 2618455 2981776 2992520 3191390 3727220 4189528 4467946 5106224 5236910 5985040 6382780 7454440 8379056 8935892 10473820 11169865 12765560 14908880 17871784 20947640 22339730 25211981 25531120 35743568 41895280 44679460 50423962 89358920 100847924 126059905 176483867 178717840 201695848 252119810 352967734 403391696 504239620 705935468 882419335 1008479240 1411870936 1764838670 2016958480 2823741872 3529677340 7059354680 14118709360