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14231201241320 = 23571071228938653
BaseRepresentation
bin1100111100010111010110…
…1100011101100011101000
31212101111012212211220221022
43033011311230131203220
53331131000004210240
650133420144032012
72666112301441520
oct317056554354350
955344185756838
1014231201241320
114597467104238
12171a128602608
137c2cc547569b
14372b1832c680
1519a2bd67e9b5
hexcf175b1d8e8

14231201241320 has 128 divisors (see below), whose sum is σ = 36940483641600. Its totient is φ = 4833149976576.

The previous prime is 14231201241319. The next prime is 14231201241337. The reversal of 14231201241320 is 2314210213241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14231201241320.

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, 368159114 + ... + 368197766.

It is an arithmetic number, because the mean of its divisors is an integer number (288597528450).

Almost surely, 214231201241320 is an apocalyptic number.

14231201241320 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 14231201241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470241820800).

14231201241320 is an abundant number, since it is smaller than the sum of its proper divisors (22709282400280).

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

14231201241320 is a wasteful number, since it uses less digits than its factorization.

14231201241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51067 (or 51063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 14231201241320 its reverse (2314210213241), we get a palindrome (16545411454561).

The spelling of 14231201241320 in words is "fourteen trillion, two hundred thirty-one billion, two hundred one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 12289 14980 24578 29960 38653 49156 61445 77306 86023 98312 122890 154612 172046 193265 245780 270571 309224 344092 386530 430115 491560 541142 688184 773060 860230 1082284 1314923 1352855 1546120 1720460 2164568 2629846 2705710 3440920 4135871 5259692 5411420 6574615 8271742 9204461 10519384 10822840 13149230 16543484 18408922 20679355 26298460 28951097 33086968 36817844 41358710 46022305 52596920 57902194 73635688 82717420 92044610 115804388 144755485 165434840 184089220 231608776 289510970 368178440 475006717 579021940 950013434 1158043880 1900026868 2375033585 3325047019 3800053736 4750067170 6650094038 9500134340 13300188076 16625235095 19000268680 26600376152 33250470190 50825718719 66500940380 101651437438 133001880760 203302874876 254128593595 355780031033 406605749752 508257187190 711560062066 1016514374380 1423120124132 1778900155165 2033028748760 2846240248264 3557800310330 7115600620660 14231201241320