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14230131122000 = 245371167600073
BaseRepresentation
bin1100111100010011010111…
…1010010001111101010000
31212101101110022020020012102
43033010311322101331100
53331121302031401000
650133122035415532
72666043625536233
oct317046572217520
955341408206172
1014230131122000
114596a68048802
121719a8a1545a8
137c2b848575a1
14372a5616b41a
1519a25974c3d5
hexcf135e91f50

14230131122000 has 160 divisors (see below), whose sum is σ = 35102082322944. Its totient is φ = 5578269312000.

The previous prime is 14230131121939. The next prime is 14230131122033. The reversal of 14230131122000 is 22113103241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23413964 + ... + 24014036.

Almost surely, 214230131122000 is an apocalyptic number.

14230131122000 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 14230131122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551041161472).

14230131122000 is an abundant number, since it is smaller than the sum of its proper divisors (20871951200944).

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

14230131122000 is a wasteful number, since it uses less digits than its factorization.

14230131122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600334 (or 600318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14230131122000 its reverse (22113103241), we get a palindrome (14252244225241).

The spelling of 14230131122000 in words is "fourteen trillion, two hundred thirty billion, one hundred thirty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 167 200 250 284 334 355 400 500 568 668 710 835 1000 1136 1336 1420 1670 1775 2000 2672 2840 3340 3550 4175 5680 6680 7100 8350 8875 11857 13360 14200 16700 17750 20875 23714 28400 33400 35500 41750 47428 59285 66800 71000 83500 94856 118570 142000 167000 189712 237140 296425 334000 474280 592850 600073 948560 1185700 1200146 1482125 2371400 2400292 2964250 3000365 4742800 4800584 5928500 6000730 9601168 11857000 12001460 15001825 23714000 24002920 30003650 42605183 48005840 60007300 75009125 85210366 100212191 120014600 150018250 170420732 200424382 213025915 240029200 300036500 340841464 400848764 426051830 501060955 600073000 681682928 801697528 852103660 1002121910 1065129575 1200146000 1603395056 1704207320 2004243820 2130259150 2505304775 3408414640 4008487640 4260518300 5010609550 5325647875 7115065561 8016975280 8521036600 10021219100 10651295750 12526523875 14230131122 17042073200 20042438200 21302591500 25053047750 28460262244 35575327805 40084876400 42605183000 50106095500 56920524488 71150655610 85210366000 100212191000 113841048976 142301311220 177876639025 200424382000 284602622440 355753278050 569205244880 711506556100 889383195125 1423013112200 1778766390250 2846026224400 3557532780500 7115065561000 14230131122000