Search a number
-
+
14312141102000 = 245371729159123
BaseRepresentation
bin1101000001000100111000…
…0101100001101110110000
31212200020010201110212102002
43100101032011201232300
53333442231110231000
650234523514113132
73005006125056650
oct320211605415660
955606121425362
1014312141102000
114618821598585
12173195711b7a8
137ca82421c181
143769d5c3c360
1519c4594008d5
hexd044e161bb0

14312141102000 has 160 divisors (see below), whose sum is σ = 39553535983104. Its totient is φ = 4906653024000.

The previous prime is 14312141101997. The next prime is 14312141102069. The reversal of 14312141102000 is 20114121341.

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

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, 242044439 + ... + 242103561.

Almost surely, 214312141102000 is an apocalyptic number.

14312141102000 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 14312141102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776767991552).

14312141102000 is an abundant number, since it is smaller than the sum of its proper divisors (25241394881104).

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

14312141102000 is a wasteful number, since it uses less digits than its factorization.

14312141102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76444 (or 76428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14312141102000 its reverse (20114121341), we get a palindrome (14332255223341).

The spelling of 14312141102000 in words is "fourteen trillion, three hundred twelve billion, one hundred forty-one million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 17291 34582 59123 69164 86455 118246 121037 138328 172910 236492 242074 276656 295615 345820 413861 432275 472984 484148 591230 605185 691640 827722 864550 945968 968296 1182460 1210370 1383280 1478075 1655444 1729100 1936592 2069305 2161375 2364920 2420740 2956150 3025925 3310888 3458200 4138610 4322750 4729840 4841480 5912300 6051850 6621776 6916400 7390375 8277220 8645500 9682960 10346525 11824600 12103700 14780750 15129625 16554440 17291000 20693050 23649200 24207400 29561500 30259250 33108880 34582000 41386100 48414800 51732625 59123000 60518500 82772200 103465250 118246000 121037000 165544400 206930500 242074000 413861000 827722000 1022295793 2044591586 4089183172 5111478965 7156070551 8178366344 10222957930 14312141102 16356732688 20445915860 25557394825 28624282204 35780352755 40891831720 51114789650 57248564408 71560705510 81783663440 102229579300 114497128816 127786974125 143121411020 178901763775 204459158600 255573948250 286242822040 357803527550 408918317200 511147896500 572485644080 715607055100 894508818875 1022295793000 1431214110200 1789017637750 2044591586000 2862428220400 3578035275500 7156070551000 14312141102000