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14300031000420 = 223251121433370153
BaseRepresentation
bin1101000000010111110001…
…0001001001111101100100
31212122001212202011222002100
43100011330101021331210
53333242430414003140
650225202112412100
73004100045646234
oct320057421117544
955561782158070
1014300031000420
114613677775a70
12172b537547030
137c9644317ca9
143761a775dcc4
1519be9b182530
hexd017c449f64

14300031000420 has 144 divisors (see below), whose sum is σ = 47342197873152. Its totient is φ = 3465055480320.

The previous prime is 14300031000413. The next prime is 14300031000421. The reversal of 14300031000420 is 2400013000341.

14300031000420 is a `hidden beast` number, since 14 + 300 + 0 + 310 + 0 + 0 + 42 + 0 = 666.

It is a super-2 number, since 2×143000310004202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14300031000393 and 14300031000402.

It is not an unprimeable number, because it can be changed into a prime (14300031000421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2558064 + ... + 5928216.

It is an arithmetic number, because the mean of its divisors is an integer number (328765263008).

Almost surely, 214300031000420 is an apocalyptic number.

14300031000420 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 14300031000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671098936576).

14300031000420 is an abundant number, since it is smaller than the sum of its proper divisors (33042166872732).

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

14300031000420 is a wasteful number, since it uses less digits than its factorization.

14300031000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372322 (or 3372317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14300031000420 its reverse (2400013000341), we get a palindrome (16700044000761).

The spelling of 14300031000420 in words is "fourteen trillion, three hundred billion, thirty-one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2143 4286 6429 8572 10715 12858 19287 21430 23573 25716 32145 38574 42860 47146 64290 70719 77148 94292 96435 117865 128580 141438 192870 212157 235730 282876 353595 385740 424314 471460 707190 848628 1060785 1414380 2121570 3370153 4243140 6740306 10110459 13480612 16850765 20220918 30331377 33701530 37071683 40441836 50552295 60662754 67403060 74143366 101104590 111215049 121325508 148286732 151656885 185358415 202209180 222430098 303313770 333645147 370716830 444860196 556075245 606627540 667290294 741433660 1112150490 1334580588 1668225735 2224300980 3336451470 6672902940 7222237879 14444475758 21666713637 28888951516 36111189395 43333427274 65000140911 72222378790 79444616669 86666854548 108333568185 130000281822 144444757580 158889233338 216667136370 238333850007 260000563644 317778466676 325000704555 397223083345 433334272740 476667700014 650001409110 715001550021 794446166690 953335400028 1191669250035 1300002818220 1430003100042 1588892333380 2383338500070 2860006200084 3575007750105 4766677000140 7150015500210 14300031000420