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14324135021400 = 23352124771191339
BaseRepresentation
bin1101000001110001100011…
…1110101100101101011000
31212201101002121011002202010
43100130120332230231120
53334141312031141100
650244230005305520
73005612263520001
oct320343076545530
955641077132663
1014324135021400
114622916876766
121734143a052a0
137cb9b60350b9
14377412b161a8
1519c90c36e750
hexd0718facb58

14324135021400 has 96 divisors (see below), whose sum is σ = 44405406532800. Its totient is φ = 3819718761600.

The previous prime is 14324135021387. The next prime is 14324135021437. The reversal of 14324135021400 is 412053142341.

14324135021400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143241350214002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74766931 + ... + 74958269.

It is an arithmetic number, because the mean of its divisors is an integer number (462556318050).

Almost surely, 214324135021400 is an apocalyptic number.

14324135021400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14324135021400 is an abundant number, since it is smaller than the sum of its proper divisors (30081271511400).

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

14324135021400 is a wasteful number, since it uses less digits than its factorization.

14324135021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316129 (or 316120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14324135021400 its reverse (412053142341), we get a palindrome (14736188163741).

The spelling of 14324135021400 in words is "fourteen trillion, three hundred twenty-four billion, one hundred thirty-five million, twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 124771 191339 249542 374313 382678 499084 574017 623855 748626 765356 956695 998168 1148034 1247710 1497252 1530712 1871565 1913390 2296068 2495420 2870085 2994504 3119275 3743130 3826780 4592136 4783475 4990840 5740170 6238550 7486260 7653560 9357825 9566950 11480340 12477100 14350425 14972520 18715650 19133900 22960680 24954200 28700850 37431300 38267800 57401700 74862600 114803400 23873558369 47747116738 71620675107 95494233476 119367791845 143241350214 190988466952 238735583690 286482700428 358103375535 477471167380 572965400856 596838959225 716206751070 954942334760 1193677918450 1432413502140 1790516877675 2387355836900 2864827004280 3581033755350 4774711673800 7162067510700 14324135021400