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14401134040420 = 22519299371394683
BaseRepresentation
bin1101000110010000011001…
…1110101001010101100100
31212222201211210101112202101
43101210012132221111210
53341422010303243140
650343442321421444
73014306345421631
oct321440636512544
955881753345671
1014401134040420
114652539802376
12174705279a884
1380603750100a
1437b0390b1188
1519e91715399a
hexd19067a9564

14401134040420 has 96 divisors (see below), whose sum is σ = 32966982518400. Its totient is φ = 5263462923264.

The previous prime is 14401134040393. The next prime is 14401134040457. The reversal of 14401134040420 is 2404043110441.

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, 9628399 + ... + 11023081.

It is an arithmetic number, because the mean of its divisors is an integer number (343406067900).

Almost surely, 214401134040420 is an apocalyptic number.

14401134040420 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 14401134040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483491259200).

14401134040420 is an abundant number, since it is smaller than the sum of its proper divisors (18565848477980).

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

14401134040420 is a wasteful number, since it uses less digits than its factorization.

14401134040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395677 (or 1395675 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14401134040420 its reverse (2404043110441), we get a palindrome (16805177150861).

The spelling of 14401134040420 in words is "fourteen trillion, four hundred one billion, one hundred thirty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 937 1102 1874 2204 2755 3748 4685 5510 9370 11020 17803 18740 27173 35606 54346 71212 89015 108692 135865 178030 271730 356060 516287 543460 1032574 1394683 2065148 2581435 2789366 5162870 5578732 6973415 10325740 13946830 26498977 27893660 40445807 52997954 80891614 105995908 132494885 161783228 202229035 264989770 404458070 529979540 768470333 808916140 1306817971 1536940666 2613635942 3073881332 3842351665 5227271884 6534089855 7684703330 13068179710 15369406660 24829541449 26136359420 37897721159 49659082898 75795442318 99318165796 124147707245 151590884636 189488605795 248295414490 378977211590 496590828980 720056702021 757954423180 1440113404042 2880226808084 3600283510105 7200567020210 14401134040420