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14401351727370 = 234534950943973
BaseRepresentation
bin1101000110010001001101…
…1101000011100100001010
31212222202101222000012010000
43101210103131003210022
53341422432020233440
650343520055303430
73014314630632516
oct321442335034412
955882358005100
1014401351727370
114652640675843
1217470b367ab76
1380607063b96a
1437b059d79146
1519e92b303730
hexd191374390a

14401351727370 has 80 divisors (see below), whose sum is σ = 38834591380200. Its totient is φ = 3829356487296.

The previous prime is 14401351727369. The next prime is 14401351727381. The reversal of 14401351727370 is 7372715310441.

14401351727370 is a `hidden beast` number, since 1 + 4 + 40 + 1 + 3 + 517 + 27 + 3 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9074547735201 + 5326803992169 = 3012399^2 + 2307987^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25189297 + ... + 25754676.

Almost surely, 214401351727370 is an apocalyptic number.

14401351727370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14401351727370 is an abundant number, since it is smaller than the sum of its proper divisors (24433239652830).

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

14401351727370 is a wasteful number, since it uses less digits than its factorization.

14401351727370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50944341 (or 50944332 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 14401351727370 in words is "fourteen trillion, four hundred one billion, three hundred fifty-one million, seven hundred twenty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 349 405 698 810 1047 1745 2094 3141 3490 5235 6282 9423 10470 15705 18846 28269 31410 47115 56538 94230 141345 282690 50943973 101887946 152831919 254719865 305663838 458495757 509439730 764159595 916991514 1375487271 1528319190 2292478785 2750974542 4126461813 4584957570 6877436355 8252923626 13754872710 17779446577 20632309065 35558893154 41264618130 53338339731 88897232885 106676679462 160015019193 177794465770 266691698655 320030038386 480045057579 533383397310 800075095965 960090115158 1440135172737 1600150191930 2400225287895 2880270345474 4800450575790 7200675863685 14401351727370