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14002441434300 = 223521116069264059
BaseRepresentation
bin1100101111000011001010…
…0011000011010010111100
31211120121202012220200000010
43023300302203003102330
53313404000001344200
645440344403303220
72643433360244604
oct313606243032274
954517665820003
1014002441434300
114509447168390
1216a192537ab10
137a75699b9227
14365a167d5c04
1519438040b150
hexcbc328c34bc

14002441434300 has 144 divisors (see below), whose sum is σ = 44199714787200. Its totient is φ = 3394307155200.

The previous prime is 14002441434283. The next prime is 14002441434347. The reversal of 14002441434300 is 343414420041.

It is a super-2 number, since 2×140024414343002 (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 47 ways as a sum of consecutive naturals, for example, 52895671 + ... + 53159729.

It is an arithmetic number, because the mean of its divisors is an integer number (306942463800).

Almost surely, 214002441434300 is an apocalyptic number.

14002441434300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002441434300 is an abundant number, since it is smaller than the sum of its proper divisors (30197273352900).

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

14002441434300 is a wasteful number, since it uses less digits than its factorization.

14002441434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280156 (or 280149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14002441434300 its reverse (343414420041), we get a palindrome (14345855854341).

The spelling of 14002441434300 in words is "fourteen trillion, two billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 16069 32138 48207 64276 80345 96414 160690 176759 192828 241035 264059 321380 353518 401725 482070 528118 530277 707036 792177 803450 883795 964140 1056236 1060554 1205175 1320295 1584354 1606900 1767590 2121108 2410350 2640590 2651385 2904649 3168708 3535180 3960885 4418975 4820700 5281180 5302770 5809298 6601475 7921770 8713947 8837950 10605540 11618596 13202950 13256925 14523245 15843540 17427894 17675900 19804425 26405900 26513850 29046490 34855788 39608850 43569735 53027700 58092980 72616225 79217700 87139470 145232450 174278940 217848675 290464900 435697350 871394700 4243164071 8486328142 12729492213 16972656284 21215820355 25458984426 42431640710 46674804781 50917968852 63647461065 84863281420 93349609562 106079101775 127294922130 140024414343 186699219124 212158203550 233374023905 254589844260 280048828686 318237305325 424316407100 466748047810 560097657372 636474610650 700122071715 933496095620 1166870119525 1272949221300 1400244143430 2333740239050 2800488286860 3500610358575 4667480478100 7001220717150 14002441434300