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14243433441440 = 255723515409337
BaseRepresentation
bin1100111101000100111011…
…0010100110100010100000
31212102122210100220001222012
43033101032302212202200
53331331022430111230
650143202030332052
73000024362433530
oct317211662464240
955378710801865
1014243433441440
1145a1673941235
12172058105a028
137c41c4759a18
14373558b114c0
1519a7874ba395
hexcf44eca68a0

14243433441440 has 96 divisors (see below), whose sum is σ = 38473635239424. Its totient is φ = 4881384806400.

The previous prime is 14243433441359. The next prime is 14243433441449. The reversal of 14243433441440 is 4414433434241.

It is not an unprimeable number, because it can be changed into a prime (14243433441449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71549 + ... + 5337788.

It is an arithmetic number, because the mean of its divisors is an integer number (400767033744).

Almost surely, 214243433441440 is an apocalyptic number.

14243433441440 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 14243433441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19236817619712).

14243433441440 is an abundant number, since it is smaller than the sum of its proper divisors (24230201797984).

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

14243433441440 is a wasteful number, since it uses less digits than its factorization.

14243433441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411710 (or 5411702 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 14243433441440 its reverse (4414433434241), we get a palindrome (18657866875681).

The spelling of 14243433441440 in words is "fourteen trillion, two hundred forty-three billion, four hundred thirty-three million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2351 4702 9404 11755 16457 18808 23510 32914 37616 47020 65828 75232 82285 94040 131656 164570 188080 263312 329140 376160 526624 658280 1316560 2633120 5409337 10818674 21637348 27046685 37865359 43274696 54093370 75730718 86549392 108186740 151461436 173098784 189326795 216373480 302922872 378653590 432746960 605845744 757307180 865493920 1211691488 1514614360 3029228720 6058457440 12717351287 25434702574 50869405148 63586756435 89021459009 101738810296 127173512870 178042918018 203477620592 254347025740 356085836036 406955241184 445107295045 508694051480 712171672072 890214590090 1017388102960 1424343344144 1780429180180 2034776205920 2848686688288 3560858360360 7121716720720 14243433441440