Search a number
-
+
14440102331040 = 2532543233205787
BaseRepresentation
bin1101001000100001100100…
…1010111000001010100000
31220010110102120002211001100
43102020121022320022200
53343041312144043130
650413405203234400
73020156124423441
oct322103112701240
956113376084040
1014440102331040
114668016349931
121752709078a00
138099078c3349
1437cc946392c8
151a0948293c60
hexd22192b82a0

14440102331040 has 144 divisors (see below), whose sum is σ = 50422822658208. Its totient is φ = 3761142916608.

The previous prime is 14440102331027. The next prime is 14440102331041. The reversal of 14440102331040 is 4013320104441.

14440102331040 is a `hidden beast` number, since 14 + 4 + 401 + 0 + 233 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14440102330995 and 14440102331013.

It is not an unprimeable number, because it can be changed into a prime (14440102331041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116540974 + ... + 116664813.

It is an arithmetic number, because the mean of its divisors is an integer number (350158490682).

Almost surely, 214440102331040 is an apocalyptic number.

14440102331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440102331040 is an abundant number, since it is smaller than the sum of its proper divisors (35982720327168).

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

14440102331040 is a wasteful number, since it uses less digits than its factorization.

14440102331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233205851 (or 233205840 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14440102331040 its reverse (4013320104441), we get a palindrome (18453422435481).

The spelling of 14440102331040 in words is "fourteen trillion, four hundred forty billion, one hundred two million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 233205787 466411574 699617361 932823148 1166028935 1399234722 1865646296 2098852083 2332057870 2798469444 3498086805 3731292592 4197704166 4664115740 5596938888 6996173610 7462585184 8395408332 9328231480 10027848841 10494260415 11193877776 13992347220 16790816664 18656462960 20055697682 20988520830 22387755552 27984694440 30083546523 33581633328 37312925920 40111395364 41977041660 50139244205 55969388880 60167093046 67163266656 80222790728 83954083320 90250639569 100278488410 111938777760 120334186092 150417732615 160445581456 167908166640 180501279138 200556976820 240668372184 300835465230 320891162912 335816333280 361002558276 401113953640 451253197845 481336744368 601670930460 722005116552 802227907280 902506395690 962673488736 1203341860920 1444010233104 1604455814560 1805012791380 2406683721840 2888020466208 3610025582760 4813367443680 7220051165520 14440102331040