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14224310441040 = 2435713297636749
BaseRepresentation
bin1100111011111101101011…
…1110001001010001010000
31212100211102122121000000010
43032333122332021101100
53331022341433103130
650130320310154520
72665446446552010
oct316773276112120
955324378530003
1014224310441040
114594550464a77
121718924952a40
137c246798477b
143726630b9c40
1519a0187360b0
hexcefdaf89450

14224310441040 has 160 divisors (see below), whose sum is σ = 50398568928000. Its totient is φ = 3251021340672.

The previous prime is 14224310440997. The next prime is 14224310441059. The reversal of 14224310441040 is 4014401342241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14224310440989 and 14224310441007.

It is a congruent number.

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, 22020586 + ... + 22657334.

It is an arithmetic number, because the mean of its divisors is an integer number (314991055800).

Almost surely, 214224310441040 is an apocalyptic number.

14224310441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224310441040 is an abundant number, since it is smaller than the sum of its proper divisors (36174258486960).

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

14224310441040 is a wasteful number, since it uses less digits than its factorization.

14224310441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650069 (or 650063 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14224310441040 its reverse (4014401342241), we get a palindrome (18238711783281).

The spelling of 14224310441040 in words is "fourteen trillion, two hundred twenty-four billion, three hundred ten million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13297 26594 39891 53188 66485 79782 93079 106376 132970 159564 186158 199455 212752 265940 279237 319128 372316 398910 465395 531880 558474 636749 638256 744632 797820 930790 1063760 1116948 1273498 1396185 1489264 1595640 1861580 1910247 2233896 2546996 2792370 3183745 3191280 3723160 3820494 4457243 4467792 5093992 5584740 6367490 7446320 7640988 8914486 9551235 10187984 11169480 12734980 13371729 15281976 17828972 19102470 22286215 22338960 25469960 26743458 30563952 35657944 38204940 44572430 50939920 53486916 66858645 71315888 76409880 89144860 106973832 133717290 152819760 178289720 213947664 267434580 356579440 534869160 1069738320 8466851453 16933702906 25400554359 33867405812 42334257265 50801108718 59267960171 67734811624 84668514530 101602217436 118535920342 127002771795 135469623248 169337029060 177803880513 203204434872 237071840684 254005543590 296339800855 338674058120 355607761026 406408869744 474143681368 508011087180 592679601710 677348116240 711215522052 889019402565 948287362736 1016022174360 1185359203420 1422431044104 1778038805130 2032044348720 2370718406840 2844862088208 3556077610260 4741436813680 7112155220520 14224310441040