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14441214232440 = 23325269914862721
BaseRepresentation
bin1101001000100101101101…
…1100011100011101111000
31220010120022001100021000200
43102021123130130131320
53343101101320414230
650414111403202200
73020225515425462
oct322113334343570
956116261307020
1014441214232440
114668536a52906
121752979516360
13809a54080178
1437cd5c195132
151a09b0bcb160
hexd225b71c778

14441214232440 has 96 divisors (see below), whose sum is σ = 46951338798000. Its totient is φ = 3849563381760.

The previous prime is 14441214232439. The next prime is 14441214232441. The reversal of 14441214232440 is 4423241214441.

14441214232440 is a `hidden beast` number, since 1 + 4 + 4 + 41 + 2 + 142 + 32 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (14441214232439) and next prime (14441214232441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14441214232395 and 14441214232404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441214232441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459721 + ... + 8403000.

Almost surely, 214441214232440 is an apocalyptic number.

14441214232440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441214232440 is an abundant number, since it is smaller than the sum of its proper divisors (32510124565560).

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

14441214232440 is a wasteful number, since it uses less digits than its factorization.

14441214232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865437 (or 14865430 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14441214232440 its reverse (4423241214441), we get a palindrome (18864455446881).

The spelling of 14441214232440 in words is "fourteen trillion, four hundred forty-one billion, two hundred fourteen million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2699 5398 8097 10796 13495 16194 21592 24291 26990 32388 40485 48582 53980 64776 80970 97164 107960 121455 161940 194328 242910 323880 485820 971640 14862721 29725442 44588163 59450884 74313605 89176326 118901768 133764489 148627210 178352652 222940815 267528978 297254420 356705304 445881630 535057956 594508840 668822445 891763260 1070115912 1337644890 1783526520 2675289780 5350579560 40114483979 80228967958 120343451937 160457935916 200572419895 240686903874 320915871832 361030355811 401144839790 481373807748 601717259685 722060711622 802289679580 962747615496 1203434519370 1444121423244 1604579359160 1805151779055 2406869038740 2888242846488 3610303558110 4813738077480 7220607116220 14441214232440