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14232442303040 = 2651323473145753
BaseRepresentation
bin1100111100011011111110…
…1010101111001001000000
31212101121102101010101120012
43033012333222233021000
53331141020212144130
650134143240204052
72666155121336333
oct317067752571100
955347371111505
1014232442303040
114597a43706285
12171a414169628
137c3162615a30
14372bd50aa61a
1519a3425cb995
hexcf1bfaaf240

14232442303040 has 112 divisors (see below), whose sum is σ = 36499808796528. Its totient is φ = 5254795689984.

The previous prime is 14232442303039. The next prime is 14232442303061. The reversal of 14232442303040 is 4030324423241.

It can be written as a sum of positive squares in 8 ways, for example, as 26417951296 + 14206024351744 = 162536^2 + 3769088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14232442302988 and 14232442303006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97574804 + ... + 97720556.

It is an arithmetic number, because the mean of its divisors is an integer number (325891149969).

Almost surely, 214232442303040 is an apocalyptic number.

14232442303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14232442303040 is an abundant number, since it is smaller than the sum of its proper divisors (22267366493488).

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

14232442303040 is a wasteful number, since it uses less digits than its factorization.

14232442303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169256 (or 169246 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 14232442303040 its reverse (4030324423241), we get a palindrome (18262766726281).

The spelling of 14232442303040 in words is "fourteen trillion, two hundred thirty-two billion, four hundred forty-two million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 23473 46946 93892 117365 145753 187784 234730 291506 305149 375568 469460 583012 610298 728765 751136 938920 1166024 1220596 1457530 1502272 1525745 1877840 1894789 2332048 2441192 2915060 3051490 3755680 3789578 4664096 4882384 5830120 6102980 7511360 7579156 9328192 9473945 9764768 11660240 12205960 15158312 18947890 19529536 23320480 24411920 30316624 37895780 46640960 48823840 60633248 75791560 97647680 121266496 151583120 303166240 606332480 3421260169 6842520338 13685040676 17106300845 27370081352 34212601690 44476382197 54740162704 68425203380 88952764394 109480325408 136850406760 177905528788 218960650816 222381910985 273700813520 355811057576 444763821970 547401627040 711622115152 889527643940 1094803254080 1423244230304 1779055287880 2846488460608 3558110575760 7116221151520 14232442303040