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14222354120040 = 23351125583421159
BaseRepresentation
bin1100111011110110011001…
…0111010111110101101000
31212100122101022102121002210
43032331212113113311220
53331004340123320130
650125354223325120
72665350123240153
oct316754627276550
955318338377083
1014222354120040
114593737141060
1217184797507a0
137c2215591691
14372519350c9a
15199e51b005b0
hexcef665d7d68

14222354120040 has 128 divisors (see below), whose sum is σ = 46547816140800. Its totient is φ = 3447700465920.

The previous prime is 14222354120017. The next prime is 14222354120041. The reversal of 14222354120040 is 4002145322241.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14222354120041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33558981 + ... + 33980139.

It is an arithmetic number, because the mean of its divisors is an integer number (363654813600).

Almost surely, 214222354120040 is an apocalyptic number.

14222354120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222354120040 is an abundant number, since it is smaller than the sum of its proper divisors (32325462020760).

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

14222354120040 is a wasteful number, since it uses less digits than its factorization.

14222354120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446767 (or 446763 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14222354120040 its reverse (4002145322241), we get a palindrome (18224499442281).

The spelling of 14222354120040 in words is "fourteen trillion, two hundred twenty-two billion, three hundred fifty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 25583 51166 76749 102332 127915 153498 204664 255830 281413 306996 383745 421159 511660 562826 613992 767490 842318 844239 1023320 1125652 1263477 1407065 1534980 1684636 1688478 2105795 2251304 2526954 2814130 3069960 3369272 3376956 4211590 4221195 4632749 5053908 5628260 6317385 6753912 8423180 8442390 9265498 10107816 11256520 12634770 13898247 16846360 16884780 18530996 23163745 25269540 27796494 33769560 37061992 46327490 50539080 55592988 69491235 92654980 111185976 138982470 185309960 277964940 555929880 10774510697 21549021394 32323532091 43098042788 53872553485 64647064182 86196085576 107745106970 118519617667 129294128364 161617660455 215490213940 237039235334 258588256728 323235320910 355558853001 430980427880 474078470668 592598088335 646470641820 711117706002 948156941336 1185196176670 1292941283640 1422235412004 1777794265005 2370392353340 2844470824008 3555588530010 4740784706680 7111177060020 14222354120040