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14022040220432 = 2418138913819013
BaseRepresentation
bin1100110000001100001010…
…1110011111001100010000
31211122111100002111011021222
43030003002232133030100
53314214114244023212
645453345241304212
72645026141213016
oct314030256371420
954574302434258
1014022040220432
1145167941724a2
1216a5694a95068
137a9371218bba
143669556bc8b6
15194b2ad23c72
hexcc0c2b9f310

14022040220432 has 80 divisors (see below), whose sum is σ = 27410899392240. Its totient is φ = 6948554803200.

The previous prime is 14022040220393. The next prime is 14022040220459. The reversal of 14022040220432 is 23402204022041.

It can be written as a sum of positive squares in 8 ways, for example, as 3474510912016 + 10547529308416 = 1864004^2 + 3247696^2 .

It is a super-2 number, since 2×140220402204322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555752758 + ... + 1555761770.

It is an arithmetic number, because the mean of its divisors is an integer number (342636242403).

Almost surely, 214022040220432 is an apocalyptic number.

It is an amenable number.

14022040220432 is a deficient number, since it is larger than the sum of its proper divisors (13388859171808).

14022040220432 is a wasteful number, since it uses less digits than its factorization.

14022040220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14022040220432 its reverse (23402204022041), we get a palindrome (37424244242473).

The spelling of 14022040220432 in words is "fourteen trillion, twenty-two billion, forty million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 181 362 389 724 778 1381 1448 1556 2762 2896 3112 5524 6224 9013 11048 18026 22096 36052 70409 72104 140818 144208 249961 281636 499922 537209 563272 999844 1074418 1126544 1631353 1999688 2148836 3262706 3506057 3999376 4297672 6525412 7012114 8595344 12446953 13050824 14024228 24893906 26101648 28048456 49787812 56096912 97234829 99575624 194469658 199151248 388939316 634596317 777878632 1269192634 1555757264 2252898493 2538385268 4505796986 4841864717 5076770536 9011593972 9683729434 10153541072 18023187944 19367458868 36046375888 38734917736 77469835472 876377513777 1752755027554 3505510055108 7011020110216 14022040220432