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4023104433201 = 3271712742436971
BaseRepresentation
bin111010100010110011101…
…101011110110000110001
3112020121100001202111221100
4322202303231132300301
51011403304213330301
612320104430115013
7563442164310510
oct72426355366061
915217301674840
104023104433201
111311209630267
1254b85564ba69
132324b96c1199
14dca0da54677
156e9b4548286
hex3a8b3b5ec31

4023104433201 has 96 divisors (see below), whose sum is σ = 7090038079488. Its totient is φ = 2145835722240.

The previous prime is 4023104433197. The next prime is 4023104433203. The reversal of 4023104433201 is 1023344013204.

4023104433201 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 10 + 443 + 3 + 201 = 666.

It is not a de Polignac number, because 4023104433201 - 22 = 4023104433197 is a prime.

It is a super-2 number, since 2×40231044332012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4023104433203) 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 95 ways as a sum of consecutive naturals, for example, 577116646 + ... + 577123616.

It is an arithmetic number, because the mean of its divisors is an integer number (73854563328).

Almost surely, 24023104433201 is an apocalyptic number.

It is an amenable number.

4023104433201 is a deficient number, since it is larger than the sum of its proper divisors (3066933646287).

4023104433201 is a wasteful number, since it uses less digits than its factorization.

4023104433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4023104433201 its reverse (1023344013204), we get a palindrome (5046448446405).

The spelling of 4023104433201 in words is "four trillion, twenty-three billion, one hundred four million, four hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 127 153 357 381 889 1071 1143 2159 2667 4243 6477 6971 8001 12729 15113 19431 20913 29701 38187 45339 48797 62739 72131 89103 118507 136017 146391 216393 267309 355521 439173 504917 538861 649179 829549 885317 1066563 1514751 1616583 2488647 2655951 3772027 4544253 4849749 6197219 7465941 7967853 9160637 11316081 15050389 18591657 27481911 29577953 33948243 45151167 55774971 64124459 82445733 88733859 105352723 135453501 192373377 207045671 266201577 316058169 502825201 577120131 621137013 948174507 1508475603 1863411039 3519776407 3756400031 4525426809 10559329221 11269200093 26294800217 31677987663 33807600279 63858800527 78884400651 191576401581 236653201953 447011603689 574729204743 1341034811067 4023104433201