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4041204021404 = 221117101163328171
BaseRepresentation
bin111010110011101010100…
…001111011100010011100
3112022100001110022212021222
4322303222201323202130
51012202341212141104
612332300431112512
7564652542261314
oct72635241734234
915270043285258
104041204021404
111318957352820
12553267072738
1323411244c9a4
14dd8497a6444
15701c35241be
hex3acea87b89c

4041204021404 has 96 divisors (see below), whose sum is σ = 8300367758592. Its totient is φ = 1701233280000.

The previous prime is 4041204021343. The next prime is 4041204021469.

4041204021404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40412040214042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12150239 + ... + 12478409.

It is an arithmetic number, because the mean of its divisors is an integer number (86462164152).

Almost surely, 24041204021404 is an apocalyptic number.

4041204021404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4041204021404 is an abundant number, since it is smaller than the sum of its proper divisors (4259163737188).

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

4041204021404 is a wasteful number, since it uses less digits than its factorization.

4041204021404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328467 (or 328465 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The spelling of 4041204021404 in words is "four trillion, forty-one billion, two hundred four million, twenty-one thousand, four hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 101 163 187 202 326 374 404 652 748 1111 1717 1793 2222 2771 3434 3586 4444 5542 6868 7172 11084 16463 18887 30481 32926 37774 60962 65852 75548 121924 181093 279871 328171 362186 559742 656342 724372 1119484 1312684 3078581 3609881 5578907 6157162 7219762 11157814 12314324 14439524 22315628 33145271 53491873 61367977 66290542 106983746 122735954 132581084 213967492 245471908 364597981 563469607 588410603 729195962 909361841 1126939214 1176821206 1458391924 1818723682 2253878428 2353642412 3637447364 5402679173 6198165677 10002980251 10805358346 12396331354 20005960502 21610716692 24792662708 40011921004 59429470903 91845545941 118858941806 183691091882 237717883612 367382183764 1010301005351 2020602010702 4041204021404