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4085201438032 = 2411137929377137
BaseRepresentation
bin111011011100101000111…
…110110000010101010000
3112110112121201020012112011
4323130220332300111100
51013412443032004112
612404414324312304
7601101046166101
oct73345076602520
915415551205464
104085201438032
111335584790070
1255b8a5842694
1323830472ab20
14101a20c143a8
15713eae20aa7
hex3b728fb0550

4085201438032 has 160 divisors (see below), whose sum is σ = 9448800238080. Its totient is φ = 1686575554560.

The previous prime is 4085201438027. The next prime is 4085201438047. The reversal of 4085201438032 is 2308341025804.

4085201438032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52921768 + ... + 52998904.

It is an arithmetic number, because the mean of its divisors is an integer number (59055001488).

Almost surely, 24085201438032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085201438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724400119040).

4085201438032 is an abundant number, since it is smaller than the sum of its proper divisors (5363598800048).

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

4085201438032 is a wasteful number, since it uses less digits than its factorization.

4085201438032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77541 (or 77535 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 4085201438032 in words is "four trillion, eighty-five billion, two hundred one million, four hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 79 88 104 143 158 176 208 286 293 316 572 586 632 869 1027 1144 1172 1264 1738 2054 2288 2344 3223 3476 3809 4108 4688 6446 6952 7618 8216 11297 12892 13904 15236 16432 22594 23147 25784 30472 41899 45188 46294 51568 60944 77137 83798 90376 92588 154274 167596 180752 185176 254617 300911 308548 335192 370352 509234 601822 617096 670384 848507 1002781 1018468 1203644 1234192 1697014 2005562 2036936 2407288 3310021 3394028 4011124 4073872 4814576 6093823 6620042 6788056 8022248 11030591 12187646 13240084 13576112 16044496 22061182 22601141 24375292 26480168 44122364 45202282 48750584 52960336 67032053 79219699 88244728 90404564 97501168 134064106 158439398 176489456 180809128 248612551 268128212 293814833 316878796 361618256 497225102 536256424 587629666 633757592 871416689 994450204 1072512848 1175259332 1267515184 1742833378 1785490139 1988900408 2350518664 3231963163 3485666756 3570980278 3977800816 4701037328 6463926326 6971333512 7141960556 12927852652 13942667024 14283921112 19640391529 23211371807 25855705304 28567842224 39280783058 46422743614 51711410608 78561566116 92845487228 157123132232 185690974456 255325089877 314246264464 371381948912 510650179754 1021300359508 2042600719016 4085201438032