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4404135225321 = 32132391193132019
BaseRepresentation
bin100000000010110101011…
…1010100110011111101001
3120121000211202102021122100
41000011222322212133221
51034124132104202241
613211122022244013
7633121401513456
oct100055272463751
916530752367570
104404135225321
111448868578a57
125b1673b86609
1325c401083460
141132387b682d
157986593a9b6
hex4016aea67e9

4404135225321 has 48 divisors (see below), whose sum is σ = 6885360518400. Its totient is φ = 2696614454016.

The previous prime is 4404135225263. The next prime is 4404135225341. The reversal of 4404135225321 is 1235225314044.

It is a happy number.

4404135225321 is a `hidden beast` number, since 4 + 40 + 41 + 3 + 522 + 53 + 2 + 1 = 666.

4404135225321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4404135225321 - 215 = 4404135192553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4404135225341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33293850 + ... + 33425868.

It is an arithmetic number, because the mean of its divisors is an integer number (143445010800).

Almost surely, 24404135225321 is an apocalyptic number.

It is an amenable number.

4404135225321 is a deficient number, since it is larger than the sum of its proper divisors (2481225293079).

4404135225321 is a wasteful number, since it uses less digits than its factorization.

4404135225321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133470 (or 133467 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4404135225321 in words is "four trillion, four hundred four billion, one hundred thirty-five million, two hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 239 717 1193 2151 3107 3579 9321 10737 15509 27963 46527 132019 139581 285127 396057 855381 1188171 1716247 2566143 3706651 5148741 11119953 15446223 31552541 33359859 94657623 157498667 283972869 410183033 472496001 1230549099 1417488003 2047482671 3691647297 6142448013 18427344039 37642181413 112926544239 338779632717 489348358369 1468045075107 4404135225321