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3446223355421 = 71141101181211283
BaseRepresentation
bin110010001001100010111…
…010110011111000011101
3110012110022020020101122122
4302021202322303320131
5422430331134333141
611155101222352325
7503660425124210
oct62114272637035
913173266211578
103446223355421
111109598272160
12477a9928b6a5
131bcc92660312
14bcb25db7777
155e99e17b64b
hex32262eb3e1d

3446223355421 has 128 divisors (see below), whose sum is σ = 4506571689984. Its totient is φ = 2558304000000.

The previous prime is 3446223355303. The next prime is 3446223355439. The reversal of 3446223355421 is 1245533226443.

3446223355421 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 3446223355421 - 230 = 3445149613597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3446223355441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12177467546 + ... + 12177467828.

It is an arithmetic number, because the mean of its divisors is an integer number (35207591328).

Almost surely, 23446223355421 is an apocalyptic number.

It is an amenable number.

3446223355421 is a deficient number, since it is larger than the sum of its proper divisors (1060348334563).

3446223355421 is a wasteful number, since it uses less digits than its factorization.

3446223355421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835.

The product of its digits is 2073600, while the sum is 44.

The spelling of 3446223355421 in words is "three trillion, four hundred forty-six billion, two hundred twenty-three million, three hundred fifty-five thousand, four hundred twenty-one".

Divisors: 1 7 11 41 77 101 181 211 283 287 451 707 1111 1267 1477 1981 1991 2321 3113 3157 4141 7421 7777 8651 11603 13937 16247 18281 21311 21791 28583 28987 38191 45551 51223 51947 59713 60557 81221 81631 95161 127633 127967 149177 200081 201091 234421 267337 314413 318857 358561 417991 420101 563453 571417 656843 666127 749521 873751 893431 1171903 1407637 1565831 1640947 2100143 2200891 2448233 2940707 3857291 3944171 4597901 5173523 5246647 6031013 6116257 8203321 8244731 9611261 10808053 10960817 12890933 14701001 17137631 17224141 23101573 26930563 27001037 36214661 42217091 42430201 56908753 57713117 66341143 67278827 75656371 90236531 118888583 120568987 158148931 161711011 188513941 212114443 247271533 297011407 398361271 443130173 464388001 832220081 1091613353 1107042517 1484801101 1730900731 1739638241 2333258873 2719986863 3101911211 4874431903 7641293471 12007746883 12177467687 16332812111 19039908041 34121023321 44756147473 84054228181 313293032311 492317622203 3446223355421