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3422356661424 = 2431091483441079
BaseRepresentation
bin110001110011010100010…
…110100110010010110000
3110010011200220211201102010
4301303110112212102300
5422032441301131144
611140113044322520
7502154121434031
oct61632426462260
913104626751363
103422356661424
1110aa460129768
124733383a3440
131ba95ab6948c
14bb90035ca88
155e053c1d5b9
hex31cd45a64b0

3422356661424 has 80 divisors (see below), whose sum is σ = 8928235500800. Its totient is φ = 1129554885888.

The previous prime is 3422356661329. The next prime is 3422356661483. The reversal of 3422356661424 is 4241666532243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7538517 + ... + 7979595.

It is an arithmetic number, because the mean of its divisors is an integer number (111602943760).

Almost surely, 23422356661424 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 3422356661424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464117750400).

3422356661424 is an abundant number, since it is smaller than the sum of its proper divisors (5505878839376).

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

3422356661424 is a wasteful number, since it uses less digits than its factorization.

3422356661424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442682 (or 442676 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 3422356661424 in words is "three trillion, four hundred twenty-two billion, three hundred fifty-six million, six hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1483 1744 2616 2966 4449 5232 5932 8898 11864 17796 23728 35592 71184 161647 323294 441079 484941 646588 882158 969882 1293176 1323237 1764316 1939764 2586352 2646474 3528632 3879528 5292948 7057264 7759056 10585896 21171792 48077611 96155222 144232833 192310444 288465666 384620888 576931332 654120157 769241776 1153862664 1308240314 1962360471 2307725328 2616480628 3924720942 5232961256 7849441884 10465922512 15698883768 31397767536 71299097113 142598194226 213897291339 285196388452 427794582678 570392776904 855589165356 1140785553808 1711178330712 3422356661424