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1431341401221 = 3217191496315237
BaseRepresentation
bin10100110101000010100…
…110001000010010000101
312001211112122100221101200
4110311002212020102011
5141422341344314341
63013314341413113
7205260655111434
oct24650246102205
95054478327350
101431341401221
115020349a6976
121b14a140a199
13a4c89b714b4
144d3c4c7111b
1527374905db6
hex14d42988485

1431341401221 has 96 divisors (see below), whose sum is σ = 2323912032000. Its totient is φ = 843617617920.

The previous prime is 1431341401213. The next prime is 1431341401223. The reversal of 1431341401221 is 1221041431341.

It is a happy number.

1431341401221 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 34 + 1 + 401 + 221 = 666.

It is not a de Polignac number, because 1431341401221 - 23 = 1431341401213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431341401223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273310615 + ... + 273315851.

It is an arithmetic number, because the mean of its divisors is an integer number (24207417000).

Almost surely, 21431341401221 is an apocalyptic number.

It is an amenable number.

1431341401221 is a deficient number, since it is larger than the sum of its proper divisors (892570630779).

1431341401221 is a wasteful number, since it uses less digits than its factorization.

1431341401221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1431341401221 its reverse (1221041431341), we get a palindrome (2652382832562).

The spelling of 1431341401221 in words is "one trillion, four hundred thirty-one billion, three hundred forty-one million, four hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 19 51 57 149 153 171 323 447 631 969 1341 1893 2533 2831 2907 5237 5679 7599 8493 10727 11989 15711 22797 25479 32181 35967 47133 48127 89029 94019 96543 99503 107901 144381 203813 267087 282057 298509 433143 611439 780313 801261 846171 895527 1598323 1691551 1786361 1834317 2340939 3304547 4794969 5074653 5359083 7022817 9913641 13265321 14384907 14825947 15223959 16077249 29740923 30368137 39795963 44477841 56177299 62786393 91104411 119387889 133433523 168531897 188359179 252041099 273313233 492377503 505595691 565077537 756123297 1067368681 1477132509 2268369891 3202106043 4431397527 8370417551 9355172557 9606318129 25111252653 28065517671 75333757959 84196553013 159037933469 477113800407 1431341401221