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1401605138214 = 232661237749559
BaseRepresentation
bin10100011001010110001…
…011010010011100100110
311221222210021100021011100
4110121112023102130212
5140430441403410324
62551515530220530
7203156040050211
oct24312613223446
94858707307140
101401605138214
114a04656193a6
121a7782884746
13a222b31b5b8
144bba387a778
15266d40264c9
hex146562d2726

1401605138214 has 48 divisors (see below), whose sum is σ = 3042746310240. Its totient is φ = 466289239680.

The previous prime is 1401605138209. The next prime is 1401605138249. The reversal of 1401605138214 is 4128315061041.

1401605138214 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 60 + 513 + 82 + 1 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28256767 + ... + 28306325.

It is an arithmetic number, because the mean of its divisors is an integer number (63390548130).

Almost surely, 21401605138214 is an apocalyptic number.

1401605138214 is an abundant number, since it is smaller than the sum of its proper divisors (1641141172026).

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

1401605138214 is a wasteful number, since it uses less digits than its factorization.

1401605138214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52605 (or 52602 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1401605138214 in words is "one trillion, four hundred one billion, six hundred five million, one hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 661 1322 1983 2377 3966 4754 5949 7131 11898 14262 21393 42786 49559 99118 148677 297354 446031 892062 1571197 3142394 4713591 9427182 14140773 28281546 32758499 65516998 98275497 117801743 196550994 235603486 294826491 353405229 589652982 706810458 1060215687 2120431374 77866952123 155733904246 233600856369 467201712738 700802569107 1401605138214