Search a number
-
+
201403132002414 = 232414314983423587
BaseRepresentation
bin101101110010110011010010…
…001000111100000001101110
3222102002221200120001001122200
4231302303102020330001232
5202344242103243034124
61552203153241522330
760264616235461116
oct5562632210740156
9872087616031580
10201403132002414
115919a6524a0391
121a7093394a33a6
13884c306a17304
1437a3d6c198046
151843e57169bc9
hexb72cd223c06e

201403132002414 has 96 divisors (see below), whose sum is σ = 457444053690624. Its totient is φ = 63969347756160.

The previous prime is 201403132002407. The next prime is 201403132002419. The reversal of 201403132002414 is 414200231304102.

201403132002414 is a `hidden beast` number, since 2 + 0 + 1 + 40 + 3 + 1 + 3 + 200 + 2 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201403132002419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475258729 + ... + 475682315.

It is an arithmetic number, because the mean of its divisors is an integer number (4765042225944).

Almost surely, 2201403132002414 is an apocalyptic number.

201403132002414 is an abundant number, since it is smaller than the sum of its proper divisors (256040921688210).

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

201403132002414 is a wasteful number, since it uses less digits than its factorization.

201403132002414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438662 (or 438659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201403132002414 its reverse (414200231304102), we get a palindrome (615603363306516).

The spelling of 201403132002414 in words is "two hundred one trillion, four hundred three billion, one hundred thirty-two million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 41 43 82 86 123 129 246 258 369 387 738 774 1763 3526 5289 10578 14983 15867 29966 31734 44949 89898 134847 269694 423587 614303 644269 847174 1228606 1270761 1288538 1842909 1932807 2541522 3685818 3812283 3865614 5528727 5798421 7624566 11057454 11596842 17367067 18214241 26415029 34734134 36428482 52101201 52830058 54642723 79245087 104202402 109285446 156303603 158490174 163928169 237735261 312607206 327856338 475470522 746783881 1493567762 2240351643 4480703286 6346604021 6721054929 12693208042 13442109858 19039812063 38079624126 57119436189 114238872378 260210764861 272903972903 520421529722 545807945806 780632294583 818711918709 1561264589166 1637423837418 2341896883749 2456135756127 4683793767498 4912271512254 11189062889023 22378125778046 33567188667069 67134377334138 100701566001207 201403132002414