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16442144611431 = 3711174789083999
BaseRepresentation
bin1110111101000011110000…
…1100000101110001100111
32011012212001022212021000220
43233100330030011301213
54123342003010031211
654545230021335423
73314622446136660
oct357207414056147
964185038767026
1016442144611431
11526a08aa95150
121a16720b67573
139236452b6546
1440bb3842c367
151d7a706d6806
hexef43c305c67

16442144611431 has 64 divisors (see below), whose sum is σ = 29555933184000. Its totient is φ = 7867898703360.

The previous prime is 16442144611423. The next prime is 16442144611469. The reversal of 16442144611431 is 13411644124461.

It is not a de Polignac number, because 16442144611431 - 23 = 16442144611423 is a prime.

It is a super-3 number, since 3×164421446114313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442144611421) 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 63 ways as a sum of consecutive naturals, for example, 44357431 + ... + 44726568.

It is an arithmetic number, because the mean of its divisors is an integer number (461811456000).

Almost surely, 216442144611431 is an apocalyptic number.

16442144611431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16442144611431 is a deficient number, since it is larger than the sum of its proper divisors (13113788572569).

16442144611431 is a wasteful number, since it uses less digits than its factorization.

16442144611431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89084084.

The product of its digits is 221184, while the sum is 42.

Adding to 16442144611431 its reverse (13411644124461), we get a palindrome (29853788735892).

The spelling of 16442144611431 in words is "sixteen trillion, four hundred forty-two billion, one hundred forty-four million, six hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 47 51 77 119 141 187 231 329 357 517 561 799 987 1309 1551 2397 3619 3927 5593 8789 10857 16779 26367 61523 184569 89083999 267251997 623587993 979923989 1514427983 1870763979 2939771967 4186947953 4543283949 6859467923 10600995881 12560843859 16658707813 20578403769 29308635671 31802987643 46056427483 49976123439 71178115201 87925907013 116610954691 138169282449 213534345603 322394992381 349832864073 498246806407 782959267211 967184977143 1494740419221 2348877801633 5480714870477 16442144611431