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1406142205006 = 2721119433158551
BaseRepresentation
bin10100011101100100100…
…110110100110001001110
311222102111110122010202011
4110131210212310301032
5141014234401030011
62553550043251434
7203406341351200
oct24354446646116
94872443563664
101406142205006
114a2383686880
121a862a219b7a
13a27a22a27c6
144c0b4274770
152689c4d7621
hex147649b4c4e

1406142205006 has 96 divisors (see below), whose sum is σ = 2824026750720. Its totient is φ = 517811616000.

The previous prime is 1406142204991. The next prime is 1406142205009. The reversal of 1406142205006 is 6005022416041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406142205009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8789431 + ... + 8947981.

It is an arithmetic number, because the mean of its divisors is an integer number (29416945320).

Almost surely, 21406142205006 is an apocalyptic number.

1406142205006 is an abundant number, since it is smaller than the sum of its proper divisors (1417884545714).

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

1406142205006 is a wasteful number, since it uses less digits than its factorization.

1406142205006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159030 (or 159023 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 1406142205006 in words is "one trillion, four hundred six billion, one hundred forty-two million, two hundred five thousand, six".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 154 209 266 418 433 539 866 931 1078 1463 1862 2926 3031 4763 6062 8227 9526 10241 16454 20482 21217 33341 42434 57589 66682 90497 115178 158551 180994 233387 317102 403123 466774 633479 806246 1109857 1266958 1744061 2219714 3012469 3488122 4434353 6024938 7768999 8868706 12208427 15537998 21087283 24416854 33137159 42174566 66274318 68652583 85458989 137305166 147610981 170917978 231960113 295221962 463920226 480568081 755178413 961136162 1304399077 1510356826 1623720791 2608798154 3247441582 3363976567 5286248891 6727953134 9130793539 10572497782 14348389847 18261587078 28696779694 37003742237 63915554773 74007484474 100438728929 127831109546 200877457858 703071102503 1406142205006