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1406122536252 = 223731643839791
BaseRepresentation
bin10100011101100011011…
…011110010110100111100
311222102110002121212021210
4110131203123302310330
5141014214332130002
62553544101524420
7203406012231660
oct24354333626474
94872402555253
101406122536252
114a2373572405
121a8623713710
13a279b1a70a5
144c0b17d48a0
152689a8ee96c
hex147636f2d3c

1406122536252 has 96 divisors (see below), whose sum is σ = 3876641112064. Its totient is φ = 388184529600.

The previous prime is 1406122536251. The next prime is 1406122536311. The reversal of 1406122536252 is 2526352216041.

It is a self number, because there is not a number n which added to its sum of digits gives 1406122536252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406122536251) 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 31 ways as a sum of consecutive naturals, for example, 1254477 + ... + 2094267.

Almost surely, 21406122536252 is an apocalyptic number.

1406122536252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406122536252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938320556032).

1406122536252 is an abundant number, since it is smaller than the sum of its proper divisors (2470518575812).

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

1406122536252 is a wasteful number, since it uses less digits than its factorization.

1406122536252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840479 (or 840477 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 1406122536252 in words is "one trillion, four hundred six billion, one hundred twenty-two million, five hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 643 651 868 1286 1302 1929 2572 2604 3858 4501 7716 9002 13503 18004 19933 27006 39866 54012 59799 79732 119598 139531 239196 279062 418593 558124 837186 839791 1674372 1679582 2519373 3359164 5038746 5878537 10077492 11757074 17635611 23514148 26033521 35271222 52067042 70542444 78100563 104134084 156201126 182234647 312402252 364469294 539985613 546703941 728938588 1079971226 1093407882 1619956839 2159942452 2186815764 3239913678 3779899291 6479827356 7559798582 11339697873 15119597164 16739554003 22679395746 33479108006 45358791492 50218662009 66958216012 100437324018 117176878021 200874648036 234353756042 351530634063 468707512084 703061268126 1406122536252