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13401462642432 = 283167104489947
BaseRepresentation
bin1100001100000100010101…
…1010111001011100000000
31202110011111222021211111020
43003001011122321130000
53224032143414024212
644300314050145440
72552136510636144
oct303010532713400
952404458254436
1013401462642432
1142a758a316a97
121605362882280
137629a2338b47
143448c4565224
1518390969ad8c
hexc30456b9700

13401462642432 has 72 divisors (see below), whose sum is σ = 35881012223616. Its totient is φ = 4440404745216.

The previous prime is 13401462642413. The next prime is 13401462642437. The reversal of 13401462642432 is 23424626410431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401462642437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52116718 + ... + 52373229.

Almost surely, 213401462642432 is an apocalyptic number.

13401462642432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13401462642432 is an abundant number, since it is smaller than the sum of its proper divisors (22479549581184).

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

13401462642432 is a wasteful number, since it uses less digits than its factorization.

13401462642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104490133 (or 104490119 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 13401462642432 in words is "thirteen trillion, four hundred one billion, four hundred sixty-two million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 668 768 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 42752 64128 128256 104489947 208979894 313469841 417959788 626939682 835919576 1253879364 1671839152 2507758728 3343678304 5015517456 6687356608 10031034912 13374713216 17449821149 20062069824 26749426432 34899642298 40124139648 52349463447 69799284596 80248279296 104698926894 139598569192 209397853788 279197138384 418795707576 558394276768 837591415152 1116788553536 1675182830304 2233577107072 3350365660608 4467154214144 6700731321216 13401462642432