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21143141344440 = 23325272921521051
BaseRepresentation
bin1001100111010110001010…
…11011011110010010111000
32202212021010212120122100100
410303223011123132102320
510232402123141010230
6112545005224235400
74311353516102553
oct463530533362270
982767125518310
1021143141344440
1168118350a76a5
12245582330bb60
13ba4a35bb404b
145314951ad69a
15269eaced2660
hex133ac56de4b8

21143141344440 has 96 divisors (see below), whose sum is σ = 68740392193200. Its totient is φ = 5636104742400.

The previous prime is 21143141344433. The next prime is 21143141344441. The reversal of 21143141344440 is 4444314134112.

21143141344440 is a `hidden beast` number, since 2 + 1 + 1 + 43 + 141 + 34 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21143141344395 and 21143141344404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21143141344441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9778086 + ... + 11742965.

Almost surely, 221143141344440 is an apocalyptic number.

21143141344440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21143141344440 is an abundant number, since it is smaller than the sum of its proper divisors (47597250848760).

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

21143141344440 is a wasteful number, since it uses less digits than its factorization.

21143141344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21523797 (or 21523790 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 21143141344440 its reverse (4444314134112), we get a palindrome (25587455478552).

The spelling of 21143141344440 in words is "twenty-one trillion, one hundred forty-three billion, one hundred forty-one million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2729 5458 8187 10916 13645 16374 21832 24561 27290 32748 40935 49122 54580 65496 81870 98244 109160 122805 163740 196488 245610 327480 491220 982440 21521051 43042102 64563153 86084204 107605255 129126306 172168408 193689459 215210510 258252612 322815765 387378918 430421020 516505224 645631530 774757836 860842040 968447295 1291263060 1549515672 1936894590 2582526120 3873789180 7747578360 58730948179 117461896358 176192844537 234923792716 293654740895 352385689074 469847585432 528578533611 587309481790 704771378148 880964222685 1057157067222 1174618963580 1409542756296 1761928445370 2114314134444 2349237927160 2642892668055 3523856890740 4228628268888 5285785336110 7047713781480 10571570672220 21143141344440