Search a number
-
+
80407440410040 = 2333574451333713
BaseRepresentation
bin10010010010000101010000…
…111011000100010110111000
3101112200212122202212101102000
4102102011100323010112320
541014343414221110130
6443002400154341000
722636150221346032
oct2222052073042670
9345625582771360
1080407440410040
1123690670991747
12902760112a760
1335b3509ac6143
1415bda52d96c52
159468ae643260
hex492150ec45b8

80407440410040 has 64 divisors (see below), whose sum is σ = 268024801370400. Its totient is φ = 21441984109056.

The previous prime is 80407440410027. The next prime is 80407440410041. The reversal of 80407440410040 is 4001404470408.

80407440410040 is a `hidden beast` number, since 8 + 0 + 40 + 74 + 404 + 100 + 40 = 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 = 80407440409977 and 80407440410004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80407440410041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37225665777 + ... + 37225667936.

Almost surely, 280407440410040 is an apocalyptic number.

It is an amenable number.

80407440410040 is an abundant number, since it is smaller than the sum of its proper divisors (187617360960360).

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

80407440410040 is a wasteful number, since it uses less digits than its factorization.

80407440410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74451333733 (or 74451333723 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 80407440410040 its reverse (4001404470408), we get a palindrome (84408844880448).

The spelling of 80407440410040 in words is "eighty trillion, four hundred seven billion, four hundred forty million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 74451333713 148902667426 223354001139 297805334852 372256668565 446708002278 595610669704 670062003417 744513337130 893416004556 1116770005695 1340124006834 1489026674260 1786832009112 2010186010251 2233540011390 2680248013668 2978053348520 3350310017085 4020372020502 4467080022780 5360496027336 6700620034170 8040744041004 8934160045560 10050930051255 13401240068340 16081488082008 20101860102510 26802480136680 40203720205020 80407440410040