Search a number
-
+
123243540255040 = 265467824702491
BaseRepresentation
bin11100000001011011011111…
…011100000001000101000000
3121011100222010020000010022111
4130001123133130001011000
5112123210232301130130
61114041144545145104
734650023550355312
oct3401333734010500
9534328106003274
10123243540255040
11362a6323581137
12119a551032b194
13539ca7b92055a
14226103a8917b2
15e3aca9a1502a
hex7016df701140

123243540255040 has 56 divisors (see below), whose sum is σ = 294102103887072. Its totient is φ = 49191854123520.

The previous prime is 123243540255037. The next prime is 123243540255047. The reversal of 123243540255040 is 40552045342321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 123243540254984 and 123243540255002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123243540255047) 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 7 ways as a sum of consecutive naturals, for example, 412201806 + ... + 412500685.

Almost surely, 2123243540255040 is an apocalyptic number.

123243540255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123243540255040 is an abundant number, since it is smaller than the sum of its proper divisors (170858563632032).

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

123243540255040 is an equidigital number, since it uses as much as digits as its factorization.

123243540255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824702975 (or 824702965 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 123243540255040 its reverse (40552045342321), we get a palindrome (163795585597361).

The spelling of 123243540255040 in words is "one hundred twenty-three trillion, two hundred forty-three billion, five hundred forty million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 467 934 1868 2335 3736 4670 7472 9340 14944 18680 29888 37360 74720 149440 824702491 1649404982 3298809964 4123512455 6597619928 8247024910 13195239856 16494049820 26390479712 32988099640 52780959424 65976199280 131952398560 263904797120 385136063297 770272126594 1540544253188 1925680316485 3081088506376 3851360632970 6162177012752 7702721265940 12324354025504 15405442531880 24648708051008 30810885063760 61621770127520 123243540255040