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123034022040040 = 23517374890064469
BaseRepresentation
bin11011111110011000010111…
…001011011101000111101000
3121010121221022112112000110121
4123332120113023131013220
5112111242134120240130
61113401014402453024
734625625522050326
oct3376302713350750
9533557275460417
10123034022040040
1136225487a51151
1211970999064174
13538609b68c1c7
142254c42620d16
15e355e5b4dd7a
hex6fe6172dd1e8

123034022040040 has 64 divisors (see below), whose sum is σ = 301032368773200. Its totient is φ = 45066834137088.

The previous prime is 123034022039993. The next prime is 123034022040053. The reversal of 123034022040040 is 40040220430321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110184363771876 + 12849658268164 = 10496874^2 + 3584642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123034022039987 and 123034022040014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445007075 + ... + 2445057394.

Almost surely, 2123034022040040 is an apocalyptic number.

123034022040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123034022040040 is an abundant number, since it is smaller than the sum of its proper divisors (177998346733160).

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

123034022040040 is a wasteful number, since it uses less digits than its factorization.

123034022040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890064534 (or 4890064530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 123034022040040 its reverse (40040220430321), we get a palindrome (163074242470361).

The spelling of 123034022040040 in words is "one hundred twenty-three trillion, thirty-four billion, twenty-two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2516 3145 5032 6290 12580 25160 4890064469 9780128938 19560257876 24450322345 39120515752 48900644690 83131095973 97801289380 166262191946 180932385353 195602578760 332524383892 361864770706 415655479865 665048767784 723729541412 831310959730 904661926765 1447459082824 1662621919460 1809323853530 3075850551001 3325243838920 3618647707060 6151701102002 7237295414120 12303402204004 15379252755005 24606804408008 30758505510010 61517011020020 123034022040040