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40405112132 = 227111138531361
BaseRepresentation
bin100101101000010101…
…010001010101000100
310212021220100100212112
4211220111101111010
51130222202042012
630321205440152
72630163533510
oct455025212504
9125256310775
1040405112132
11161546a5860
1279b7710058
133a6bc93998
141d54303140
1510b735a122
hex968551544

40405112132 has 96 divisors (see below), whose sum is σ = 89106441984. Its totient is φ = 15573196800.

The previous prime is 40405112129. The next prime is 40405112159. The reversal of 40405112132 is 23121150404.

It is a junction number, because it is equal to n+sod(n) for n = 40405112098 and 40405112107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29687132 + ... + 29688492.

It is an arithmetic number, because the mean of its divisors is an integer number (928192104).

Almost surely, 240405112132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40405112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553220992).

40405112132 is an abundant number, since it is smaller than the sum of its proper divisors (48701329852).

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

40405112132 is a wasteful number, since it uses less digits than its factorization.

40405112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 40405112132 its reverse (23121150404), we get a palindrome (63526262536).

The spelling of 40405112132 in words is "forty billion, four hundred five million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 308 452 791 853 1243 1361 1582 1706 2486 2722 3164 3412 4972 5444 5971 8701 9383 9527 11942 14971 17402 18766 19054 23884 29942 34804 37532 38108 59884 65681 96389 104797 131362 153793 192778 209594 262724 307586 385556 419188 615172 674723 1060279 1076551 1160933 1349446 1691723 2120558 2153102 2321866 2698892 3383446 4241116 4306204 4643732 6766892 7421953 8126531 11842061 12770263 14843906 16253062 23684122 25540526 29687812 32506124 47368244 51081052 89391841 131185429 178783682 262370858 357567364 524741716 918298003 1443039719 1836596006 2886079438 3673192012 5772158876 10101278033 20202556066 40405112132