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40131542430 = 23257217475209
BaseRepresentation
bin100101011000000001…
…101011110110011110
310211120211120120210100
4211120001223312132
51124142133324210
630234114121530
72620332324300
oct453001536636
9124524516710
1040131542430
11160242338a1
12793bb802a6
133a273bb115
141d29c4d970
15109d31c5c0
hex95806bd9e

40131542430 has 144 divisors (see below), whose sum is σ = 121470233040. Its totient is φ = 9165913344.

The previous prime is 40131542401. The next prime is 40131542447. The reversal of 40131542430 is 3424513104.

It is a happy number.

40131542430 is a `hidden beast` number, since 401 + 3 + 15 + 4 + 243 + 0 = 666.

40131542430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401315424302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40131542394 and 40131542403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7701666 + ... + 7706874.

It is an arithmetic number, because the mean of its divisors is an integer number (843543285).

Almost surely, 240131542430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131542430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60735116520).

40131542430 is an abundant number, since it is smaller than the sum of its proper divisors (81338690610).

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

40131542430 is a wasteful number, since it uses less digits than its factorization.

40131542430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 40131542430 in words is "forty billion, one hundred thirty-one million, five hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 1747 2205 3494 4410 5209 5241 8735 10418 10482 12229 15627 15723 17470 24458 26045 26205 31254 31446 36463 36687 46881 52090 52410 61145 72926 73374 78135 78615 85603 93762 109389 110061 122290 156270 157230 171206 182315 183435 218778 220122 234405 255241 256809 328167 364630 366870 428015 468810 510482 513618 546945 550305 656334 765723 770427 856030 1093890 1100610 1276205 1284045 1531446 1540854 1640835 2297169 2552410 2568090 3281670 3828615 3852135 4594338 7657230 7704270 9100123 11485845 18200246 22971690 27300369 45500615 54600738 63700861 81901107 91001230 127401722 136501845 163802214 191102583 273003690 318504305 382205166 409505535 445906027 573307749 637008610 819011070 891812054 955512915 1146615498 1337718081 1911025830 2229530135 2675436162 2866538745 4013154243 4459060270 5733077490 6688590405 8026308486 13377180810 20065771215 40131542430