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40400431031430 = 23253756893213247
BaseRepresentation
bin10010010111110011101010…
…10101110010010010000110
312022001020120111120001021100
421023321311111302102012
520243410040321001210
6221531411331000530
711336556225462111
oct1113716525622206
9168036514501240
1040400431031430
11119667aa097798
124645a5a739146
13197098a2c0992
149d95699dd578
154a0d943a85c0
hex24be75572486

40400431031430 has 96 divisors (see below), whose sum is σ = 107882471983104. Its totient is φ = 10482040597248.

The previous prime is 40400431031419. The next prime is 40400431031447. The reversal of 40400431031430 is 3413013400404.

40400431031430 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 4 + 310 + 314 + 30 = 666.

40400431031430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40400431031394 and 40400431031403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189347067 + ... + 189560313.

It is an arithmetic number, because the mean of its divisors is an integer number (1123775749824).

Almost surely, 240400431031430 is an apocalyptic number.

40400431031430 is an abundant number, since it is smaller than the sum of its proper divisors (67482040951674).

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

40400431031430 is a wasteful number, since it uses less digits than its factorization.

40400431031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270190 (or 270187 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40400431031430 its reverse (3413013400404), we get a palindrome (43813444431834).

The spelling of 40400431031430 in words is "forty trillion, four hundred billion, four hundred thirty-one million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 56893 113786 170679 213247 284465 341358 426494 512037 568930 639741 853395 1024074 1066235 1279482 1706790 1919223 2105041 2132470 2560185 3198705 3838446 4210082 5120370 6315123 6397410 7890139 9596115 10525205 12630246 15780278 18945369 19192230 21050410 23670417 31575615 37890738 39450695 47340834 63151230 71011251 78901390 94726845 118352085 142022502 189453690 236704170 355056255 710112510 12132261571 24264523142 36396784713 60661307855 72793569426 109190354139 121322615710 181983923565 218380708278 363967847130 448893678127 545951770695 897787356254 1091903541390 1346681034381 2244468390635 2693362068762 4040043103143 4488936781270 6733405171905 8080086206286 13466810343810 20200215515715 40400431031430