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40340433343212 = 223229163757313153
BaseRepresentation
bin10010010110000011111010…
…01100110001001011101100
312021211111201011022200200200
421023001331030301023230
520241414201413440322
6221444050024153500
711332333354523232
oct1113017514611354
9167744634280620
1040340433343212
1111943310a495a2
1246362b5608890
131968118192b12
149d66b758c952
1549e531e608ac
hex24b07d3312ec

40340433343212 has 144 divisors (see below), whose sum is σ = 106275624131040. Its totient is φ = 12886390185984.

The previous prime is 40340433343127. The next prime is 40340433343237. The reversal of 40340433343212 is 21234333404304.

40340433343212 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 0 + 433 + 3 + 4 + 3 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128663628 + ... + 128976780.

Almost surely, 240340433343212 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 40340433343212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137812065520).

40340433343212 is an abundant number, since it is smaller than the sum of its proper divisors (65935190787828).

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

40340433343212 is a wasteful number, since it uses less digits than its factorization.

40340433343212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314112 (or 314107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 40340433343212 its reverse (21234333404304), we get a palindrome (61574766747516).

The spelling of 40340433343212 in words is "forty trillion, three hundred forty billion, four hundred thirty-three million, three hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 163 174 261 326 348 489 522 652 757 978 1044 1467 1514 1956 2271 2934 3028 4542 4727 5868 6813 9084 9454 13626 14181 18908 21953 27252 28362 42543 43906 56724 65859 85086 87812 123391 131718 170172 197577 246782 263436 313153 370173 395154 493564 626306 740346 790308 939459 1110519 1252612 1480692 1878918 2221038 2818377 3578339 3757836 4442076 5636754 7156678 9081437 10735017 11273508 14313356 18162874 21470034 27244311 32205051 36325748 42940068 51043939 54488622 64410102 81732933 102087878 108977244 128820204 153131817 163465866 204175756 237056821 306263634 326931732 459395451 474113642 612527268 711170463 918790902 948227284 1422340926 1480274231 1837581804 2133511389 2844681852 2960548462 4267022778 4440822693 5921096924 6874647809 8534045556 8881645386 13322468079 13749295618 17763290772 20623943427 26644936158 27498591236 38640261823 41247886854 53289872316 61871830281 77280523646 82495773708 115920785469 123743660562 154561047292 231841570938 247487321124 347762356407 463683141876 695524712814 1120567592867 1391049425628 2241135185734 3361702778601 4482270371468 6723405557202 10085108335803 13446811114404 20170216671606 40340433343212