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40323211205199 = 3132829105191283
BaseRepresentation
bin10010010101100011110101…
…01011100001101001001111
312021202212020220211102201020
421022301322223201221033
520241123414032031244
6221432121050045223
711331153523002306
oct1112617253415117
9167685226742636
1040323211205199
1111936a8355738a
124632aa9a19813
131966602163b00
149d59221a743d
1549dd75009d19
hex24ac7aae1a4f

40323211205199 has 48 divisors (see below), whose sum is σ = 58344453406080. Its totient is φ = 24760498089600.

The previous prime is 40323211205191. The next prime is 40323211205213. The reversal of 40323211205199 is 99150211232304.

It is a happy number.

It is not a de Polignac number, because 40323211205199 - 23 = 40323211205191 is a prime.

It is a super-2 number, since 2×403232112051992 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40323211205199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40323211205191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441692812 + ... + 441784094.

It is an arithmetic number, because the mean of its divisors is an integer number (1215509445960).

Almost surely, 240323211205199 is an apocalyptic number.

40323211205199 is a deficient number, since it is larger than the sum of its proper divisors (18021242200881).

40323211205199 is a wasteful number, since it uses less digits than its factorization.

40323211205199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93192 (or 93179 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 40323211205199 in words is "forty trillion, three hundred twenty-three billion, two hundred eleven million, two hundred five thousand, one hundred ninety-nine".

Divisors: 1 3 13 39 169 507 829 1051 2487 3153 10777 13663 32331 40989 91283 140101 177619 273849 420303 532857 871279 1186679 2613837 3560037 11326627 15426827 33979881 46280481 75673607 95938433 147246151 227020821 287815299 441738453 983756891 1247199629 2951270673 3741598887 12788839583 16213595177 38366518749 48640785531 79532960957 238598882871 1033928492441 3101785477323 13441070401733 40323211205199