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999940001199993 = 337412711987239641
BaseRepresentation
bin1110001101011100001010110…
…0100100010111011101111001
311212010111022220221211110012000
43203113002230210113131321
52022031004110301344433
613502410032301011213
7420423165252633360
oct34327025444273571
94763438827743160
10999940001199993
1126a68019a328107
12941970a3253b09
1333bc4c2592a749
14138cd4d62567d7
157a90b02c34113
hex38d70ac917779

999940001199993 has 128 divisors (see below), whose sum is σ = 1741596279521280. Its totient is φ = 555118966656000.

The previous prime is 999940001199989. The next prime is 999940001200003. The reversal of 999940001199993 is 399991100049999.

999940001199993 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 400 + 0 + 119 + 9 + 9 + 93 = 666.

It is a Cunningham number, because it is equal to 999983+1.

It is not a de Polignac number, because 999940001199993 - 22 = 999940001199989 is a prime.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (999940001199983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4172538453 + ... + 4172778093.

It is an arithmetic number, because the mean of its divisors is an integer number (13606220933760).

Almost surely, 2999940001199993 is an apocalyptic number.

It is an amenable number.

999940001199993 is a deficient number, since it is larger than the sum of its proper divisors (741656278321287).

999940001199993 is a wasteful number, since it uses less digits than its factorization.

999940001199993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241956 (or 241950 counting only the distinct ones).

The product of its (nonzero) digits is 516560652, while the sum is 81.

The spelling of 999940001199993 in words is "nine hundred ninety-nine trillion, nine hundred forty billion, one million, one hundred ninety-nine thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 41 63 123 189 271 287 369 813 861 1107 1897 1987 2439 2583 5691 5961 7317 7749 11111 13909 17073 17883 33333 41727 51219 53649 77777 81467 99999 125181 233331 239641 244401 299997 375543 538477 570269 699993 718923 733203 1615431 1677487 1710807 2099979 2156769 2199609 3769339 4846293 5032461 5132421 6470307 9825281 11308017 14538879 15097383 15397263 22077557 29475843 33924051 45292149 64942711 66232671 68776967 88427529 101772153 154542899 194828133 198698013 206330901 265282587 454598977 463628697 476166667 584484399 596094039 618992703 1363796931 1390886091 1428500001 1753453197 1856978109 2662651151 3333166669 4091390793 4172658273 4285500003 7987953453 9999500007 12274172379 12856500009 18638558057 19522833347 23963860359 29998500021 55915674171 58568500041 71891581077 89995500063 129041166757 136659833429 167747022513 175705500123 387123500271 409979500287 503241067539 527116500369 903288167299 1161370500813 1229938500861 2709864501897 3484111502439 3689815502583 5290687837037 8129593505691 15872063511111 24388780517073 37034814859259 47616190533333 111104444577777 142848571599999 333313333733331 999940001199993