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1141194068001 = 3313315912713997
BaseRepresentation
bin10000100110110100011…
…101111001000000100001
311001002121202222020121000
4100212310131321000201
5122144131140134001
62232131325222213
7145306565346111
oct20466435710041
94032552866530
101141194068001
113aaa83333a99
12165207701969
13837ca355c40
143d33c49d041
151ea42200a86
hex109b4779021

1141194068001 has 128 divisors (see below), whose sum is σ = 1926483148800. Its totient is φ = 662792336640.

The previous prime is 1141194067987. The next prime is 1141194068071. The reversal of 1141194068001 is 1008604911411.

It is not a de Polignac number, because 1141194068001 - 211 = 1141194065953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1141194068071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81524335 + ... + 81538331.

It is an arithmetic number, because the mean of its divisors is an integer number (15050649600).

Almost surely, 21141194068001 is an apocalyptic number.

It is an amenable number.

1141194068001 is a deficient number, since it is larger than the sum of its proper divisors (785289080799).

1141194068001 is a wasteful number, since it uses less digits than its factorization.

1141194068001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 1141194068001 its reverse (1008604911411), we get a palindrome (2149798979412).

The spelling of 1141194068001 in words is "one trillion, one hundred forty-one billion, one hundred ninety-four million, sixty-eight thousand, one".

Divisors: 1 3 9 13 27 31 39 59 93 117 127 177 279 351 381 403 531 767 837 1143 1209 1593 1651 1829 2301 3429 3627 3937 4953 5487 6903 7493 10881 11811 13997 14859 16461 20709 22479 23777 35433 41991 44577 49383 51181 67437 71331 97409 106299 125973 153543 181961 202311 213993 232283 292227 377919 433907 460629 545883 641979 696849 825823 876681 1301721 1381887 1637649 1777619 2090547 2477469 2630043 3019679 3905163 4912947 5332857 5640791 6271641 7432407 9059037 10735699 11715489 15998571 16922373 22297221 23109047 25600513 27177111 32207097 47995713 50767119 55106189 69327141 76801539 81531333 96621291 104879521 152301357 165318567 207981423 230404617 289863873 314638563 332806669 495955701 623944269 691213851 716380457 943915689 998420007 1363433773 1487867103 2149141371 2831747067 2995260021 3251265151 4090301319 6447424113 8985780063 9753795453 12270903957 19342272339 29261386359 36812711871 42266446963 87784159077 126799340889 380398022667 1141194068001