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1140313130411 = 73132311239901
BaseRepresentation
bin10000100101111111111…
…101011000010110101011
311001000100101022222101212
4100211333331120112223
5122140330130133121
62231504055503335
7145246010453000
oct20457775302653
94030311288355
101140313130411
113aa6710415a4
12165000687b4b
13836b99a4cb0
143d2974a58a7
151e9debdc25b
hex1097ff585ab

1140313130411 has 64 divisors (see below), whose sum is σ = 1495851571200. Its totient is φ = 862143004800.

The previous prime is 1140313130389. The next prime is 1140313130413.

1140313130411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1140313130411 - 26 = 1140313130347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1140313130413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115166561 + ... + 115176461.

It is an arithmetic number, because the mean of its divisors is an integer number (23372680800).

Almost surely, 21140313130411 is an apocalyptic number.

1140313130411 is a deficient number, since it is larger than the sum of its proper divisors (355538440789).

1140313130411 is a wasteful number, since it uses less digits than its factorization.

1140313130411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11081 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 1140313130411 in words is "one trillion, one hundred forty billion, three hundred thirteen million, one hundred thirty thousand, four hundred eleven".

Divisors: 1 7 13 23 49 91 161 299 343 637 1123 1127 2093 4459 7861 7889 9901 14599 14651 25829 55027 69307 102193 102557 128713 180803 227723 335777 385189 485149 715351 900991 1265621 1594061 2350439 2960399 3396043 5007457 6306937 8859347 11118823 11158427 16453073 20722793 44148559 77831761 78108989 115171511 144544699 145059551 255732929 544822327 1011812893 1015416857 1790130503 3324528077 3813756289 7082690251 12530913521 23271696539 49578831757 87716394647 162901875773 1140313130411