Search a number
-
+
1140313124421 = 331737191335099
BaseRepresentation
bin10000100101111111111…
…101010110111001000101
311001000100101022200012000
4100211333331112321011
5122140330124440141
62231504055415513
7145246010426352
oct20457775267105
94030311280160
101140313124421
113aa671038049
12165000684599
13836b99a2353
143d2974a3629
151e9debda5b6
hex1097ff56e45

1140313124421 has 64 divisors (see below), whose sum is σ = 1838083104000. Its totient is φ = 695769274368.

The previous prime is 1140313124407. The next prime is 1140313124429. The reversal of 1140313124421 is 1244213130411.

It is a happy number.

1140313124421 is a `hidden beast` number, since 1 + 1 + 403 + 13 + 1 + 244 + 2 + 1 = 666.

It is not a de Polignac number, because 1140313124421 - 214 = 1140313108037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140313124429) 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, 32470930 + ... + 32506028.

It is an arithmetic number, because the mean of its divisors is an integer number (28720048500).

Almost surely, 21140313124421 is an apocalyptic number.

It is an amenable number.

1140313124421 is a deficient number, since it is larger than the sum of its proper divisors (697769979579).

1140313124421 is a wasteful number, since it uses less digits than its factorization.

1140313124421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37075 (or 37069 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1140313124421 its reverse (1244213130411), we get a palindrome (2384526254832).

The spelling of 1140313124421 in words is "one trillion, one hundred forty billion, three hundred thirteen million, one hundred twenty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 1913 5661 5739 16983 17217 32521 35099 51651 70781 97563 105297 212343 292689 315891 596683 637029 878067 947673 1203277 1298663 1790049 1911087 3609831 3895989 5370147 10829493 11687967 16110441 22077271 32488479 35063901 66231813 67144387 198695439 201433161 596086317 604299483 1141454579 1812898449 2484342319 3424363737 7453026957 10273091211 22359080871 30819273633 42233819423 67077242613 126701458269 380104374807 1140313124421