Search a number
-
+
2140733641002 = 231123433858919
BaseRepresentation
bin11111001001101101101…
…010110001000100101010
321120122121102000112222020
4133021231222301010222
5240033210303003002
64315234531205310
7310443242500305
oct37115552610452
97518542015866
102140733641002
11755975371300
122a6a7b446836
13126b41113a68
147587d6d1b3c
153aa433192bc
hex1f26dab112a

2140733641002 has 48 divisors (see below), whose sum is σ = 4707451922880. Its totient is φ = 648517446720.

The previous prime is 2140733640979. The next prime is 2140733641003. The reversal of 2140733641002 is 2001463370412.

It is a super-3 number, since 3×21407336410023 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2140733641003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2062899 + ... + 2921817.

It is an arithmetic number, because the mean of its divisors is an integer number (98071915060).

Almost surely, 22140733641002 is an apocalyptic number.

2140733641002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2140733641002 is an abundant number, since it is smaller than the sum of its proper divisors (2566718281878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2140733641002 is a wasteful number, since it uses less digits than its factorization.

2140733641002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862379 (or 862368 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 2140733641002 in words is "two trillion, one hundred forty billion, seven hundred thirty-three million, six hundred forty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 3433 6866 10299 20598 37763 75526 113289 226578 415393 830786 858919 1246179 1717838 2492358 2576757 5153514 9448109 18896218 28344327 56688654 103929199 207858398 311787597 623575194 2948668927 5897337854 8846006781 17692013562 32435358197 64870716394 97306074591 194612149182 356788940167 713577880334 1070366820501 2140733641002