Search a number
-
+
2104231430140 = 2257175641156733
BaseRepresentation
bin11110100111101101111…
…101111000011111111100
321110011101111200010010121
4132213231331320133330
5233433431221231030
64250400502144324
7305011550020420
oct36475575703774
97404344603117
102104231430140
1174144386aa94
1229b992a220a4
13123574905718
1473bb98a8b80
1539b0895447a
hex1e9edf787fc

2104231430140 has 96 divisors (see below), whose sum is σ = 5348205442944. Its totient is φ = 678887792640.

The previous prime is 2104231430129. The next prime is 2104231430167. The reversal of 2104231430140 is 410341324012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13347214 + ... + 13503946.

It is an arithmetic number, because the mean of its divisors is an integer number (55710473364).

Almost surely, 22104231430140 is an apocalyptic number.

2104231430140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104231430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674102721472).

2104231430140 is an abundant number, since it is smaller than the sum of its proper divisors (3243974012804).

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

2104231430140 is a wasteful number, since it uses less digits than its factorization.

2104231430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162407 (or 162405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2104231430140 its reverse (410341324012), we get a palindrome (2514572754152).

The spelling of 2104231430140 in words is "two trillion, one hundred four billion, two hundred thirty-one million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 5641 11282 22564 28205 39487 56410 78974 95897 112820 156733 157948 191794 197435 313466 383588 394870 479485 626932 671279 783665 789740 958970 1097131 1342558 1567330 1917940 2194262 2664461 2685116 3134660 3356395 4388524 5328922 5485655 6712790 10657844 10971310 13322305 13425580 18651227 21942620 26644610 37302454 53289220 74604908 93256135 186512270 373024540 884130853 1768261706 3536523412 4420654265 6188915971 8841308530 12377831942 15030224501 17682617060 24755663884 30060449002 30944579855 60120898004 61889159710 75151122505 105211571507 123778319420 150302245010 210423143014 300604490020 420846286028 526057857535 1052115715070 2104231430140