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2140404302320 = 245436110200173
BaseRepresentation
bin11111001001011010000…
…010011100000111110000
321120121202110022102020021
4133021122002130013300
5240032022000133240
64315142124253224
7310432133245234
oct37113202340760
97517673272207
102140404302320
11755816479279
122a69a90a1214
13126abab12cbb
147584ba825c4
153aa2446254a
hex1f25a09c1f0

2140404302320 has 80 divisors (see below), whose sum is σ = 5175649888992. Its totient is φ = 822541870080.

The previous prime is 2140404302297. The next prime is 2140404302321. The reversal of 2140404302320 is 232034040412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140404302321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890247 + ... + 5309926.

Almost surely, 22140404302320 is an apocalyptic number.

2140404302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140404302320 is an abundant number, since it is smaller than the sum of its proper divisors (3035245586672).

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

2140404302320 is a wasteful number, since it uses less digits than its factorization.

2140404302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200290 (or 10200284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2140404302320 its reverse (232034040412), we get a palindrome (2372438342732).

The spelling of 2140404302320 in words is "two trillion, one hundred forty billion, four hundred four million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 61 80 86 122 172 215 244 305 344 430 488 610 688 860 976 1220 1720 2440 2623 3440 4880 5246 10492 13115 20984 26230 41968 52460 104920 209840 10200173 20400346 40800692 51000865 81601384 102001730 163202768 204003460 408006920 438607439 622210553 816013840 877214878 1244421106 1754429756 2193037195 2488842212 3111052765 3508859512 4386074390 4977684424 6222105530 7017719024 8772148780 9955368848 12444211060 17544297560 24888422120 26755053779 35088595120 49776844240 53510107558 107020215116 133775268895 214040430232 267550537790 428080860464 535101075580 1070202151160 2140404302320