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4240002313000 = 2353103169924229
BaseRepresentation
bin111101101100110011110…
…101001110101100101000
3120000100012001101102202201
4331230303311032230220
51023432011043004000
613003455152305544
7615221132003266
oct75546365165450
916010161342681
104240002313000
1113951a1850683
125858a82422b4
13249aa47c9bac
14109308031436
157545b22196a
hex3db33d4eb28

4240002313000 has 128 divisors (see below), whose sum is σ = 10024241760000. Its totient is φ = 1678477075200.

The previous prime is 4240002312983. The next prime is 4240002313009. The reversal of 4240002313000 is 3132000424.

It is a super-2 number, since 2×42400023130002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4240002313009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174984886 + ... + 175009114.

It is an arithmetic number, because the mean of its divisors is an integer number (78314388750).

Almost surely, 24240002313000 is an apocalyptic number.

4240002313000 is a gapful number since it is divisible by the number (40) 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 4240002313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012120880000).

4240002313000 is an abundant number, since it is smaller than the sum of its proper divisors (5784239447000).

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

4240002313000 is a wasteful number, since it uses less digits than its factorization.

4240002313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26052 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 4240002313000 its reverse (3132000424), we get a palindrome (4243134313424).

The spelling of 4240002313000 in words is "four trillion, two hundred forty billion, two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 1699 2060 2575 3398 4120 5150 6796 8495 10300 12875 13592 16990 20600 24229 25750 33980 42475 48458 51500 67960 84950 96916 103000 121145 169900 174997 193832 212375 242290 339800 349994 424750 484580 605725 699988 849500 874985 969160 1211450 1399976 1699000 1749970 2422900 2495587 3028625 3499940 4374925 4845800 4991174 6057250 6999880 8749850 9982348 12114500 12477935 17499700 19964696 21874625 24229000 24955870 34999400 41165071 43749250 49911740 62389675 82330142 87498500 99823480 124779350 164660284 174997000 205825355 249558700 311948375 329320568 411650710 499117400 623896750 823301420 1029126775 1247793500 1646602840 2058253550 2495587000 4116507100 4240002313 5145633875 8233014200 8480004626 10291267750 16960009252 20582535500 21200011565 33920018504 41165071000 42400023130 84800046260 106000057825 169600092520 212000115650 424000231300 530000289125 848000462600 1060000578250 2120001156500 4240002313000