Search a number
-
+
240313100231000 = 23538324111200887
BaseRepresentation
bin110110101001000001000000…
…111110010110000101011000
31011111212201010010212210011202
4312221001000332112011120
5222444242212124343000
62211034151510213332
7101422022435415206
oct6651010076260530
91144781103783152
10240313100231000
116a631239149105
1222b52357054248
13a41257474b904
14434b30501c076
151cbb1665b9dd5
hexda9040f96158

240313100231000 has 128 divisors (see below), whose sum is σ = 569344267215360. Its totient is φ = 94927636528000.

The previous prime is 240313100230999. The next prime is 240313100231047. The reversal of 240313100231000 is 132001313042.

It is a super-2 number, since 2×2403131002310002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199512557 + ... + 200713443.

It is an arithmetic number, because the mean of its divisors is an integer number (4448002087620).

Almost surely, 2240313100231000 is an apocalyptic number.

240313100231000 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 240313100231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284672133607680).

240313100231000 is an abundant number, since it is smaller than the sum of its proper divisors (329031166984360).

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

240313100231000 is a wasteful number, since it uses less digits than its factorization.

240313100231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203402 (or 1203388 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 240313100231000 its reverse (132001313042), we get a palindrome (240445101544042).

The spelling of 240313100231000 in words is "two hundred forty trillion, three hundred thirteen billion, one hundred million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 2411 3320 4150 4822 8300 9644 10375 12055 16600 19288 20750 24110 41500 48220 60275 83000 96440 120550 200113 241100 301375 400226 482200 602750 800452 1000565 1200887 1205500 1600904 2001130 2401774 2411000 4002260 4803548 5002825 6004435 8004520 9607096 10005650 12008870 20011300 24017740 25014125 30022175 40022600 48035480 50028250 60044350 99673621 100056500 120088700 150110875 199347242 200113000 240177400 300221750 398694484 498368105 600443500 797388968 996736210 1200887000 1993472420 2491840525 2895338557 3986944840 4983681050 5790677114 9967362100 11581354228 12459202625 14476692785 19934724200 23162708456 24918405250 28953385570 49836810500 57906771140 72383463925 99673621000 115813542280 144766927850 240313100231 289533855700 361917319625 480626200462 579067711400 723834639250 961252400924 1201565501155 1447669278500 1922504801848 2403131002310 2895338557000 4806262004620 6007827505775 9612524009240 12015655011550 24031310023100 30039137528875 48062620046200 60078275057750 120156550115500 240313100231000