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231105301440 = 26351318518053
BaseRepresentation
bin1101011100111011110…
…0110000101111000000
3211002112010101201101220
43113032330300233000
512241300424121230
6254100204355040
722461001436016
oct3271674605700
9732463351356
10231105301440
118a013a105a2
1238958845a80
1318a4069cca0
14b2852488b6
15602912ed10
hex35cef30bc0

231105301440 has 112 divisors (see below), whose sum is σ = 790202400288. Its totient is φ = 56887455744.

The previous prime is 231105301417. The next prime is 231105301447. The reversal of 231105301440 is 44103501132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231105301440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231105301447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9246547 + ... + 9271506.

It is an arithmetic number, because the mean of its divisors is an integer number (7055378574).

Almost surely, 2231105301440 is an apocalyptic number.

231105301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231105301440 is an abundant number, since it is smaller than the sum of its proper divisors (559097098848).

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

231105301440 is a wasteful number, since it uses less digits than its factorization.

231105301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518086 (or 18518076 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 231105301440 its reverse (44103501132), we get a palindrome (275208802572).

The spelling of 231105301440 in words is "two hundred thirty-one billion, one hundred five million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 18518053 37036106 55554159 74072212 92590265 111108318 148144424 185180530 222216636 240734689 277770795 296288848 370361060 444433272 481469378 555541590 592577696 722204067 740722120 888866544 962938756 1111083180 1185155392 1203673445 1444408134 1481444240 1777733088 1925877512 2222166360 2407346890 2888816268 2962888480 3555466176 3611020335 3851755024 4444332720 4814693780 5777632536 5925776960 7222040670 7703510048 8888665440 9629387560 11555265072 14444081340 15407020096 17777330880 19258775120 23110530144 28888162680 38517550240 46221060288 57776325360 77035100480 115552650720 231105301440