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4312312740 = 22325229233449
BaseRepresentation
bin1000000010000100…
…01010101110100100
3102010112101011222200
410001002022232210
532312423001430
61551523454500
7211602024231
oct40102125644
912115334880
104312312740
11191320842a
12a04227430
13539540958
142cca10788
151a38b7460
hex10108aba4

4312312740 has 144 divisors (see below), whose sum is σ = 13223574000. Its totient is φ = 1137475584.

The previous prime is 4312312717. The next prime is 4312312747. The reversal of 4312312740 is 472132134.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 4280299776 = 5658^2 + 65424^2 .

It is not an unprimeable number, because it can be changed into a prime (4312312747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9604036 + ... + 9604484.

It is an arithmetic number, because the mean of its divisors is an integer number (91830375).

Almost surely, 24312312740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611787000).

4312312740 is an abundant number, since it is smaller than the sum of its proper divisors (8911261260).

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

4312312740 is a wasteful number, since it uses less digits than its factorization.

4312312740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4312312740 is about 65668.2018940674. The cubic root of 4312312740 is about 1627.6839577717.

Adding to 4312312740 its reverse (472132134), we get a palindrome (4784444874).

The spelling of 4312312740 in words is "four billion, three hundred twelve million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 233 449 458 466 687 699 898 916 932 1145 1165 1347 1374 1398 1796 2061 2097 2245 2290 2330 2694 2748 2796 3435 3495 4041 4122 4194 4490 4580 4660 5388 6735 6870 6990 8082 8244 8388 8980 10305 10485 13470 13740 13980 16164 20205 20610 20970 26940 40410 41220 41940 53357 80820 102821 104617 106714 160071 205642 209234 213428 266785 308463 313851 320142 411284 418468 480213 514105 523085 533570 616926 627702 640284 800355 925389 941553 960426 1028210 1046170 1067140 1233852 1255404 1542315 1569255 1600710 1850778 1883106 1920852 2056420 2092340 2401065 3084630 3138510 3201420 3701556 3766212 4626945 4707765 4802130 6169260 6277020 9253890 9415530 9604260 18507780 18831060 23957293 47914586 71871879 95829172 119786465 143743758 215615637 239572930 287487516 359359395 431231274 479145860 718718790 862462548 1078078185 1437437580 2156156370 4312312740