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2321412311140 = 22513113263300431
BaseRepresentation
bin100001110001111110111…
…101001100100001100100
322012220222012210222121221
4201301332331030201210
5301013223022424030
64534235254150124
7326500522033456
oct41617675144144
98186865728557
102321412311140
1181556180439a
12315aa4352344
1313aba6539b70
14804dd6b22d6
15405ba3cee7a
hex21c7ef4c864

2321412311140 has 96 divisors (see below), whose sum is σ = 5316579265536. Its totient is φ = 846318520320.

The previous prime is 2321412311111. The next prime is 2321412311167. The reversal of 2321412311140 is 411132141232.

2321412311140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23214123111403 (a number of 38 digits) contains 333 as substring.

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, 7576725 + ... + 7877155.

It is an arithmetic number, because the mean of its divisors is an integer number (55381034016).

Almost surely, 22321412311140 is an apocalyptic number.

2321412311140 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 2321412311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658289632768).

2321412311140 is an abundant number, since it is smaller than the sum of its proper divisors (2995166954396).

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

2321412311140 is a wasteful number, since it uses less digits than its factorization.

2321412311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300829 (or 300827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 2321412311140 its reverse (411132141232), we get a palindrome (2732544452372).

The spelling of 2321412311140 in words is "two trillion, three hundred twenty-one billion, four hundred twelve million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 263 452 526 565 1052 1130 1315 1469 2260 2630 2938 3419 5260 5876 6838 7345 13676 14690 17095 29380 29719 34190 59438 68380 118876 148595 297190 300431 386347 594380 600862 772694 1201724 1502155 1545388 1931735 3004310 3863470 3905603 6008620 7726940 7811206 15622412 19528015 33948703 39056030 67897406 78112060 79013353 135794812 158026706 169743515 316053412 339487030 395066765 441333139 678974060 790133530 882666278 1027173589 1580267060 1765332556 2054347178 2206665695 4108694356 4413331390 5135867945 8826662780 8928508889 10271735890 17857017778 20543471780 35714035556 44642544445 89285088890 116070615557 178570177780 232141231114 464282462228 580353077785 1160706155570 2321412311140