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2334201044344 = 23132337172315307
BaseRepresentation
bin100001111101111001001…
…110010101110101111000
322021010222111001221112021
4201331321032111311320
5301220420431404334
64544152301124224
7330432451340101
oct41757116256570
98233874057467
102334201044344
1181aa24700994
12318473259674
1313c163c0b210
1480d93d653a8
1540ab7eee3b4
hex21f79395d78

2334201044344 has 128 divisors (see below), whose sum is σ = 5054402787840. Its totient is φ = 1001985126912.

The previous prime is 2334201044309. The next prime is 2334201044347. The reversal of 2334201044344 is 4434401024332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334201044347) 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, 152484739 + ... + 152500045.

It is an arithmetic number, because the mean of its divisors is an integer number (39487521780).

Almost surely, 22334201044344 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 2334201044344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527201393920).

2334201044344 is an abundant number, since it is smaller than the sum of its proper divisors (2720201743496).

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

2334201044344 is a wasteful number, since it uses less digits than its factorization.

2334201044344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17109 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2334201044344 its reverse (4434401024332), we get a palindrome (6768602068676).

The spelling of 2334201044344 in words is "two trillion, three hundred thirty-four billion, two hundred one million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 296 299 481 598 851 962 1196 1702 1723 1924 2392 3404 3446 3848 6808 6892 11063 13784 15307 22126 22399 30614 39629 44252 44798 61228 63751 79258 88504 89596 122456 127502 158516 179192 198991 255004 317032 352061 397982 510008 515177 566359 704122 795964 828763 1030354 1132718 1408244 1466273 1591928 1657526 2060708 2265436 2816488 2932546 3315052 4121416 4530872 4576793 5865092 6630104 7362667 9153586 11730184 13026257 14725334 18307172 19061549 26052514 26373961 29450668 36614344 38123098 52105028 52747922 58901336 76246196 104210056 105495844 152492392 169341341 210991688 338682682 342861493 606601103 677365364 685722986 975836557 1213202206 1354730728 1371445972 1951673114 2426404412 2742891944 3903346228 4852808824 7806692456 7885814339 12685875241 15771628678 22444240811 25371750482 31543257356 44888481622 50743500964 63086514712 89776963244 101487001928 179553926488 291775130543 583550261086 1167100522172 2334201044344