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2334315661304 = 2311194376942221
BaseRepresentation
bin100001111110000000000…
…011100100011111111000
322021011021110202002102212
4201332000003210133320
5301221134302130204
64544211513514252
7330435342511244
oct41760003443770
98234243662385
102334315661304
1181aa83376350
123184a5712988
1313c18189bbc3
1480da527d424
1540ac30dec6e
hex21f800e47f8

2334315661304 has 128 divisors (see below), whose sum is σ = 5149732896000. Its totient is φ = 980530790400.

The previous prime is 2334315661177. The next prime is 2334315661313. The reversal of 2334315661304 is 4031665134332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55266914 + ... + 55309134.

It is an arithmetic number, because the mean of its divisors is an integer number (40232288250).

Almost surely, 22334315661304 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 2334315661304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574866448000).

2334315661304 is an abundant number, since it is smaller than the sum of its proper divisors (2815417234696).

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

2334315661304 is a wasteful number, since it uses less digits than its factorization.

2334315661304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43069 (or 43065 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 2334315661304 in words is "two trillion, three hundred thirty-four billion, three hundred fifteen million, six hundred sixty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 19 22 38 43 44 76 86 88 152 172 209 344 418 473 769 817 836 946 1538 1634 1672 1892 3076 3268 3784 6152 6536 8459 8987 14611 16918 17974 29222 33067 33836 35948 42221 58444 66134 67672 71896 84442 116888 132268 160721 168884 264536 321442 337768 363737 464431 628273 642884 727474 802199 928862 1256546 1285768 1454948 1604398 1815503 1857724 2513092 2909896 3208796 3631006 3715448 5026184 6417592 6911003 7262012 8824189 13822006 14524024 17648378 19970533 27644012 32467949 34494557 35296756 39941066 55288024 64935898 68989114 70593512 79882132 129871796 137978228 159764264 259743592 275956456 357147439 379440127 616891031 714294878 758880254 1233782062 1396121807 1428589756 1517760508 2467564124 2792243614 2857179512 3035521016 4935128248 5584487228 6785801341 11168974456 13571602682 15357339877 26526314333 27143205364 30714679754 53052628666 54286410728 61429359508 106105257332 122858719016 212210514664 291789457663 583578915326 1167157830652 2334315661304