Search a number
-
+
2334324133120 = 28571911364017
BaseRepresentation
bin100001111110000000100…
…011111000110100000000
322021011022001200111120211
4201332000203320310000
5301221143434224440
64544212415243504
7330435504514360
oct41760043706400
98234261614524
102334324133120
1181aa88132351
123184a8519594
1313c183577005
1480da64469a0
1540ac3c14eea
hex21f808f8d00

2334324133120 has 144 divisors (see below), whose sum is σ = 6423673632768. Its totient is φ = 796148858880.

The previous prime is 2334324133109. The next prime is 2334324133199. The reversal of 2334324133120 is 213314234332.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029352 + ... + 2393368.

It is an arithmetic number, because the mean of its divisors is an integer number (44608844672).

Almost surely, 22334324133120 is an apocalyptic number.

2334324133120 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 2334324133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211836816384).

2334324133120 is an abundant number, since it is smaller than the sum of its proper divisors (4089349499648).

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

2334324133120 is a wasteful number, since it uses less digits than its factorization.

2334324133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364236 (or 1364222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 2334324133120 its reverse (213314234332), we get a palindrome (2547638367452).

The spelling of 2334324133120 in words is "two trillion, three hundred thirty-four billion, three hundred twenty-four million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 191 224 256 280 320 382 448 560 640 764 896 955 1120 1280 1337 1528 1792 1910 2240 2674 3056 3820 4480 5348 6112 6685 7640 8960 10696 12224 13370 15280 21392 24448 26740 30560 42784 48896 53480 61120 85568 106960 122240 171136 213920 244480 342272 427840 855680 1364017 1711360 2728034 5456068 6820085 9548119 10912136 13640170 19096238 21824272 27280340 38192476 43648544 47740595 54560680 76384952 87297088 95481190 109121360 152769904 174594176 190962380 218242720 260527247 305539808 349188352 381924760 436485440 521054494 611079616 763849520 872970880 1042108988 1222159232 1302636235 1527699040 1745941760 1823690729 2084217976 2444318464 2605272470 3055398080 3647381458 4168435952 5210544940 6110796160 7294762916 8336871904 9118453645 10421089880 12221592320 14589525832 16673743808 18236907290 20842179760 29179051664 33347487616 36473814580 41684359520 58358103328 66694975232 72947629160 83368719040 116716206656 145895258320 166737438080 233432413312 291790516640 333474876160 466864826624 583581033280 1167162066560 2334324133120