Search a number
-
+
2442044340240 = 243523511986423
BaseRepresentation
bin100011100010010101001…
…011110111100000010000
322122110100021021000001120
4203202111023313200100
5310002301322341430
65105505405202240
7341301064254351
oct43422513674020
98573307230046
102442044340240
1186173540330a
1233534b860380
1314938c65553b
14862a493bd28
15437caacd610
hex238952f7810

2442044340240 has 160 divisors (see below), whose sum is σ = 7901117153280. Its totient is φ = 622769376768.

The previous prime is 2442044340227. The next prime is 2442044340247. The reversal of 2442044340240 is 420434402442.

It is not an unprimeable number, because it can be changed into a prime (2442044340247) 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, 28213669 + ... + 28300091.

It is an arithmetic number, because the mean of its divisors is an integer number (49381982208).

Almost surely, 22442044340240 is an apocalyptic number.

2442044340240 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 2442044340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950558576640).

2442044340240 is an abundant number, since it is smaller than the sum of its proper divisors (5459072813040).

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

2442044340240 is a wasteful number, since it uses less digits than its factorization.

2442044340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91581 (or 91575 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 2442044340240 its reverse (420434402442), we get a palindrome (2862478742682).

The spelling of 2442044340240 in words is "two trillion, four hundred forty-two billion, forty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5119 5520 10238 15357 20476 25595 30714 40952 51190 61428 76785 81904 86423 102380 117737 122856 153570 172846 204760 235474 245712 259269 307140 345692 353211 409520 432115 470948 518538 588685 614280 691384 706422 864230 941896 1037076 1177370 1228560 1296345 1382768 1412844 1728460 1766055 1883792 1987729 2074152 2354740 2592690 2825688 3456920 3532110 3975458 4148304 4709480 5185380 5651376 5963187 6913840 7064220 7950916 9418960 9938645 10370760 11926374 14128440 15901832 19877290 20741520 23852748 28256880 29815935 31803664 39754580 47705496 59631870 79509160 95410992 119263740 159018320 238527480 442399337 477054960 884798674 1327198011 1769597348 2211996685 2654396022 3539194696 4423993370 5308792044 6635990055 7078389392 8847986740 10175184751 10617584088 13271980110 17695973480 20350369502 21235168176 26543960220 30525554253 35391946960 40700739004 50875923755 53087920440 61051108506 81401478008 101751847510 106175840880 122102217012 152627771265 162802956016 203503695020 244204434024 305255542530 407007390040 488408868048 610511085060 814014780080 1221022170120 2442044340240