Search a number
-
+
240323013243152 = 2477350375497741
BaseRepresentation
bin110110101001001010001111…
…110101011111000100010000
31011111220122200222221222101222
4312221022033311133010100
5222444423012342240102
62211042511304344212
7101422523205551240
oct6651121765370420
91144818628858358
10240323013243152
116a635465849934
1222b54262a75068
13a413494400188
14434b9a57b9b20
151cbb5469e3aa2
hexda928fd5f110

240323013243152 has 160 divisors (see below), whose sum is σ = 540647321356800. Its totient is φ = 101356196106240.

The previous prime is 240323013243133. The next prime is 240323013243191. The reversal of 240323013243152 is 251342310323042.

240323013243152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 31045470002 + ... + 31045477742.

It is an arithmetic number, because the mean of its divisors is an integer number (3379045758480).

Almost surely, 2240323013243152 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 240323013243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270323660678400).

240323013243152 is an abundant number, since it is smaller than the sum of its proper divisors (300324308113648).

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

240323013243152 is a wasteful number, since it uses less digits than its factorization.

240323013243152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15881 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 240323013243152 its reverse (251342310323042), we get a palindrome (491665323566194).

The spelling of 240323013243152 in words is "two hundred forty trillion, three hundred twenty-three billion, thirteen million, two hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 503 511 584 1006 1022 1168 2012 2044 3521 4024 4088 7042 7549 7741 8048 8176 14084 15098 15482 28168 30196 30964 36719 52843 54187 56336 60392 61928 73438 105686 108374 120784 123856 146876 211372 216748 257033 293752 422744 433496 514066 551077 565093 587504 845488 866992 1028132 1102154 1130186 2056264 2204308 2260372 3797147 3857539 3893723 3955651 4112528 4408616 4520744 7594294 7715078 7787446 7911302 8817232 9041488 15188588 15430156 15574892 15822604 26580029 27256061 30377176 30860312 31149784 31645208 53160058 54512122 58436809 60754352 61720624 62299568 63290416 106320116 109024244 116873618 212640232 218048488 233747236 277191731 284241779 409057663 425280464 436096976 467494472 554383462 568483558 818115326 934988944 1108766924 1136967116 1636230652 1940342117 1989692453 2217533848 2273934232 3272461304 3880684234 3979384906 4265887057 4435067696 4547868464 6544922608 7761368468 7958769812 8531774114 15522736936 15917539624 17063548228 29393714927 29861209399 31045473872 31835079248 34127096456 58787429854 59722418798 68254192912 117574859708 119444837596 205756004489 235149719416 238889675192 411512008978 470299438832 477779350384 823024017956 1646048035912 2145741189671 3292096071824 4291482379342 8582964758684 15020188327697 17165929517368 30040376655394 34331859034736 60080753310788 120161506621576 240323013243152