Search a number
-
+
240252142525432 = 232937191241608033
BaseRepresentation
bin110110101000001000001111…
…100111001001101111111000
31011111122212202220012111100221
4312220020033213021233320
5222442242341441303212
62210550151031105424
7101414434026442042
oct6650101747115770
91144585686174327
10240252142525432
116a6083a8105744
1222b42584512274
13a4098ab77254b
1443483a12aaa92
151cb9799c3c807
hexda820f9c9bf8

240252142525432 has 128 divisors (see below), whose sum is σ = 483103929369600. Its totient is φ = 111792277094400.

The previous prime is 240252142525397. The next prime is 240252142525433. The reversal of 240252142525432 is 234525241252042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240252142525433) 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, 394826088 + ... + 395434120.

It is an arithmetic number, because the mean of its divisors is an integer number (3774249448200).

Almost surely, 2240252142525432 is an apocalyptic number.

It is an amenable number.

240252142525432 is an abundant number, since it is smaller than the sum of its proper divisors (242851786844168).

240252142525432 is a wasteful number, since it uses less digits than its factorization.

240252142525432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608537 (or 608533 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 43.

Adding to 240252142525432 its reverse (234525241252042), we get a palindrome (474777383777474).

The spelling of 240252142525432 in words is "two hundred forty trillion, two hundred fifty-two billion, one hundred forty-two million, five hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 29 37 58 74 116 148 191 232 241 296 382 482 764 964 1073 1528 1928 2146 4292 5539 6989 7067 8584 8917 11078 13978 14134 17834 22156 27956 28268 35668 44312 46031 55912 56536 71336 92062 184124 204943 258593 368248 409886 517186 608033 819772 1034372 1216066 1334899 1639544 1703147 2068744 2432132 2669798 3406294 4864264 5339596 6812588 10679192 13625176 17632957 22497221 35265914 44994442 49391263 70531828 89988884 98782526 116134303 141063656 146535953 179977768 197565052 232268606 293071906 395130104 464537212 586143812 652419409 929074424 1172287624 1304838818 2609677636 3367894787 4249542637 4296969211 5219355272 5421830261 6735789574 8499085274 8593938422 10843660522 13471579148 16998170548 17187876844 21687321044 26943158296 27988367023 33996341096 34375753688 43374642088 55976734046 111953468092 124612107119 157233077569 223906936184 249224214238 314466155138 498448428476 628932310276 811662643667 996896856952 1035569579851 1257864620552 1623325287334 2071139159702 3246650574668 4142278319404 6493301149336 8284556638808 30031517815679 60063035631358 120126071262716 240252142525432