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240252142525434 = 23313342239519267
BaseRepresentation
bin110110101000001000001111…
…100111001001101111111010
31011111122212202220012111101000
4312220020033213021233322
5222442242341441303214
62210550151031105430
7101414434026442044
oct6650101747115772
91144585686174330
10240252142525434
116a6083a8105746
1222b42584512276
13a4098ab772550
1443483a12aaa94
151cb9799c3c809
hexda820f9c9bfa

240252142525434 has 32 divisors (see below), whose sum is σ = 574962392370240. Its totient is φ = 73923736161456.

The previous prime is 240252142525433. The next prime is 240252142525459. The reversal of 240252142525434 is 434525241252042.

240252142525434 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 52 + 1 + 4 + 2 + 52 + 543 + 4 = 666.

It is a super-2 number, since 2×2402521425254342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240252142525434.

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 15 ways as a sum of consecutive naturals, for example, 171119758932 + ... + 171119760335.

It is an arithmetic number, because the mean of its divisors is an integer number (17967574761570).

Almost surely, 2240252142525434 is an apocalyptic number.

240252142525434 is an abundant number, since it is smaller than the sum of its proper divisors (334710249844806).

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

240252142525434 is a wasteful number, since it uses less digits than its factorization.

240252142525434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342239519291 (or 342239519285 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 240252142525434 its reverse (434525241252042), we get a palindrome (674777383777476).

The spelling of 240252142525434 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-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 342239519267 684479038534 1026718557801 2053437115602 3080155673403 4449113750471 6160311346806 8898227500942 9240467020209 13347341251413 18480934040418 26694682502826 40042023754239 80084047508478 120126071262717 240252142525434