Search a number
-
+
240010140431112 = 233312713931188661
BaseRepresentation
bin110110100100100110110111…
…001010011011001100001000
31011110210202010100120100021120
4312210212313022123030020
5222424311231422243422
62210243045242235240
7101361106010540412
oct6644466712331410
91143722110510246
10240010140431112
116a5248022493a7
1222b036a64b5b20
13a3bcb2267242c
14433a7a4b799b2
151cb333415845c
hexda49b729b308

240010140431112 has 64 divisors (see below), whose sum is σ = 619383810869760. Its totient is φ = 77422275532800.

The previous prime is 240010140431101. The next prime is 240010140431129. The reversal of 240010140431112 is 211134041010042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201322062 + ... + 202510722.

It is an arithmetic number, because the mean of its divisors is an integer number (9677872044840).

Almost surely, 2240010140431112 is an apocalyptic number.

It is an amenable number.

240010140431112 is an abundant number, since it is smaller than the sum of its proper divisors (379373670438648).

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

240010140431112 is a wasteful number, since it uses less digits than its factorization.

240010140431112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460094 (or 1460090 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 240010140431112 its reverse (211134041010042), we get a palindrome (451144181441154).

The spelling of 240010140431112 in words is "two hundred forty trillion, ten billion, one hundred forty million, four hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 271393 542786 814179 1085572 1188661 1628358 2171144 2377322 3256716 3565983 4754644 6513432 7131966 8413183 9509288 14263932 16826366 25239549 28527864 33652732 36848491 50479098 67305464 73696982 100958196 110545473 147393964 201916392 221090946 294787928 442181892 884363784 322594274773 645188549546 967782824319 1290377099092 1935565648638 2580754198184 3871131297276 7742262594552 10000422517963 20000845035926 30001267553889 40001690071852 60002535107778 80003380143704 120005070215556 240010140431112