Search a number
-
+
40110144402312 = 233210923173220553
BaseRepresentation
bin10010001111010110111101…
…11010001011001110001000
312021000111021221001101102100
421013223132322023032020
520224131033431333222
6221150202421033400
711306601525031125
oct1107533672131610
9167014257041370
1040110144402312
1111864686933836
1245b9746255860
13194c4a798370a
149c94ac92b74c
1549855483a4ac
hex247adee8b388

40110144402312 has 96 divisors (see below), whose sum is σ = 109633489594200. Its totient is φ = 13246755406848.

The previous prime is 40110144402257. The next prime is 40110144402313. The reversal of 40110144402312 is 21320444101104.

40110144402312 is a `hidden beast` number, since 4 + 0 + 110 + 144 + 402 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26746542950436 + 13363601451876 = 5171706^2 + 3655626^2 .

It is not an unprimeable number, because it can be changed into a prime (40110144402313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181751428 + ... + 181971980.

Almost surely, 240110144402312 is an apocalyptic number.

It is an amenable number.

40110144402312 is an abundant number, since it is smaller than the sum of its proper divisors (69523345191888).

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

40110144402312 is a wasteful number, since it uses less digits than its factorization.

40110144402312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243847 (or 243840 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40110144402312 its reverse (21320444101104), we get a palindrome (61430588503416).

The spelling of 40110144402312 in words is "forty trillion, one hundred ten billion, one hundred forty-four million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 23173 46346 69519 92692 139038 185384 208557 220553 278076 417114 441106 556152 661659 834228 882212 1323318 1668456 1764424 1984977 2525857 2646636 3969954 5051714 5293272 7577571 7939908 10103428 15155142 15879816 20206856 22732713 24040277 30310284 45465426 48080554 60620568 72120831 90930852 96161108 144241662 181861704 192322216 216362493 288483324 432724986 576966648 865449972 1730899944 5110874669 10221749338 15332624007 20443498676 30665248014 40886997352 45997872021 61330496028 91995744042 122660992056 183991488084 367982976168 557085338921 1114170677842 1671256016763 2228341355684 3342512033526 4456682711368 5013768050289 6685024067052 10027536100578 13370048134104 20055072201156 40110144402312