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2440230404031 = 337174813157799
BaseRepresentation
bin100011100000101001000…
…100001111111110111111
322122021122212000111101000
4203200221010033332333
5304440042440412111
65105005410221343
7341205120124530
oct43405104177677
98567585014330
102440230404031
118609944a0182
12334b24284853
131491608c60c4
1486171a78687
1543721720c56
hex2382910ffbf

2440230404031 has 64 divisors (see below), whose sum is σ = 4375579392000. Its totient is φ = 1312111830528.

The previous prime is 2440230403957. The next prime is 2440230404041. The reversal of 2440230404031 is 1304040320442.

It is a happy number.

2440230404031 is a `hidden beast` number, since 24 + 4 + 0 + 230 + 4 + 0 + 403 + 1 = 666.

It is not a de Polignac number, because 2440230404031 - 210 = 2440230403007 is a prime.

It is a super-2 number, since 2×24402304040312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2440230403986 and 2440230404004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440230404041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15385270 + ... + 15543068.

It is an arithmetic number, because the mean of its divisors is an integer number (68368428000).

Almost surely, 22440230404031 is an apocalyptic number.

2440230404031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2440230404031 is a deficient number, since it is larger than the sum of its proper divisors (1935348987969).

2440230404031 is a wasteful number, since it uses less digits than its factorization.

2440230404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162645 (or 162639 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2440230404031 its reverse (1304040320442), we get a palindrome (3744270724473).

The spelling of 2440230404031 in words is "two trillion, four hundred forty billion, two hundred thirty million, four hundred four thousand, thirty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 4813 14439 33691 43317 81821 101073 129951 157799 245463 303219 473397 572747 736389 909657 1104593 1420191 1718241 2209167 2682583 3313779 4260573 5154723 8047749 9941337 15464169 18778081 24143247 29824011 56334243 72429741 169002729 507008187 759486587 2278459761 5316406109 6835379283 12911271979 15949218327 20506137849 38733815937 47847654981 90378903853 116201447811 143542964943 271136711559 348604343433 813410134677 2440230404031