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2440104220233 = 331937491261823
BaseRepresentation
bin100011100000100001100…
…010111001011001001001
322122021100001120200202000
4203200201202321121021
5304434313140021413
65104545101501213
7341202025436661
oct43404142713111
98567301520660
102440104220233
1186092a245449
12334aa9b71809
13149140715634
148615cdcd1a1
15437155e8073
hex238218b9649

2440104220233 has 64 divisors (see below), whose sum is σ = 3916049203200. Its totient is φ = 1496406985920.

The previous prime is 2440104220219. The next prime is 2440104220289. The reversal of 2440104220233 is 3320224010442.

2440104220233 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 1 + 0 + 422 + 0 + 233 = 666.

It is not a de Polignac number, because 2440104220233 - 24 = 2440104220217 is a prime.

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 = 2440104220197 and 2440104220206.

It is not an unprimeable number, because it can be changed into a prime (2440104220933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9188760 + ... + 9450582.

It is an arithmetic number, because the mean of its divisors is an integer number (61188268800).

Almost surely, 22440104220233 is an apocalyptic number.

It is an amenable number.

2440104220233 is a deficient number, since it is larger than the sum of its proper divisors (1475944982967).

2440104220233 is a wasteful number, since it uses less digits than its factorization.

2440104220233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262379 (or 262373 counting only the distinct ones).

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

Adding to 2440104220233 its reverse (3320224010442), we get a palindrome (5760328230675).

The spelling of 2440104220233 in words is "two trillion, four hundred forty billion, one hundred four million, two hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 19 27 37 57 111 171 333 491 513 703 999 1473 2109 4419 6327 9329 13257 18167 18981 27987 54501 83961 163503 251883 261823 345173 490509 785469 1035519 2356407 3106557 4974637 7069221 9319671 9687451 14923911 29062353 44771733 87187059 128555093 134315199 184061569 261561177 385665279 552184707 1156995837 1656554121 2442546767 3470987511 4756538441 4969662363 7327640301 14269615323 21982920903 42808845969 65948762709 90374230379 128426537907 271122691137 813368073411 2440104220233