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4034220130233 = 35179859107971
BaseRepresentation
bin111010101101001010010…
…000011111111110111001
3112021200000201220102200000
4322231022100133332321
51012044040323131413
612325143430103213
7564314510213466
oct72551220377671
915250021812600
104034220130233
1113159a3100a37
12551a381aab09
1323356b596cc7
14dd38604066d
156ee1533d073
hex3ab4a41ffb9

4034220130233 has 48 divisors (see below), whose sum is σ = 6083919878400. Its totient is φ = 2671316865360.

The previous prime is 4034220130121. The next prime is 4034220130247. The reversal of 4034220130233 is 3320310224304.

4034220130233 is a `hidden beast` number, since 4 + 0 + 3 + 422 + 0 + 1 + 3 + 0 + 233 = 666.

It is not a de Polignac number, because 4034220130233 - 29 = 4034220129721 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 = 4034220130197 and 4034220130206.

It is not an unprimeable number, because it can be changed into a prime (4034220130273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37309938 + ... + 37417908.

It is an arithmetic number, because the mean of its divisors is an integer number (126748330800).

Almost surely, 24034220130233 is an apocalyptic number.

It is an amenable number.

4034220130233 is a deficient number, since it is larger than the sum of its proper divisors (2049699748167).

4034220130233 is a wasteful number, since it uses less digits than its factorization.

4034220130233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109024 (or 109012 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4034220130233 its reverse (3320310224304), we get a palindrome (7354530354537).

The spelling of 4034220130233 in words is "four trillion, thirty-four billion, two hundred twenty million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 179 243 537 859 1611 2577 4833 7731 14499 23193 43497 69579 107971 153761 208737 323913 461283 971739 1383849 2915217 4151547 8745651 12454641 19326809 26236953 37363923 57980427 92747089 173941281 278241267 521823843 834723801 1565471529 2504171403 4696414587 7512514209 16601728931 22537542627 49805186793 149415560379 448246681137 1344740043411 4034220130233