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4334414040231 = 3111943160766071
BaseRepresentation
bin111111000100101111001…
…101011000110010100111
3120100100212202201002220220
4333010233031120302213
51032003334443241411
613115111411255423
7625102551310332
oct77045715306247
916310782632826
104334414040231
11142123a800730
125a00565aa573
1325596c629c52
1410db02c1b619
1577b34a51b06
hex3f12f358ca7

4334414040231 has 32 divisors (see below), whose sum is σ = 6790758881280. Its totient is φ = 2430782978400.

The previous prime is 4334414040199. The next prime is 4334414040247. The reversal of 4334414040231 is 1320404144334.

It is not a de Polignac number, because 4334414040231 - 25 = 4334414040199 is a prime.

It is a super-2 number, since 2×43344140402312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4334414040192 and 4334414040201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334414040251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80356075 + ... + 80409996.

It is an arithmetic number, because the mean of its divisors is an integer number (212211215040).

Almost surely, 24334414040231 is an apocalyptic number.

4334414040231 is a deficient number, since it is larger than the sum of its proper divisors (2456344841049).

4334414040231 is a wasteful number, since it uses less digits than its factorization.

4334414040231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160766147.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4334414040231 its reverse (1320404144334), we get a palindrome (5654818184565).

The spelling of 4334414040231 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, forty thousand, two hundred thirty-one".

Divisors: 1 3 11 19 33 43 57 129 209 473 627 817 1419 2451 8987 26961 160766071 482298213 1768426781 3054555349 5305280343 6912941053 9163666047 20738823159 33600108839 76042351583 100800326517 131345880007 228127054749 394037640021 1444804680077 4334414040231