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7044114407 = 11173153101227
BaseRepresentation
bin1101000111101110…
…01010011111100111
3200011220202002101012
412203313022133213
5103411243130112
63122551452435
7336362661461
oct64367123747
920156662335
107044114407
112a95245460
12144708711b
138834b0445
144ab761131
152b3630022
hex1a3dca7e7

7044114407 has 64 divisors (see below), whose sum is σ = 8680255488. Its totient is φ = 5640960000.

The previous prime is 7044114391. The next prime is 7044114419.

7044114407 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7044114407 - 24 = 7044114391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7044114437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31031228 + ... + 31031454.

It is an arithmetic number, because the mean of its divisors is an integer number (135628992).

Almost surely, 27044114407 is an apocalyptic number.

7044114407 is a deficient number, since it is larger than the sum of its proper divisors (1636141081).

7044114407 is a wasteful number, since it uses less digits than its factorization.

7044114407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 7044114407 is about 83929.2226045255. Note that the first 3 decimals coincide. The cubic root of 7044114407 is about 1916.9412385102.

It can be divided in two parts, 70441 and 14407, that added together give a palindrome (84848).

The spelling of 7044114407 in words is "seven billion, forty-four million, one hundred fourteen thousand, four hundred seven".

Divisors: 1 11 17 31 53 101 187 227 341 527 583 901 1111 1643 1717 2497 3131 3859 5353 5797 7037 9911 12031 18073 18887 22927 27931 34441 42449 53227 58883 77407 91001 119629 132341 165943 204527 252197 307241 372961 389759 585497 710737 1001011 1215131 1315919 1825373 2249797 2821031 4102571 4287349 6340337 7818107 12082529 13366441 20657227 31031341 37669061 69743707 132907819 227229497 414359671 640374037 7044114407