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4434116114344 = 237615003259453
BaseRepresentation
bin100000010000110010111…
…1010100111011110101000
3120200220020011202020200111
41000201211322213132220
51040122032211124334
613233001012544104
7635232350045260
oct100414572473650
916626204666614
104434116114344
11145a552a49694
125b7440622034
1326219b4b6987
141148804887a0
157a51ca3c064
hex40865ea77a8

4434116114344 has 64 divisors (see below), whose sum is σ = 9659410151040. Its totient is φ = 1868801621760.

The previous prime is 4434116114293. The next prime is 4434116114357.

4434116114344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44341161143442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4434116114297 and 4434116114306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16960522 + ... + 17219974.

It is an arithmetic number, because the mean of its divisors is an integer number (150928283610).

Almost surely, 24434116114344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434116114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829705075520).

4434116114344 is an abundant number, since it is smaller than the sum of its proper divisors (5225294036696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4434116114344 is a wasteful number, since it uses less digits than its factorization.

4434116114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264530 (or 264526 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 4434116114344 in words is "four trillion, four hundred thirty-four billion, one hundred sixteen million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 5003 10006 20012 35021 40024 70042 140084 259453 280168 305183 518906 610366 1037812 1220732 1816171 2075624 2136281 2441464 3632342 4272562 7264684 8545124 14529368 15826633 17090248 31653266 63306532 110786431 126613064 221572862 443145724 886291448 1298043359 2596086718 5192173436 9086303513 10384346872 18172607026 36345214052 72690428104 79180644899 158361289798 316722579596 554264514293 633445159192 1108529028586 2217058057172 4434116114344