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4434656445331 = 7172319737921701
BaseRepresentation
bin100000010001000011000…
…0111110100001110010011
3120200221121211110220110021
41000202012013310032103
51040124134022222311
613233130354044311
7635251630556260
oct100420607641623
916627554426407
104434656445331
11145a7aaa52322
125b7571579697
13262256420158
141148d213c267
157a5501c0171
hex408861f4393

4434656445331 has 64 divisors (see below), whose sum is σ = 5643158906880. Its totient is φ = 3395482675200.

The previous prime is 4434656445319. The next prime is 4434656445347. The reversal of 4434656445331 is 1335446564344.

It is a happy number.

It is not a de Polignac number, because 4434656445331 - 27 = 4434656445203 is a prime.

It is a super-2 number, since 2×44346564453312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4434656443331) 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, 204341781 + ... + 204363481.

It is an arithmetic number, because the mean of its divisors is an integer number (88174357920).

Almost surely, 24434656445331 is an apocalyptic number.

4434656445331 is a deficient number, since it is larger than the sum of its proper divisors (1208502461549).

4434656445331 is a wasteful number, since it uses less digits than its factorization.

4434656445331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22324.

The product of its digits is 24883200, while the sum is 52.

The spelling of 4434656445331 in words is "four trillion, four hundred thirty-four billion, six hundred fifty-six million, four hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 7 17 23 119 161 197 379 391 1379 2653 2737 3349 4531 6443 8717 21701 23443 31717 45101 61019 74663 77027 148189 151907 368917 499123 522641 539189 1037323 1269271 1717249 2582419 3493861 4275097 8224679 8485091 8884897 12020743 29193233 29925679 57572753 59395637 72676649 98327231 139819543 189167617 204352631 508736543 688290617 978736801 1324173319 1620261763 1671562927 3215849489 11341832341 11700940489 22510946423 27544449971 37266020549 192811149797 260862143843 633522349333 4434656445331