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1444047684681 = 374758713071907
BaseRepresentation
bin10101000000110111111…
…100110000010001001001
312010001100011111000111210
4111000313330300101021
5142124402201402211
63023215241243333
7206220563536560
oct25006774602111
95101304430453
101444047684681
115074652a9788
121b3a48793549
13a6233435414
144dc6c5c0bd7
152786a18a9a6
hex15037f30449

1444047684681 has 64 divisors (see below), whose sum is σ = 2254003863552. Its totient is φ = 805198147392.

The previous prime is 1444047684659. The next prime is 1444047684707. The reversal of 1444047684681 is 1864867404441.

It is a happy number.

It is not a de Polignac number, because 1444047684681 - 217 = 1444047553609 is a prime.

It is a super-2 number, since 2×14440476846812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444047689681) 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, 757234330 + ... + 757236236.

It is an arithmetic number, because the mean of its divisors is an integer number (35218810368).

Almost surely, 21444047684681 is an apocalyptic number.

It is an amenable number.

1444047684681 is a deficient number, since it is larger than the sum of its proper divisors (809956178871).

1444047684681 is a wasteful number, since it uses less digits than its factorization.

1444047684681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858.

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 1444047684681 in words is "one trillion, four hundred forty-four billion, forty-seven million, six hundred eighty-four thousand, six hundred eighty-one".

Divisors: 1 3 7 21 47 141 329 587 987 1307 1761 1907 3921 4109 5721 9149 12327 13349 27447 27589 40047 61429 82767 89629 184287 193123 268887 430003 579369 627403 767209 1119409 1290009 1882209 2301627 2492449 3358227 5370463 7477347 7835863 16111389 17447143 23507589 36058823 52341429 52612223 108176469 117145103 157836669 252411761 351435309 368285561 757235283 820015721 1104856683 1463067563 2460047163 4389202689 10241472941 30724418823 68764175461 206292526383 481349228227 1444047684681