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1044430441329 = 311313113978269
BaseRepresentation
bin11110011001011001110…
…01111100101101110001
310200211212011010200221010
433030230321330231301
5114102443143110304
62115445453021133
7135312650162262
oct17145471745561
93624764120833
101044430441329
11372a388350a0
1214a5017847a9
13776491abc02
143879d1b4969
151c27c19b789
hexf32ce7cb71

1044430441329 has 64 divisors (see below), whose sum is σ = 1577372958720. Its totient is φ = 608987808000.

The previous prime is 1044430441303. The next prime is 1044430441331. The reversal of 1044430441329 is 9231440344401.

It is not a de Polignac number, because 1044430441329 - 25 = 1044430441297 is a prime.

It is a super-2 number, since 2×10444304413292 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1044430441729) 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, 126302607 + ... + 126310875.

It is an arithmetic number, because the mean of its divisors is an integer number (24646452480).

Almost surely, 21044430441329 is an apocalyptic number.

It is an amenable number.

1044430441329 is a deficient number, since it is larger than the sum of its proper divisors (532942517391).

1044430441329 is a wasteful number, since it uses less digits than its factorization.

1044430441329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 1044430441329 in words is "one trillion, forty-four billion, four hundred thirty million, four hundred forty-one thousand, three hundred twenty-nine".

Divisors: 1 3 11 31 33 93 311 341 397 933 1023 1191 3421 4367 8269 9641 10263 12307 13101 24807 28923 36921 90959 106051 123467 135377 256339 272877 318153 370401 406131 769017 1358137 2571659 2819729 3282793 3827477 4074411 7714977 8459187 9848379 11482431 28288249 36110723 42102247 79721429 84864747 101766583 108332169 126306741 239164287 305299749 876935719 1020948623 1119432413 2630807157 3062845869 3358297239 11230434853 31649407313 33691304559 94948221939 348143480443 1044430441329