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444014124021 = 3213341599283
BaseRepresentation
bin1100111011000010100…
…11011101101111110101
31120110002002220112110100
412131201103131233311
524233320103432041
6535551031344313
744036040532206
oct6354123355765
91513062815410
10444014124021
1116133a441206
1272077522099
1332b41219000
14176c191d5ad
15b83a9e56b6
hex67614ddbf5

444014124021 has 96 divisors (see below), whose sum is σ = 723862339200. Its totient is φ = 262028632320.

The previous prime is 444014124019. The next prime is 444014124041. The reversal of 444014124021 is 120421410444.

It is a happy number.

It is not a de Polignac number, because 444014124021 - 21 = 444014124019 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444014124041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47826246 + ... + 47835528.

It is an arithmetic number, because the mean of its divisors is an integer number (7540232700).

Almost surely, 2444014124021 is an apocalyptic number.

444014124021 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444014124021 is a deficient number, since it is larger than the sum of its proper divisors (279848215179).

444014124021 is a wasteful number, since it uses less digits than its factorization.

444014124021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 444014124021 its reverse (120421410444), we get a palindrome (564435534465).

The spelling of 444014124021 in words is "four hundred forty-four billion, fourteen million, one hundred twenty-four thousand, twenty-one".

Divisors: 1 3 9 13 39 41 59 117 123 169 177 369 507 531 533 767 1521 1599 2197 2301 2419 4797 6591 6903 6929 7257 9283 9971 19773 20787 21771 27849 29913 31447 62361 83547 89739 90077 94341 120679 129623 270231 283023 362037 380603 388869 408811 547697 810693 1086111 1141809 1166607 1226433 1568827 1643091 3425427 3679299 4706481 4929273 4947839 5314543 7120061 14119443 14843517 15943629 20394751 21360183 22455577 44530551 47830887 61184253 64080549 64321907 67366731 92560793 183552759 192965721 202100193 277682379 291922501 578897163 833047137 836184791 875767503 1203290309 2508554373 2627302509 3609870927 3794992513 7525663119 10829612781 11384977539 34154932617 49334902669 148004708007 444014124021