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444457653121 = 1954742765097
BaseRepresentation
bin1100111011110111011…
…11011001001110000001
31120111020000111011000001
412131323233121032001
524240222124344441
6540103034000001
744053034501026
oct6357357311601
91514200434001
10444457653121
11161547838189
127217bb76001
1332bb208b571
14177247b554d
15b864906731
hex677bbd9381

444457653121 has 8 divisors (see below), whose sum is σ = 468705474080. Its totient is φ = 420295363488.

The previous prime is 444457653109. The next prime is 444457653187. The reversal of 444457653121 is 121356754444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444457653121 - 29 = 444457652609 is a prime.

It is a super-2 number, since 2×4444576531212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444457653721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21372156 + ... + 21392941.

It is an arithmetic number, because the mean of its divisors is an integer number (58588184260).

Almost surely, 2444457653121 is an apocalyptic number.

It is an amenable number.

444457653121 is a deficient number, since it is larger than the sum of its proper divisors (24247820959).

444457653121 is a wasteful number, since it uses less digits than its factorization.

444457653121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42765663.

The product of its digits is 1612800, while the sum is 46.

The spelling of 444457653121 in words is "four hundred forty-four billion, four hundred fifty-seven million, six hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 19 547 10393 42765097 812536843 23392508059 444457653121