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4441124021031 = 331132934968017
BaseRepresentation
bin100000010100000011110…
…0111101010001100100111
3120201120022120100210102000
41000220013213222030213
51040230410222133111
613240120232420343
7635601123215145
oct100500747521447
916646276323360
104441124021031
111462519803705
125b88775476b3
13262a4732a719
14114d470a2595
157a7ccdb8c56
hex40a079ea327

4441124021031 has 32 divisors (see below), whose sum is σ = 6660323651520. Its totient is φ = 2924531914752.

The previous prime is 4441124021027. The next prime is 4441124021057. The reversal of 4441124021031 is 1301204211444.

4441124021031 is a `hidden beast` number, since 4 + 4 + 411 + 2 + 4 + 0 + 210 + 31 = 666.

It is not a de Polignac number, because 4441124021031 - 22 = 4441124021027 is a prime.

It is a super-2 number, since 2×44411240210312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4441124020986 and 4441124021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441124023031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590066 + ... + 3377951.

It is an arithmetic number, because the mean of its divisors is an integer number (208135114110).

Almost surely, 24441124021031 is an apocalyptic number.

4441124021031 is a deficient number, since it is larger than the sum of its proper divisors (2219199630489).

4441124021031 is a wasteful number, since it uses less digits than its factorization.

4441124021031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968432 (or 4968426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4441124021031 its reverse (1301204211444), we get a palindrome (5742328232475).

The spelling of 4441124021031 in words is "four trillion, four hundred forty-one billion, one hundred twenty-four million, twenty-one thousand, thirty-one".

Divisors: 1 3 9 27 113 293 339 879 1017 2637 3051 7911 33109 99327 297981 893943 4968017 14904051 44712153 134136459 561385921 1455628981 1684157763 4366886943 5052473289 13100660829 15157419867 39301982487 164486074853 493458224559 1480374673677 4441124021031