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4430132030044 = 2272307140952253
BaseRepresentation
bin100000001110111100001…
…1100100010101001011100
3120200111221111222210110201
41000131320130202221130
51040040402244430134
613231101412113244
7635031541640200
oct100357034425134
916614844883421
104430132030044
111458899046136
125b670a305824
132619b4c78646
141145c32b8b00
157a387dac914
hex40778722a5c

4430132030044 has 72 divisors (see below), whose sum is σ = 9054453980880. Its totient is φ = 1891064254464.

The previous prime is 4430132030011. The next prime is 4430132030063. The reversal of 4430132030044 is 4400302310344.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4430132029994 and 4430132030021.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 84756222 + ... + 84808474.

It is an arithmetic number, because the mean of its divisors is an integer number (125756305290).

Almost surely, 24430132030044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430132030044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527226990440).

4430132030044 is an abundant number, since it is smaller than the sum of its proper divisors (4624321950836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4430132030044 is a wasteful number, since it uses less digits than its factorization.

4430132030044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53987 (or 53978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4430132030044 its reverse (4400302310344), we get a palindrome (8830434340388).

The spelling of 4430132030044 in words is "four trillion, four hundred thirty billion, one hundred thirty-two million, thirty thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 307 614 1228 1409 2149 2818 4298 5636 8596 9863 15043 19726 30086 39452 52253 60172 69041 104506 138082 209012 276164 365771 432563 731542 865126 1463084 1730252 2560397 3027941 5120794 6055882 10241588 12111764 16041671 21195587 32083342 42391174 64166684 73624477 84782348 112291697 147248954 224583394 294497908 449166788 515371339 786041879 1030742678 1572083758 2061485356 3144167516 3607599373 7215198746 14430397492 22602714439 45205428878 90410857756 158219001073 316438002146 632876004292 1107533007511 2215066015022 4430132030044