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4404340434044 = 2215125166143951
BaseRepresentation
bin100000000010111011100…
…1001011010010001111100
3120121001101001112222002102
41000011313021122101330
51034130042122342134
613211154232444232
7633126442663565
oct100056711322174
916531331488072
104404340434044
111448963399341
125b1710849678
1325c434742535
14113257b5316c
157987897337e
hex4017725a47c

4404340434044 has 48 divisors (see below), whose sum is σ = 7801512348672. Its totient is φ = 2175525000000.

The previous prime is 4404340434031. The next prime is 4404340434103.

4404340434044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4404340433989 and 4404340434007.

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 15 ways as a sum of consecutive naturals, for example, 100188269 + ... + 100232219.

It is an arithmetic number, because the mean of its divisors is an integer number (162531507264).

Almost surely, 24404340434044 is an apocalyptic number.

It is an amenable number.

4404340434044 is a deficient number, since it is larger than the sum of its proper divisors (3397171914628).

4404340434044 is a wasteful number, since it uses less digits than its factorization.

4404340434044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45018 (or 45016 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 4404340 and 434044, that added together give a palindrome (4838384).

The spelling of 4404340434044 in words is "four trillion, four hundred four billion, three hundred forty million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 4 151 251 302 502 604 661 1004 1322 2644 37901 43951 75802 87902 99811 151604 165911 175804 199622 331822 399244 663644 6636601 11031701 13273202 22063402 25052561 26546404 29051611 44126804 50105122 58103222 100210244 116206444 1665786851 3331573702 4386793261 6663147404 7291954361 8773586522 14583908722 17547173044 29167817444 1101085108511 2202170217022 4404340434044