Search a number
-
+
4404134314044 = 2232907134880997
BaseRepresentation
bin100000000010110101011…
…0111001000000000111100
3120121000211200200222121100
41000011222313020000330
51034124131341022134
613211121550533100
7633121360666623
oct100055267100074
916530750628540
104404134314044
111448868006333
125b1673807190
1325c400b2473a
1411323861a6ba
157986580a999
hex4016adc803c

4404134314044 has 36 divisors (see below), whose sum is σ = 11144947102744. Its totient is φ = 1466426188512.

The previous prime is 4404134314039. The next prime is 4404134314049.

4404134314044 is a `hidden beast` number, since 440 + 4 + 1 + 34 + 3 + 140 + 44 = 666.

4404134314044 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4404134314039) and next prime (4404134314049).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44041343140442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404134314049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67407847 + ... + 67473150.

Almost surely, 24404134314044 is an apocalyptic number.

It is an amenable number.

4404134314044 is an abundant number, since it is smaller than the sum of its proper divisors (6740812788700).

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

4404134314044 is a wasteful number, since it uses less digits than its factorization.

4404134314044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134881914 (or 134881909 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4404134314044 in words is "four trillion, four hundred four billion, one hundred thirty-four million, three hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 907 1814 2721 3628 5442 8163 10884 16326 32652 134880997 269761994 404642991 539523988 809285982 1213928973 1618571964 2427857946 4855715892 122337064279 244674128558 367011192837 489348257116 734022385674 1101033578511 1468044771348 2202067157022 4404134314044