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4400144410044 = 223811983945953
BaseRepresentation
bin100000000000111110100…
…0010110110010110111100
3120120122112121222212021010
41000001331002312112330
51034042443432110134
613205222021235220
7632620452242505
oct100017502662674
916518477885233
104400144410044
1114470aa898409
125b093b562b10
1325bc163294b6
14112d7a773bac
15796d03cbce9
hex4007d0b65bc

4400144410044 has 48 divisors (see below), whose sum is σ = 10280931816960. Its totient is φ = 1464725514240.

The previous prime is 4400144410037. The next prime is 4400144410049.

4400144410044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44001444100442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4400144409993 and 4400144410020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400144410049) 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 15 ways as a sum of consecutive naturals, for example, 95730172 + ... + 95776124.

It is an arithmetic number, because the mean of its divisors is an integer number (214186079520).

Almost surely, 24400144410044 is an apocalyptic number.

It is an amenable number.

4400144410044 is an abundant number, since it is smaller than the sum of its proper divisors (5880787406916).

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

4400144410044 is a wasteful number, since it uses less digits than its factorization.

4400144410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56610 (or 56608 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 4400144410044 in words is "four trillion, four hundred billion, one hundred forty-four million, four hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 811 1622 2433 3244 4866 9732 9839 19678 29517 39356 45953 59034 91906 118068 137859 183812 275718 551436 7979429 15958858 23938287 31917716 37267883 47876574 74535766 95753148 111803649 149071532 223607298 447214596 452131567 904263134 1356394701 1808526268 2712789402 5425578804 366678700837 733357401674 1100036102511 1466714803348 2200072205022 4400144410044