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44224133031 = 3513194117971
BaseRepresentation
bin101001001011111101…
…101011011110100111
311020011001111201200000
4221023331223132213
51211032334224111
632152152352343
73123625633311
oct511375533647
9136131451600
1044224133031
1117834408781
1286a26a56b3
13422a25a970
1421d75c67b1
15123c781c56
hexa4bf6b7a7

44224133031 has 96 divisors (see below), whose sum is σ = 76931662080. Its totient is φ = 25152249600.

The previous prime is 44224132991. The next prime is 44224133053. The reversal of 44224133031 is 13033142244.

It is not a de Polignac number, because 44224133031 - 27 = 44224132903 is a prime.

It is a super-2 number, since 2×442241330312 (a number of 22 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 = 44224132986 and 44224133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44224133231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2451876 + ... + 2469846.

It is an arithmetic number, because the mean of its divisors is an integer number (801371480).

Almost surely, 244224133031 is an apocalyptic number.

44224133031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

44224133031 is a deficient number, since it is larger than the sum of its proper divisors (32707529049).

44224133031 is a wasteful number, since it uses less digits than its factorization.

44224133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18059 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 44224133031 its reverse (13033142244), we get a palindrome (57257275275).

The spelling of 44224133031 in words is "forty-four billion, two hundred twenty-four million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 13 19 27 39 41 57 81 117 123 171 243 247 351 369 513 533 741 779 1053 1107 1539 1599 2223 2337 3159 3321 4617 4797 6669 7011 9963 10127 14391 17971 20007 21033 30381 43173 53913 60021 63099 91143 129519 161739 189297 233623 273429 341449 485217 700869 736811 820287 1024347 1455651 2102607 2210433 2460861 3073041 4366953 4438837 6307821 6631299 9219123 9578543 13316511 13999409 18923463 19893897 27657369 28735629 39949533 41998227 56770389 59681691 82972107 86206887 119848599 125994681 179045073 181992317 258620661 359545797 377984043 545976951 775861983 1078637391 1133952129 1637930853 2327585949 3401856387 4913792559 14741377677 44224133031