Search a number
-
+
44243032224 = 2531017735903
BaseRepresentation
bin101001001101000101…
…110001100010100000
311020012101001220111010
4221031011301202200
51211102204012344
632154105420520
73124245366066
oct511505614240
9136171056433
1044243032224
1117844046a46
1286a8a9a740
134231147011
1421d9d06036
15123e2668b9
hexa4d1718a0

44243032224 has 96 divisors (see below), whose sum is σ = 117459465984. Its totient is φ = 14580300800.

The previous prime is 44243032189. The next prime is 44243032247. The reversal of 44243032224 is 42223034244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44243032191 and 44243032200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7492057 + ... + 7497959.

It is an arithmetic number, because the mean of its divisors is an integer number (1223536104).

Almost surely, 244243032224 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 44243032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58729732992).

44243032224 is an abundant number, since it is smaller than the sum of its proper divisors (73216433760).

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

44243032224 is a wasteful number, since it uses less digits than its factorization.

44243032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 44243032224 its reverse (42223034244), we get a palindrome (86466066468).

The spelling of 44243032224 in words is "forty-four billion, two hundred forty-three million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 773 808 1212 1546 1616 2319 2424 3092 3232 4638 4848 5903 6184 9276 9696 11806 12368 17709 18552 23612 24736 35418 37104 47224 70836 74208 78073 94448 141672 156146 188896 234219 283344 312292 468438 566688 596203 624584 936876 1192406 1249168 1788609 1873752 2384812 2498336 3577218 3747504 4563019 4769624 7154436 7495008 9126038 9539248 13689057 14308872 18252076 19078496 27378114 28617744 36504152 54756228 57235488 73008304 109512456 146016608 219024912 438049824 460864919 921729838 1382594757 1843459676 2765189514 3686919352 5530379028 7373838704 11060758056 14747677408 22121516112 44243032224