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44120003240 = 23537412712683
BaseRepresentation
bin101001000101110000…
…011101001010101000
311012212210120101110002
4221011300131022220
51210324210100430
632133552442132
73121222561025
oct510560351250
9135783511402
1044120003240
11177906564a5
128673849348
1342117cc4c1
1421c783c54c
151233563845
hexa45c1d2a8

44120003240 has 128 divisors (see below), whose sum is σ = 104864094720. Its totient is φ = 16684185600.

The previous prime is 44120003177. The next prime is 44120003251. The reversal of 44120003240 is 4230002144.

It is a super-2 number, since 2×441200032402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16442939 + ... + 16445621.

It is an arithmetic number, because the mean of its divisors is an integer number (819250740).

Almost surely, 244120003240 is an apocalyptic number.

44120003240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44120003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52432047360).

44120003240 is an abundant number, since it is smaller than the sum of its proper divisors (60744091480).

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

44120003240 is a wasteful number, since it uses less digits than its factorization.

44120003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44120003240 its reverse (4230002144), we get a palindrome (48350005384).

The spelling of 44120003240 in words is "forty-four billion, one hundred twenty million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 271 296 328 370 410 542 740 820 1084 1355 1480 1517 1640 2168 2683 2710 3034 5366 5420 6068 7585 10027 10732 10840 11111 12136 13415 15170 20054 21464 22222 26830 30340 40108 44444 50135 53660 55555 60680 80216 88888 99271 100270 107320 110003 111110 198542 200540 220006 222220 397084 401080 411107 440012 444440 496355 550015 727093 794168 822214 880024 992710 1100030 1454186 1644428 1985420 2055535 2200060 2908372 3288856 3635465 3970840 4070111 4111070 4400120 5816744 7270930 8140222 8222140 14541860 16280444 16444280 20350555 26902441 29083720 29810813 32560888 40701110 53804882 59621626 81402220 107609764 119243252 134512205 149054065 162804440 215219528 238486504 269024410 298108130 538048820 596216260 1076097640 1103000081 1192432520 2206000162 4412000324 5515000405 8824000648 11030000810 22060001620 44120003240