Search a number
-
+
44513024136 = 23372192104851
BaseRepresentation
bin101001011101001011…
…101101100010001000
311020220012002220202120
4221131023231202020
51212130313233021
632240552331240
73134034314400
oct513513554210
9136805086676
1044513024136
1117972494959
1287633a3b20
134275069249
142223b07800
151257ce92c6
hexa5d2ed888

44513024136 has 144 divisors (see below), whose sum is σ = 136624253040. Its totient is φ = 12048523200.

The previous prime is 44513024123. The next prime is 44513024137. The reversal of 44513024136 is 63142031544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44513024097 and 44513024106.

It is not an unprimeable number, because it can be changed into a prime (44513024137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372111 + ... + 476961.

It is an arithmetic number, because the mean of its divisors is an integer number (948779535).

Almost surely, 244513024136 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 44513024136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68312126520).

44513024136 is an abundant number, since it is smaller than the sum of its proper divisors (92111228904).

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

44513024136 is a wasteful number, since it uses less digits than its factorization.

44513024136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104912 (or 104882 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 44513024136 in words is "forty-four billion, five hundred thirteen million, twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 361 392 399 456 532 588 722 798 931 1064 1083 1176 1444 1596 1862 2166 2527 2793 2888 3192 3724 4332 5054 5586 7448 7581 8664 10108 11172 15162 17689 20216 22344 30324 35378 53067 60648 70756 104851 106134 141512 209702 212268 314553 419404 424536 629106 733957 838808 1258212 1467914 1992169 2201871 2516424 2935828 3984338 4403742 5137699 5871656 5976507 7968676 8807484 10275398 11953014 13945183 15413097 15937352 17614968 20550796 23906028 27890366 30826194 37851211 41101592 41835549 47812056 55780732 61652388 75702422 83671098 97616281 111561464 113553633 123304776 151404844 167342196 195232562 227107266 264958477 292848843 302809688 334684392 390465124 454214532 529916954 585697686 780930248 794875431 908429064 1059833908 1171395372 1589750862 1854709339 2119667816 2342790744 3179501724 3709418678 5564128017 6359003448 7418837356 11128256034 14837674712 22256512068 44513024136