Search a number
-
+
41044300024 = 23721328332843
BaseRepresentation
bin100110001110011011…
…100101000011111000
310220221110002110211011
4212032123211003320
51133024320100044
630504441443304
72652054536200
oct461633450370
9126843073734
1041044300024
111645248a112
127b557a0534
133b41530580
141db516b400
151103519134
hex98e6e50f8

41044300024 has 96 divisors (see below), whose sum is σ = 96476955120. Its totient is φ = 16225864704.

The previous prime is 41044300007. The next prime is 41044300057. The reversal of 41044300024 is 42000344014.

41044300024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41044299968 and 41044300004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14435547 + ... + 14438389.

Almost surely, 241044300024 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 41044300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48238477560).

41044300024 is an abundant number, since it is smaller than the sum of its proper divisors (55432655096).

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

41044300024 is a wasteful number, since it uses less digits than its factorization.

41044300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 41044300024 its reverse (42000344014), we get a palindrome (83044644038).

The spelling of 41044300024 in words is "forty-one billion, forty-four million, three hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 2833 2843 5096 5666 5686 11332 11372 19831 19901 22664 22744 36829 36959 39662 39802 73658 73918 79324 79604 138817 139307 147316 147836 158648 159208 257803 258713 277634 278614 294632 295672 515606 517426 555268 557228 1031212 1034852 1110536 1114456 1804621 1810991 2062424 2069704 3609242 3621982 7218484 7243964 8054219 14436968 14487928 16108438 32216876 56379533 64433752 104704847 112759066 209409694 225518132 394656731 418819388 451036264 732933929 789313462 837638776 1465867858 1578626924 2931735716 3157253848 5130537503 5863471432 10261075006 20522150012 41044300024