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44626424130 = 23252325915887
BaseRepresentation
bin101001100011111100…
…010011000101000010
311021012002111020022100
4221203330103011002
51212343331033010
632300123051230
73136612226541
oct514374230502
9137162436270
1044626424130
1117a204a8a62
128795370b16
1342926c2032
142234bc6158
151262c492c0
hexa63f13142

44626424130 has 144 divisors (see below), whose sum is σ = 123356338560. Its totient is φ = 11189335872.

The previous prime is 44626424113. The next prime is 44626424191. The reversal of 44626424130 is 3142462644.

44626424130 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 642 + 4 + 1 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2801047 + ... + 2816933.

It is an arithmetic number, because the mean of its divisors is an integer number (856641240).

Almost surely, 244626424130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44626424130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61678169280).

44626424130 is an abundant number, since it is smaller than the sum of its proper divisors (78729914430).

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

44626424130 is a wasteful number, since it uses less digits than its factorization.

44626424130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 15979 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44626424130 its reverse (3142462644), we get a palindrome (47768886774).

The spelling of 44626424130 in words is "forty-four billion, six hundred twenty-six million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 59 69 90 115 118 138 177 207 230 295 345 354 414 529 531 590 690 885 1035 1058 1062 1357 1587 1770 2070 2645 2655 2714 3174 4071 4761 5290 5310 6785 7935 8142 9522 12213 13570 15870 15887 20355 23805 24426 31211 31774 40710 47610 47661 61065 62422 79435 93633 95322 122130 142983 156055 158870 187266 238305 280899 285966 312110 365401 468165 476610 561798 714915 730802 936330 937333 1096203 1404495 1429830 1827005 1874666 2192406 2808990 2811999 3288609 3654010 4686665 5481015 5623998 6577218 8404223 8435997 9373330 10962030 14059995 16443045 16808446 16871994 21558659 25212669 28119990 32886090 42021115 42179985 43117318 50425338 64675977 75638007 84042230 84359970 107793295 126063345 129351954 151276014 194027931 215586590 252126690 323379885 378190035 388055862 495849157 646759770 756380070 970139655 991698314 1487547471 1940279310 2479245785 2975094942 4462642413 4958491570 7437737355 8925284826 14875474710 22313212065 44626424130