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1130424413144 = 2313235935322691
BaseRepresentation
bin10000011100110010100…
…010111010101111011000
311000001211012222002111012
4100130302202322233120
5122010102122210034
62223150530153052
7144445653654335
oct20346242725730
94001735862435
101130424413144
113a6457124994
12163100a22788
13827a207b9c0
143c9da02d98c
151e6119b1cce
hex107328babd8

1130424413144 has 128 divisors (see below), whose sum is σ = 2429169523200. Its totient is φ = 489180426240.

The previous prime is 1130424413093. The next prime is 1130424413147. The reversal of 1130424413144 is 4413144240311.

It is a super-3 number, since 3×11304244131443 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130424413144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130424413147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49806839 + ... + 49829529.

It is an arithmetic number, because the mean of its divisors is an integer number (18977886900).

Almost surely, 21130424413144 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 1130424413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214584761600).

1130424413144 is an abundant number, since it is smaller than the sum of its proper divisors (1298745110056).

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

1130424413144 is a wasteful number, since it uses less digits than its factorization.

1130424413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23145 (or 23141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1130424413144 its reverse (4413144240311), we get a palindrome (5543568653455).

The spelling of 1130424413144 in words is "one trillion, one hundred thirty billion, four hundred twenty-four million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 59 92 104 118 184 236 299 353 472 598 706 767 1196 1357 1412 1534 2392 2714 2824 3068 4589 5428 6136 8119 9178 10856 16238 17641 18356 20827 22691 32476 35282 36712 41654 45382 64952 70564 83308 90764 105547 141128 166616 181528 211094 270751 294983 422188 479021 521893 541502 589966 844376 958042 1043786 1083004 1179932 1338769 1916084 2087572 2166008 2359864 2677538 3832168 4175144 5355076 6227273 6784609 8009923 10710152 12454546 13569218 16019846 17403997 24909092 27138436 30791687 32039692 34807994 49818184 54276872 61583374 64079384 69615988 104128999 123166748 139231976 184228229 208257998 246333496 368456458 400291931 416515996 472585457 736912916 800583862 833031992 945170914 1473825832 1601167724 1890341828 2394966977 3202335448 3780683656 4789933954 6143610941 9579867908 10869465511 12287221882 19159735816 21738931022 24574443764 43477862044 49148887528 86955724088 141303051643 282606103286 565212206572 1130424413144