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14141451024 = 2432198362273
BaseRepresentation
bin11010010101110010…
…10110101100010000
31100111112122010220100
431022321112230100
5212430202413044
610255124212400
71010303231121
oct151271265420
940445563810
1014141451024
115aa7531508
1228a7b3a100
131444a067cc
149821b8048
1557b774869
hex34ae56b10

14141451024 has 120 divisors (see below), whose sum is σ = 42161988960. Its totient is φ = 4411846656.

The previous prime is 14141451019. The next prime is 14141451053. The reversal of 14141451024 is 42015414141.

It is a happy number.

14141451024 is a `hidden beast` number, since 1 + 4 + 141 + 4 + 510 + 2 + 4 = 666.

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, 195952 + ... + 258224.

It is an arithmetic number, because the mean of its divisors is an integer number (351349908).

Almost surely, 214141451024 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 14141451024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080994480).

14141451024 is an abundant number, since it is smaller than the sum of its proper divisors (28020537936).

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

14141451024 is a wasteful number, since it uses less digits than its factorization.

14141451024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62389 (or 62380 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14141451024 its reverse (42015414141), we get a palindrome (56156865165).

The spelling of 14141451024 in words is "fourteen billion, one hundred forty-one million, four hundred fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 684 747 912 996 1328 1368 1494 1577 1992 2736 2988 3154 3984 4731 5976 6308 9462 11952 12616 14193 18924 25232 28386 37848 56772 62273 75696 113544 124546 186819 227088 249092 373638 498184 560457 747276 996368 1120914 1183187 1494552 2241828 2366374 2989104 3549561 4483656 4732748 5168659 7099122 8967312 9465496 10337318 10648683 14198244 15505977 18930992 20674636 21297366 28396488 31011954 41349272 42594732 46517931 56792976 62023908 82698544 85189464 93035862 98204521 124047816 170378928 186071724 196409042 248095632 294613563 372143448 392818084 589227126 744286896 785636168 883840689 1178454252 1571272336 1767681378 2356908504 3535362756 4713817008 7070725512 14141451024