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24414204012 = 223115912972417
BaseRepresentation
bin10110101111001100…
…110011000001101100
32100000110122001210020
4112233030303001230
5400000014012022
615114333042140
71523002211232
oct265714630154
970013561706
1024414204012
11a3991aa910
124894326350
1323c1071b83
14127865a952
1597d55d35c
hex5af33306c

24414204012 has 96 divisors (see below), whose sum is σ = 63273450240. Its totient is φ = 7264235520.

The previous prime is 24414203981. The next prime is 24414204049. The reversal of 24414204012 is 21040241442.

It is a super-3 number, since 3×244142040123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10099828 + ... + 10102244.

It is an arithmetic number, because the mean of its divisors is an integer number (659098440).

Almost surely, 224414204012 is an apocalyptic number.

24414204012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24414204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31636725120).

24414204012 is an abundant number, since it is smaller than the sum of its proper divisors (38859246228).

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

24414204012 is a wasteful number, since it uses less digits than its factorization.

24414204012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 24414204012 its reverse (21040241442), we get a palindrome (45454445454).

The spelling of 24414204012 in words is "twenty-four billion, four hundred fourteen million, two hundred four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1297 1298 1947 2417 2594 2596 3891 3894 4834 5188 7251 7782 7788 9668 14267 14502 15564 26587 28534 29004 42801 53174 57068 76523 79761 85602 106348 142603 153046 159522 171204 229569 285206 306092 319044 427809 459138 570412 841753 855618 918276 1568633 1683506 1711236 2525259 3134849 3137266 3367012 4705899 5050518 6269698 6274532 9404547 9411798 10101036 12539396 18809094 18823596 34483339 37618188 68966678 103450017 137933356 184956091 206900034 369912182 413800068 554868273 739824364 1109736546 2034517001 2219473092 4069034002 6103551003 8138068004 12207102006 24414204012