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12241143414 = 2331931409941
BaseRepresentation
bin10110110011010000…
…10000011001110110
31011121002212111221000
423121220100121312
5200032213042124
65342402104130
7612230000523
oct133150203166
934532774830
1012241143414
115211896255
12245764b046
1312010c5c36
14841a7014a
154b9a056c9
hex2d9a10676

12241143414 has 128 divisors (see below), whose sum is σ = 29661696000. Its totient is φ = 3727814400.

The previous prime is 12241143371. The next prime is 12241143419. The reversal of 12241143414 is 41434114221.

12241143414 is a `hidden beast` number, since 1 + 2 + 241 + 1 + 4 + 3 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241143419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13008184 + ... + 13009124.

It is an arithmetic number, because the mean of its divisors is an integer number (231732000).

Almost surely, 212241143414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241143414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830848000).

12241143414 is an abundant number, since it is smaller than the sum of its proper divisors (17420552586).

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

12241143414 is a wasteful number, since it uses less digits than its factorization.

12241143414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12241143414 its reverse (41434114221), we get a palindrome (53675257635).

The spelling of 12241143414 in words is "twelve billion, two hundred forty-one million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 409 513 558 589 818 837 941 1026 1178 1227 1674 1767 1882 2454 2823 3534 3681 5301 5646 7362 7771 8469 10602 11043 12679 15542 15903 16938 17879 22086 23313 25358 25407 29171 31806 35758 38037 46626 50814 53637 58342 69939 76074 87513 107274 114111 139878 160911 175026 209817 228222 240901 262539 321822 342333 384869 419634 481802 482733 525078 554249 684666 722703 769738 787617 965466 1108498 1154607 1445406 1575234 1662747 2168109 2309214 3325494 3463821 4336218 4988241 6504327 6927642 7312511 9976482 10391463 11930939 13008654 14625022 14964723 20782926 21937533 23861878 29929446 35792817 43875066 65812599 71585634 107378451 131625198 197437797 214756902 226687841 322135353 394875594 453375682 644270706 680063523 1360127046 2040190569 4080381138 6120571707 12241143414