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24141140430012 = 223261233401117659
BaseRepresentation
bin1010111110100110011000…
…00110011000110010111100
310011110212111120202221012200
411133103030012120302330
511131012023422230022
6123202141541231500
75041065651626124
oct537231406306274
9104425446687180
1024141140430012
117768222461791
12285a86b102590
1310616660095c8
145d661a44dc84
152bce76c32bac
hex15f4cc198cbc

24141140430012 has 144 divisors (see below), whose sum is σ = 62445886644960. Its totient is φ = 7861436928000.

The previous prime is 24141140430007. The next prime is 24141140430019. The reversal of 24141140430012 is 21003404114142.

24141140430012 is a `hidden beast` number, since 2 + 41 + 41 + 140 + 430 + 0 + 12 = 666.

It is a super-2 number, since 2×241411404300122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24141140430019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205120039 + ... + 205237697.

It is an arithmetic number, because the mean of its divisors is an integer number (433651990590).

Almost surely, 224141140430012 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 24141140430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222943322480).

24141140430012 is an abundant number, since it is smaller than the sum of its proper divisors (38304746214948).

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

24141140430012 is a wasteful number, since it uses less digits than its factorization.

24141140430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118364 (or 118359 counting only the distinct ones).

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

Adding to 24141140430012 its reverse (21003404114142), we get a palindrome (45144544544154).

The spelling of 24141140430012 in words is "twenty-four trillion, one hundred forty-one billion, one hundred forty million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 233 244 366 401 466 549 699 732 802 932 1098 1203 1398 1604 2097 2196 2406 2796 3609 4194 4812 7218 8388 14213 14436 24461 28426 42639 48922 56852 73383 85278 93433 97844 117659 127917 146766 170556 186866 220149 235318 255834 280299 293532 352977 373732 440298 470636 511668 560598 705954 840897 880596 1058931 1121196 1411908 1681794 2117862 3363588 4235724 5699413 7177199 11398826 14354398 17098239 21531597 22797652 27414547 28708796 34196478 43063194 47181259 51294717 54829094 64594791 68392956 82243641 86126388 94362518 102589434 109658188 129189582 141543777 164487282 188725036 205178868 246730923 258379164 283087554 328974564 424631331 493461846 566175108 849262662 986923692 1672287367 1698525324 2878056799 3344574734 5016862101 5756113598 6689149468 8634170397 10033724202 10993233347 11512227196 15050586303 17268340794 20067448404 21986466694 25902511191 30101172606 32979700041 34536681588 43972933388 51805022382 60202345212 65959400082 98939100123 103610044764 131918800164 197878200246 395756400492 670587234167 1341174468334 2011761702501 2682348936668 4023523405002 6035285107503 8047046810004 12070570215006 24141140430012