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23124441312 = 2532729395533
BaseRepresentation
bin10101100010010100…
…101111100011100000
32012200120201022222100
4111202110233203200
5334324324110222
614342341010400
71446021336150
oct254224574340
965616638870
1023124441312
119897165025
1245943b3a00
132246aac78b
141195242760
159051e14ac
hex56252f8e0

23124441312 has 144 divisors (see below), whose sum is σ = 77746163040. Its totient is φ = 6379140096.

The previous prime is 23124441271. The next prime is 23124441323. The reversal of 23124441312 is 21314442132.

23124441312 is a `hidden beast` number, since 2 + 3 + 1 + 244 + 413 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 139303 + ... + 256230.

It is an arithmetic number, because the mean of its divisors is an integer number (539903910).

Almost surely, 223124441312 is an apocalyptic number.

It is an amenable number.

23124441312 is an abundant number, since it is smaller than the sum of its proper divisors (54621721728).

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

23124441312 is a wasteful number, since it uses less digits than its factorization.

23124441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395585 (or 395574 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 23124441312 its reverse (21314442132), we get a palindrome (44438883444).

The spelling of 23124441312 in words is "twenty-three billion, one hundred twenty-four million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 395533 791066 1186599 1582132 2373198 2768731 3164264 3559797 4746396 5537462 6328528 7119594 8306193 9492792 11074924 11470457 12657056 14239188 16612386 18985584 22149848 22940914 24918579 28478376 33224772 34411371 37971168 44299696 45881828 49837158 56956752 66449544 68822742 80293199 88599392 91763656 99674316 103234113 113913504 132899088 137645484 160586398 183527312 199348632 206468226 240879597 265798176 275290968 321172796 367054624 398697264 412936452 481759194 550581936 642345592 722638791 797394528 825872904 963518388 1101163872 1284691184 1445277582 1651745808 1927036776 2569382368 2890555164 3303491616 3854073552 5781110328 7708147104 11562220656 23124441312