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14244102412434 = 23217434639233357
BaseRepresentation
bin1100111101000111011010…
…1010100001100010010010
31212102201111222200022122200
43033101312222201202102
53331333410204144214
650143352244544030
73000050064542346
oct317216652414222
955381458608580
1014244102412434
1145a1987518024
1217207290b2016
137c42a022394b
143735bd8cd626
1519a7c60add09
hexcf476aa1892

14244102412434 has 96 divisors (see below), whose sum is σ = 33444943234560. Its totient is φ = 4363854276096.

The previous prime is 14244102412361. The next prime is 14244102412447. The reversal of 14244102412434 is 43421420144241.

14244102412434 is a `hidden beast` number, since 1 + 42 + 44 + 102 + 41 + 2 + 434 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60923284 + ... + 61156640.

It is an arithmetic number, because the mean of its divisors is an integer number (348384825360).

Almost surely, 214244102412434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244102412434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722471617280).

14244102412434 is an abundant number, since it is smaller than the sum of its proper divisors (19200840822126).

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

14244102412434 is a wasteful number, since it uses less digits than its factorization.

14244102412434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238064 (or 238061 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14244102412434 its reverse (43421420144241), we get a palindrome (57665522556675).

The spelling of 14244102412434 in words is "fourteen trillion, two hundred forty-four billion, one hundred two million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 4639 6579 9278 13158 13917 27834 41751 78863 83502 157726 199477 233357 236589 398954 466714 473178 598431 700071 709767 1196862 1400142 1419534 1795293 2100213 3391109 3590586 3967069 4200426 6782218 7934138 10034351 10173327 11901207 20068702 20346654 23802414 30103053 30519981 35703621 60206106 61039962 71407242 90309159 170583967 180618318 341167934 511751901 1023503802 1082543123 1535255703 2165086246 3070511406 3247629369 6495258738 9742888107 18403233091 19485776214 36806466182 46549354289 55209699273 93098708578 110419398546 139648062867 165629097819 279296125734 331258195638 418944188601 791339022913 837888377202 1582678045826 2374017068739 4748034137478 7122051206217 14244102412434