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14024002240444 = 2273191192345121
BaseRepresentation
bin1100110000010011011110…
…1010111111111110111100
31211122200101211101002202211
43030010313222333332330
53314232124033143234
645454312050230204
72645125564132000
oct314046752777674
954580354332684
1014024002240444
114517600729139
1216a5b41b85364
137a95c4855ca1
14366aa00cc700
15194be31d3164
hexcc137abffbc

14024002240444 has 96 divisors (see below), whose sum is σ = 30129944768000. Its totient is φ = 5693352053760.

The previous prime is 14024002240439. The next prime is 14024002240483. The reversal of 14024002240444 is 44404220042041.

It is a happy number.

It is a congruent number.

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, 310786204 + ... + 310831324.

Almost surely, 214024002240444 is an apocalyptic number.

14024002240444 is a gapful number since it is divisible by the number (14) 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 14024002240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064972384000).

14024002240444 is an abundant number, since it is smaller than the sum of its proper divisors (16105942527556).

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

14024002240444 is a wasteful number, since it uses less digits than its factorization.

14024002240444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57088 (or 57072 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 14024002240444 its reverse (44404220042041), we get a palindrome (58428222282485).

The spelling of 14024002240444 in words is "fourteen trillion, twenty-four billion, two million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 3724 6517 11923 13034 23846 26068 45121 47692 83461 90242 166922 180484 226537 315847 333844 453074 584227 631694 857299 906148 1168454 1263388 1585759 1714598 2210929 2336908 3171518 3429196 4089589 4421858 6001093 6343036 8179178 8843716 11100313 12002186 15476503 16358356 22200626 24004372 30953006 42007651 44401252 61906012 77702191 84015302 155404382 168030604 294053557 310808764 537977683 588107114 1075955366 1176214228 2151910732 3765843781 7531687562 10221575977 15063375124 20443151954 26360906467 40886303908 52721812934 71551031839 105443625868 143102063678 184526345269 286204127356 369052690538 500857222873 738105381076 1001714445746 2003428891492 3506000560111 7012001120222 14024002240444