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14120102244424 = 231117231295931667
BaseRepresentation
bin1100110101111001011110…
…1011011011000001001000
31211222212110012111010020111
43031132113223123001020
53322320432133310144
650010404015004104
72655100203523501
oct315362753330110
954885405433214
1014120102244424
114554335674530
1217006a1809634
137b569b389577
1436b5b91cbba8
15197469d4d534
hexcd797adb048

14120102244424 has 128 divisors (see below), whose sum is σ = 31914047692800. Its totient is φ = 5777418634240.

The previous prime is 14120102244389. The next prime is 14120102244433. The reversal of 14120102244424 is 42444220102141.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 445877439 + ... + 445909105.

It is an arithmetic number, because the mean of its divisors is an integer number (249328497600).

Almost surely, 214120102244424 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 14120102244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957023846400).

14120102244424 is an abundant number, since it is smaller than the sum of its proper divisors (17793945448376).

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

14120102244424 is a wasteful number, since it uses less digits than its factorization.

14120102244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44683 (or 44679 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 14120102244424 its reverse (42444220102141), we get a palindrome (56564322346565).

The spelling of 14120102244424 in words is "fourteen trillion, one hundred twenty billion, one hundred two million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 2024 3128 4301 8602 12959 17204 25918 31667 34408 51836 63334 103672 126668 142549 220303 253336 285098 298057 348337 440606 538339 570196 596114 696674 728341 881212 1076678 1140392 1192228 1393348 1456682 1762424 2153356 2384456 2423333 2786696 2913364 3278627 4306712 4846666 5066969 5826728 5921729 6557254 8011751 9693332 10133938 11843458 12381797 13114508 16023502 19386664 20267876 23686916 24763594 26229016 32047004 40535752 47373832 49527188 55736659 64094008 99054376 111473318 136199767 222946636 272399534 410372653 445893272 544799068 820745306 1089598136 1641490612 3282981224 4514099183 6976335101 9028198366 9438571019 13952670202 18056396732 18877142038 27905340404 36112793464 37754284076 55810680808 75508568152 76739686111 103824281209 153479372222 160455707323 207648562418 306958744444 320911414646 415297124836 613917488888 641822829292 830594249672 1283645658584 1765012780553 3530025561106 7060051122212 14120102244424