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14033242241104 = 24173139715592689
BaseRepresentation
bin1100110000110101111001…
…1010110011100001010000
31211200120020210001202210111
43030031132122303201100
53314410040003203404
645502441003411104
72645603552630302
oct314153632634120
954616223052714
1014033242241104
114520512443419
1216a78a0523a94
137aa437c574b8
143672d9339972
151950844bb104
hexcc35e6b3850

14033242241104 has 160 divisors (see below), whose sum is σ = 29822505523200. Its totient is φ = 6368294338560.

The previous prime is 14033242241071. The next prime is 14033242241147. The reversal of 14033242241104 is 40114224233041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 5218757392 + ... + 5218760080.

It is an arithmetic number, because the mean of its divisors is an integer number (186390659520).

Almost surely, 214033242241104 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 14033242241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911252761600).

14033242241104 is an abundant number, since it is smaller than the sum of its proper divisors (15789263282096).

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

14033242241104 is a wasteful number, since it uses less digits than its factorization.

14033242241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14033242241104 its reverse (40114224233041), we get a palindrome (54147466474145).

The spelling of 14033242241104 in words is "fourteen trillion, thirty-three billion, two hundred forty-two million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 397 496 527 794 1054 1559 1588 2108 2689 3118 3176 4216 5378 6236 6352 6749 8432 10756 12307 12472 13498 21512 24614 24944 26503 26996 43024 45713 48329 49228 53006 53992 83359 91426 96658 98456 106012 107984 166718 182852 193316 196912 209219 212024 333436 365704 386632 418438 424048 618923 666872 731408 773264 821593 836876 1067533 1237846 1333744 1417103 1643186 1673752 2135066 2475692 2834206 3286372 3347504 4192151 4270132 4951384 5668412 6572744 8384302 8540264 9902768 10521691 11336824 13145488 16768604 17080528 18148061 19186613 21043382 22673648 33093523 33537208 36296122 38373226 42086764 66187046 67074416 71266567 72592244 76746452 84173528 129956681 132374092 142533134 145184488 153492904 168347056 259913362 264748184 285066268 290368976 306985808 326172421 519826724 529496368 562589891 570132536 652344842 1039653448 1125179782 1140265072 1304689684 1664283947 2079306896 2209263577 2250359564 2609379368 3328567894 4418527154 4500719128 5218758736 6657135788 8837054308 9001438256 13314271576 17674108616 26628543152 28292827099 35348217232 51592802357 56585654198 103185604714 113171308396 206371209428 226342616792 412742418856 452685233584 825484837712 877077640069 1754155280138 3508310560276 7016621120552 14033242241104