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14034421341424 = 24114779149914327
BaseRepresentation
bin1100110000111010010010…
…1100101101110011110000
31211200200021221202021100201
43030032210230231303300
53314414443330411144
645503154003524544
72645645021051461
oct314164454556360
954620257667321
1014034421341424
114520a67a749a0
1216a7b6b389754
137aa595311bb3
143673abb88d68
15195102c791d4
hexcc3a4b2dcf0

14034421341424 has 160 divisors (see below), whose sum is σ = 30700892160000. Its totient is φ = 6159978289920.

The previous prime is 14034421341403. The next prime is 14034421341467. The reversal of 14034421341424 is 42414312443041.

14034421341424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 979571349 + ... + 979585675.

It is an arithmetic number, because the mean of its divisors is an integer number (191880576000).

Almost surely, 214034421341424 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 14034421341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350446080000).

14034421341424 is an abundant number, since it is smaller than the sum of its proper divisors (16666470818576).

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

14034421341424 is a wasteful number, since it uses less digits than its factorization.

14034421341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 14034421341424 its reverse (42414312443041), we get a palindrome (56448733784465).

The spelling of 14034421341424 in words is "fourteen trillion, thirty-four billion, four hundred twenty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 47 79 88 94 158 176 188 316 376 517 632 752 869 1034 1264 1499 1738 2068 2998 3476 3713 4136 5996 6952 7426 8272 11992 13904 14327 14852 16489 23984 28654 29704 32978 40843 57308 59408 65956 70453 81686 114616 118421 131912 140906 157597 163372 229232 236842 263824 281812 315194 326744 473684 563624 630388 653488 673369 774983 947368 1127248 1131833 1260776 1302631 1346738 1549966 1894736 2263666 2521552 2605262 2693476 3099932 4527332 5210524 5386952 5565787 6199864 7407059 9054664 10421048 10773904 11131574 12399728 12450163 14814118 18109328 20842096 21476173 22263148 24900326 29628236 42952346 44526296 49800652 53196151 59256472 61223657 85904692 89052592 99601304 106392302 118512944 122447314 171809384 199202608 212784604 236237903 244894628 343618768 425569208 472475806 489789256 585157661 851138416 944951612 979578512 1009380131 1170315322 1696617667 1889903224 2018760262 2340630644 3393235334 3779806448 4037520524 4681261288 6786470668 8075041048 9362522576 11103181441 13572941336 16150082096 18662794337 22206362882 27145882672 37325588674 44412725764 74651177348 79741030349 88825451528 149302354696 159482060698 177650903056 298604709392 318964121396 637928242792 877151333839 1275856485584 1754302667678 3508605335356 7017210670712 14034421341424