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14304050421152 = 2517195519250753
BaseRepresentation
bin1101000000100110101111…
…0110000001110110100000
31212122110020212102200202212
43100021223312001312200
53333324143401434102
650231105014501252
73004301463320102
oct320115366016640
955573225380685
1014304050421152
11461534a614288
121730279664828
137c9b34c7925b
143764694cb572
1519c133e91c52
hexd026bd81da0

14304050421152 has 96 divisors (see below), whose sum is σ = 31392795974400. Its totient is φ = 6375857061888.

The previous prime is 14304050421149. The next prime is 14304050421187. The reversal of 14304050421152 is 25112405040341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56919008 + ... + 57169760.

It is an arithmetic number, because the mean of its divisors is an integer number (327008291400).

Almost surely, 214304050421152 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 14304050421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696397987200).

14304050421152 is an abundant number, since it is smaller than the sum of its proper divisors (17088745553248).

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

14304050421152 is a wasteful number, since it uses less digits than its factorization.

14304050421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256318 (or 256310 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 14304050421152 its reverse (25112405040341), we get a palindrome (39416455461493).

The spelling of 14304050421152 in words is "fourteen trillion, three hundred four billion, fifty million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 5519 10336 11038 22076 44152 88304 93823 104861 176608 187646 209722 250753 375292 419444 501506 750584 838888 1003012 1501168 1677776 1782637 2006024 3002336 3355552 3565274 4012048 4262801 4764307 7130548 8024096 8525602 9528614 14261096 17051204 19057228 28522192 34102408 38114456 57044384 68204816 76228912 80993219 136409632 152457824 161986438 323972876 647945752 1295891504 1383905807 2591783008 2767811614 5535623228 11071246456 22142492912 23526398719 26294210333 44284985824 47052797438 52588420666 94105594876 105176841332 188211189752 210353682664 376422379504 420707365328 447001575661 752844759008 841414730656 894003151322 1788006302644 3576012605288 7152025210576 14304050421152