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14002102221234 = 23193114232784337
BaseRepresentation
bin1100101111000001111001…
…0101000011100110110010
31211120120212120121212011020
43023300132111003212302
53313402301132034414
645440251005000310
72643422101055331
oct313603625034662
954516776555136
1014002102221234
114509292740606
1216a184b853096
137a751463bb3a
143659c3735d18
151943607537a9
hexcbc1e5439b2

14002102221234 has 64 divisors (see below), whose sum is σ = 30450411356160. Its totient is φ = 4276071855360.

The previous prime is 14002102221223. The next prime is 14002102221257. The reversal of 14002102221234 is 43212220120041.

14002102221234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140021022212342 (a number of 27 digits) contains 22 as substring.

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, 3636714 + ... + 6421050.

It is an arithmetic number, because the mean of its divisors is an integer number (475787677440).

Almost surely, 214002102221234 is an apocalyptic number.

14002102221234 is an abundant number, since it is smaller than the sum of its proper divisors (16448309134926).

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

14002102221234 is a wasteful number, since it uses less digits than its factorization.

14002102221234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785815.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14002102221234 its reverse (43212220120041), we get a palindrome (57214322341275).

The spelling of 14002102221234 in words is "fourteen trillion, two billion, one hundred two million, two hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 1178 1423 1767 2846 3534 4269 8538 27037 44113 54074 81111 88226 132339 162222 264678 838147 1676294 2514441 2784337 5028882 5568674 8353011 16706022 52902403 86314447 105804806 158707209 172628894 258943341 317414418 517886682 1639974493 3279948986 3962111551 4919923479 7924223102 9839846958 11886334653 23772669306 75280119469 122825458081 150560238938 225840358407 245650916162 368476374243 451680716814 736952748486 2333683703539 4667367407078 7001051110617 14002102221234