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14001201120434 = 211210931110491627
BaseRepresentation
bin1100101110111110100010…
…0111101000010010110010
31211120111112210001012020112
43023233220213220102302
53313343424441323214
645440021335141322
72643360546613313
oct313575047502262
954514483035215
1014001201120434
114508970027200
1216a1639b14842
137a73cca4b3b8
14365939bb060a
1519430b5aaa3e
hexcbbe89e84b2

14001201120434 has 96 divisors (see below), whose sum is σ = 23407976592000. Its totient is φ = 6275667974400.

The previous prime is 14001201120427. The next prime is 14001201120443. The reversal of 14001201120434 is 43402110210041.

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 47 ways as a sum of consecutive naturals, for example, 8605531529 + ... + 8605533155.

It is an arithmetic number, because the mean of its divisors is an integer number (243833089500).

Almost surely, 214001201120434 is an apocalyptic number.

14001201120434 is a deficient number, since it is larger than the sum of its proper divisors (9406775471566).

14001201120434 is a wasteful number, since it uses less digits than its factorization.

14001201120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14001201120434 its reverse (43402110210041), we get a palindrome (57403311330475).

The spelling of 14001201120434 in words is "fourteen trillion, one billion, two hundred one million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 11 22 109 121 218 242 311 622 1049 1199 1627 2098 2398 3254 3421 6842 11539 13189 17897 23078 26378 33899 35794 37631 67798 75262 114341 126929 177343 196867 228682 253858 326239 354686 372889 393734 505997 652478 745778 1011994 1257751 1706723 1950773 2515502 3413446 3588629 3901546 4101779 5565967 7177258 8203558 11131934 13835261 18773953 21458503 27670522 35560051 37547906 39474919 42917006 55153673 61225637 71120102 78949838 110307346 122451274 186032807 206513483 372065614 391160561 413026966 530790853 606690403 782321122 1061581706 1213380806 2046360877 4092721754 4302766171 5838699383 6673594433 8605532342 11677398766 13347188866 22509969647 45019939294 57856202977 64225693213 115712405954 128451386426 636418232747 1272836465494 7000600560217 14001201120434