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14442432002334 = 23276713912307793
BaseRepresentation
bin1101001000101010010000…
…0001110111100100011110
31220010200102220210101021100
43102022210001313210132
53343111100043033314
650414432304213530
73020300633334150
oct322124401674436
956120386711240
1014442432002334
114669001396406
12175305930a2a6
13809bb945697b
1437d035bccad0
151a0a32a76c09
hexd22a407791e

14442432002334 has 96 divisors (see below), whose sum is σ = 36557102050560. Its totient is φ = 4035577303296.

The previous prime is 14442432002303. The next prime is 14442432002351. The reversal of 14442432002334 is 43320023424441.

14442432002334 is a `hidden beast` number, since 1 + 4 + 4 + 424 + 3 + 200 + 23 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4980459 + ... + 7327334.

It is an arithmetic number, because the mean of its divisors is an integer number (380803146360).

Almost surely, 214442432002334 is an apocalyptic number.

14442432002334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14442432002334 is an abundant number, since it is smaller than the sum of its proper divisors (22114670048226).

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

14442432002334 is a wasteful number, since it uses less digits than its factorization.

14442432002334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308014 (or 12308011 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14442432002334 its reverse (43320023424441), we get a palindrome (57762455426775).

The spelling of 14442432002334 in words is "fourteen trillion, four hundred forty-two billion, four hundred thirty-two million, two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 139 201 278 402 417 469 603 834 938 973 1206 1251 1407 1946 2502 2814 2919 4221 5838 8442 8757 9313 17514 18626 27939 55878 65191 83817 130382 167634 195573 391146 586719 1173438 12307793 24615586 36923379 73846758 86154551 110770137 172309102 221540274 258463653 516927306 775390959 824622131 1550781918 1649244262 1710783227 2473866393 3421566454 4947732786 5132349681 5772354917 7421599179 10264699362 11544709834 11975482589 14843198358 15397049043 17317064751 23950965178 30794098086 34634129502 35926447767 51951194253 71852895534 103902388506 107779343301 114622476209 215558686602 229244952418 343867428627 687734857254 802357333463 1031602285881 1604714666926 2063204571762 2407072000389 4814144000778 7221216001167 14442432002334