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14226634564032 = 2631157711674343
BaseRepresentation
bin1100111100000110010101…
…1111111110000111000000
31212101001102121211200101110
43033001211133332013000
53331042121422022112
650131343052203320
72665561160353542
oct317014537760700
955331377750343
1014226634564032
114595533361a80
121719273169540
137c2748324887
14372803a27692
1519a1027c013c
hexcf0657fe1c0

14226634564032 has 112 divisors (see below), whose sum is σ = 41134410991872. Its totient is φ = 4303629434880.

The previous prime is 14226634563997. The next prime is 14226634564057. The reversal of 14226634564032 is 23046543662241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4618548 + ... + 7055795.

Almost surely, 214226634564032 is an apocalyptic number.

14226634564032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14226634564032 is an abundant number, since it is smaller than the sum of its proper divisors (26907776427840).

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

14226634564032 is a wasteful number, since it uses less digits than its factorization.

14226634564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674946 (or 11674936 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 14226634564032 in words is "fourteen trillion, two hundred twenty-six billion, six hundred thirty-four million, five hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 577 704 1056 1154 1731 2112 2308 3462 4616 6347 6924 9232 12694 13848 18464 19041 25388 27696 36928 38082 50776 55392 76164 101552 110784 152328 203104 304656 406208 609312 1218624 11674343 23348686 35023029 46697372 70046058 93394744 128417773 140092116 186789488 256835546 280184232 373578976 385253319 513671092 560368464 747157952 770506638 1027342184 1120736928 1541013276 2054684368 2241473856 3082026552 4109368736 6164053104 6736095911 8218737472 12328106208 13472191822 20208287733 24656212416 26944383644 40416575466 53888767288 74097055021 80833150932 107777534576 148194110042 161666301864 215555069152 222291165063 296388220084 323332603728 431110138304 444582330126 592776440168 646665207456 889164660252 1185552880336 1293330414912 1778329320504 2371105760672 3556658641008 4742211521344 7113317282016 14226634564032