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14254031138028 = 22311172834501817
BaseRepresentation
bin1100111101101100011001…
…1101100110110011101100
31212110200010221022211200020
43033123012131212303230
53332014223432404103
650152113404002140
73000551115402243
oct317330635466354
955420127284606
1014254031138028
1145a6111a80570
12172263a230350
137c51c32174c6
14373c823bb95a
1519aba7a8d753
hexcf6c6766cec

14254031138028 has 144 divisors (see below), whose sum is σ = 39007208548224. Its totient is φ = 4016340162560.

The previous prime is 14254031137991. The next prime is 14254031138047. The reversal of 14254031138028 is 82083113045241.

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, 915376 + ... + 5417192.

It is an arithmetic number, because the mean of its divisors is an integer number (270883392696).

Almost surely, 214254031138028 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 14254031138028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503604274112).

14254031138028 is an abundant number, since it is smaller than the sum of its proper divisors (24753177410196).

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

14254031138028 is a wasteful number, since it uses less digits than its factorization.

14254031138028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501952 (or 4501933 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 14254031138028 in words is "fourteen trillion, two hundred fifty-four billion, thirty-one million, one hundred thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 289 332 374 498 561 578 748 867 913 996 1122 1156 1411 1734 1826 2244 2739 2822 3179 3468 3652 4233 5478 5644 6358 8466 9537 10956 12716 15521 16932 19074 23987 31042 38148 46563 47974 62084 71961 93126 95948 143922 186252 263857 287844 527714 791571 1055428 1583142 3166284 4501817 9003634 13505451 18007268 27010902 49519987 54021804 76530889 99039974 148559961 153061778 198079948 229592667 297119922 306123556 373650811 459185334 594239844 747301622 841839779 918370668 1120952433 1301025113 1494603244 1683679558 2241904866 2525519337 2602050226 3367359116 3903075339 4110158921 4483809732 5051038674 5204100452 6352063787 7806150678 8220317842 10102077348 12330476763 12704127574 14311276243 15612301356 16440635684 19056191361 24660953526 25408255148 28622552486 38112382722 42933828729 49321907052 57245104972 69872701657 76224765444 85867657458 107985084379 139745403314 171735314916 209618104971 215970168758 279490806628 323955253137 419236209942 431940337516 647910506274 838472419884 1187835928169 1295821012548 2375671856338 3563507784507 4751343712676 7127015569014 14254031138028