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14120460601152 = 2631991627227147
BaseRepresentation
bin1100110101111010110100…
…0010011100011101000000
31211222220101011210112020220
43031132231002130131000
53322322200403214102
650010503335503040
72655112114514343
oct315365502343500
954886334715226
1014120460601152
1145544a9987214
121700781827a80
137b57276aa379
1436b610a3245a
1519748b5381bc
hexcd7ad09c740

14120460601152 has 112 divisors (see below), whose sum is σ = 37571369510400. Its totient is φ = 4680268826112.

The previous prime is 14120460601097. The next prime is 14120460601213. The reversal of 14120460601152 is 25110606402141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62050843 + ... + 62277989.

Almost surely, 214120460601152 is an apocalyptic number.

14120460601152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120460601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785684755200).

14120460601152 is an abundant number, since it is smaller than the sum of its proper divisors (23450908909248).

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

14120460601152 is a wasteful number, since it uses less digits than its factorization.

14120460601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228988 (or 228978 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 14120460601152 in words is "fourteen trillion, one hundred twenty billion, four hundred sixty million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 1627 2388 3184 3254 4776 4881 6368 6508 9552 9762 12736 13016 19104 19524 26032 38208 39048 52064 78096 104128 156192 227147 312384 323773 454294 647546 681441 908588 971319 1295092 1362882 1817176 1942638 2590184 2725764 3634352 3885276 5180368 5451528 7268704 7770552 10360736 10903056 14537408 15541104 20721472 21806112 31082208 43612224 45202253 62164416 90404506 135606759 180809012 271213518 361618024 369568169 542427036 723236048 739136338 1084854072 1108704507 1446472096 1478272676 2169708144 2217409014 2892944192 2956545352 4339416288 4434818028 5913090704 8678832576 8869636056 11826181408 17739272112 23652362816 35478544224 70957088448 73544065631 147088131262 220632196893 294176262524 441264393786 588352525048 882528787572 1176705050096 1765057575144 2353410100192 3530115150288 4706820200384 7060230300576 14120460601152