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14146882280000 = 26543203110419
BaseRepresentation
bin1100110111011101001111…
…1001001001101001000000
31212002102120112211212210222
43031313103321021221000
53323240303330430000
650030553224042212
72660035634212121
oct315672371115100
955072515755728
1014146882280000
114564728269638
121705916303368
137b8078612972
1436c9d9b32048
15197ed5e33a85
hexcddd3e49a40

14146882280000 has 140 divisors (see below), whose sum is σ = 35090940242160. Its totient is φ = 5656934976000.

The previous prime is 14146882279997. The next prime is 14146882280033. The reversal of 14146882280000 is 8228864141.

14146882280000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128064791 + ... + 128175209.

Almost surely, 214146882280000 is an apocalyptic number.

14146882280000 is a gapful number since it is divisible by the number (10) 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 14146882280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545470121080).

14146882280000 is an abundant number, since it is smaller than the sum of its proper divisors (20944057962160).

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

14146882280000 is an equidigital number, since it uses as much as digits as its factorization.

14146882280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113654 (or 113629 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 14146882280000 in words is "fourteen trillion, one hundred forty-six billion, eight hundred eighty-two million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3203 4000 5000 6406 8000 10000 12812 16015 20000 25624 32030 40000 51248 64060 80075 102496 110419 128120 160150 204992 220838 256240 320300 400375 441676 512480 552095 640600 800750 883352 1024960 1104190 1281200 1601500 1766704 2001875 2208380 2562400 2760475 3203000 3533408 4003750 4416760 5124800 5520950 6406000 7066816 8007500 8833520 11041900 12812000 13802375 16015000 17667040 22083800 25624000 27604750 32030000 35334080 44167600 55209500 64060000 69011875 88335200 110419000 128120000 138023750 176670400 220838000 276047500 353672057 441676000 552095000 707344114 883352000 1104190000 1414688228 1768360285 2208380000 2829376456 3536720570 4416760000 5658752912 7073441140 8841801425 11317505824 14146882280 17683602850 22635011648 28293764560 35367205700 44209007125 56587529120 70734411400 88418014250 113175058240 141468822800 176836028500 221045035625 282937645600 353672057000 442090071250 565875291200 707344114000 884180142500 1414688228000 1768360285000 2829376456000 3536720570000 7073441140000 14146882280000