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14106795000 = 233544321871
BaseRepresentation
bin11010010001101010…
…01001101111111000
31100102010102102202220
431020311021233320
5212342314420000
610251445324040
71006402531134
oct151065115770
940363372686
1014106795000
115a89a10971
122898406620
13143a79149c
1497b7563c4
155786cb1a0
hex348d49bf8

14106795000 has 160 divisors (see below), whose sum is σ = 45096564480. Its totient is φ = 3674160000.

The previous prime is 14106794987. The next prime is 14106795013. The reversal of 14106795000 is 59760141.

It is an interprime number because it is at equal distance from previous prime (14106794987) and next prime (14106795013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 634065 + ... + 655935.

It is an arithmetic number, because the mean of its divisors is an integer number (281853528).

Almost surely, 214106795000 is an apocalyptic number.

14106795000 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 14106795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548282240).

14106795000 is an abundant number, since it is smaller than the sum of its proper divisors (30989769480).

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

14106795000 is a wasteful number, since it uses less digits than its factorization.

14106795000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21943 (or 21924 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 14106795000 in words is "fourteen billion, one hundred six million, seven hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 625 645 750 860 1000 1032 1075 1250 1290 1500 1720 1875 2150 2500 2580 3000 3225 3750 4300 5000 5160 5375 6450 7500 8600 10750 12900 15000 16125 21500 21871 25800 26875 32250 43000 43742 53750 64500 65613 80625 87484 107500 109355 129000 131226 161250 174968 215000 218710 262452 322500 328065 437420 524904 546775 645000 656130 874840 940453 1093550 1312260 1640325 1880906 2187100 2624520 2733875 2821359 3280650 3761812 4374200 4702265 5467750 5642718 6561300 7523624 8201625 9404530 10935500 11285436 13122600 13669375 14106795 16403250 18809060 21871000 22570872 23511325 27338750 28213590 32806500 37618120 41008125 47022650 54677500 56427180 65613000 70533975 82016250 94045300 109355000 112854360 117556625 141067950 164032500 188090600 235113250 282135900 328065000 352669875 470226500 564271800 587783125 705339750 940453000 1175566250 1410679500 1763349375 2351132500 2821359000 3526698750 4702265000 7053397500 14106795000