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12014065446144 = 28343136295393
BaseRepresentation
bin1010111011010011111000…
…0110100110110100000000
31120112112101212200210121020
42232310332012212310000
53033314301223234034
641315104021225440
72346662512230066
oct256647606466400
946475355623536
1012014065446144
113912155813763
1214204a6262280
13691bc9734598
142d76aba50036
1515c7a7b80249
hexaed3e1a6d00

12014065446144 has 72 divisors (see below), whose sum is σ = 32049123265152. Its totient is φ = 3995396751360.

The previous prime is 12014065446139. The next prime is 12014065446169. The reversal of 12014065446144 is 44164456041021.

It is a junction number, because it is equal to n+sod(n) for n = 12014065446096 and 12014065446105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17816689 + ... + 18478704.

It is an arithmetic number, because the mean of its divisors is an integer number (445126712016).

Almost surely, 212014065446144 is an apocalyptic number.

It is an amenable number.

12014065446144 is an abundant number, since it is smaller than the sum of its proper divisors (20035057819008).

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

12014065446144 is an equidigital number, since it uses as much as digits as its factorization.

12014065446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36295843 (or 36295829 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 12014065446144 in words is "twelve trillion, fourteen billion, sixty-five million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 431 768 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 27584 41376 55168 82752 110336 165504 331008 36295393 72590786 108886179 145181572 217772358 290363144 435544716 580726288 871089432 1161452576 1742178864 2322905152 3484357728 4645810304 6968715456 9291620608 13937430912 15643314383 27874861824 31286628766 46929943149 62573257532 93859886298 125146515064 187719772596 250293030128 375439545192 500586060256 750879090384 1001172120512 1501758180768 2002344241024 3003516361536 4004688482048 6007032723072 12014065446144