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12314308992 = 273251127763
BaseRepresentation
bin10110111011111110…
…10111000110000000
31011210012112201020020
423131333113012000
5200204430341432
65353534213440
7614105620326
oct133577270600
934705481206
1012314308992
11524a119677
122478054280
13121330258b
1484b677d16
154c115922c
hex2ddfd7180

12314308992 has 64 divisors (see below), whose sum is σ = 32840458560. Its totient is φ = 4088384000.

The previous prime is 12314308967. The next prime is 12314308999. The reversal of 12314308992 is 29980341321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314308999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32503 + ... + 160265.

It is an arithmetic number, because the mean of its divisors is an integer number (513132165).

Almost surely, 212314308992 is an apocalyptic number.

12314308992 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 12314308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420229280).

12314308992 is an abundant number, since it is smaller than the sum of its proper divisors (20526149568).

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

12314308992 is a wasteful number, since it uses less digits than its factorization.

12314308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128031 (or 128019 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12314308992 in words is "twelve billion, three hundred fourteen million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 96384 127763 255526 383289 511052 766578 1022104 1533156 2044208 3066312 4088416 6132624 8176832 12265248 16353664 24530496 32068513 49060992 64137026 96205539 128274052 192411078 256548104 384822156 513096208 769644312 1026192416 1539288624 2052384832 3078577248 4104769664 6157154496 12314308992