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2114008512 = 263711142993
BaseRepresentation
bin111111000000001…
…0011010111000000
312110022212202111120
41332000103113000
513312141233022
6545434312240
7103246530060
oct17600232700
95408782446
102114008512
11995336980
124abb88680
13278c84115
14160a953a0
15c58d2d5c
hex7e0135c0

2114008512 has 112 divisors (see below), whose sum is σ = 6973531392. Its totient is φ = 549089280.

The previous prime is 2114008511. The next prime is 2114008517. The reversal of 2114008512 is 2158004112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114008511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56713 + ... + 86280.

Almost surely, 22114008512 is an apocalyptic number.

2114008512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2114008512 is an abundant number, since it is smaller than the sum of its proper divisors (4859522880).

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

2114008512 is a wasteful number, since it uses less digits than its factorization.

2114008512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143026 (or 143016 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2114008512 is about 45978.3482956924. The cubic root of 2114008512 is about 1283.4203184907.

It can be divided in two parts, 211400 and 8512, that added together give a palindrome (219912).

The spelling of 2114008512 in words is "two billion, one hundred fourteen million, eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 142993 285986 428979 571972 857958 1000951 1143944 1572923 1715916 2001902 2287888 3002853 3145846 3431832 4003804 4575776 4718769 6005706 6291692 6863664 8007608 9151552 9437538 11010461 12011412 12583384 13727328 16015216 18875076 22020922 24022824 25166768 27454656 32030432 33031383 37750152 44041844 48045648 50333536 64060864 66062766 75500304 88083688 96091296 100667072 132125532 151000608 176167376 192182592 264251064 302001216 352334752 528502128 704669504 1057004256 2114008512