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2134214023312 = 247109922118959
BaseRepresentation
bin11111000011101001000…
…100011001100010010000
321120000210001012122211101
4133003221010121202100
5234431332242221222
64312235553154144
7310122545610460
oct37035104314220
97500701178741
102134214023312
1175312a1a5008
122a575bb5b954
131263424b4807
14754218a1ba0
153a7b0c90927
hex1f0e9119890

2134214023312 has 80 divisors (see below), whose sum is σ = 4769883993600. Its totient is φ = 906125667840.

The previous prime is 2134214023303. The next prime is 2134214023343. The reversal of 2134214023312 is 2133204124312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112560489 + ... + 112579447.

It is an arithmetic number, because the mean of its divisors is an integer number (59623549920).

Almost surely, 22134214023312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134214023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384941996800).

2134214023312 is an abundant number, since it is smaller than the sum of its proper divisors (2635669970288).

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

2134214023312 is a wasteful number, since it uses less digits than its factorization.

2134214023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28304 (or 28298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2134214023312 its reverse (2133204124312), we get a palindrome (4267418147624).

The spelling of 2134214023312 in words is "two trillion, one hundred thirty-four billion, two hundred fourteen million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 9221 12208 18442 18959 36884 37918 64547 73768 75836 129094 132713 147536 151672 258188 265426 303344 516376 530852 1005089 1032752 1061704 2010178 2066531 2123408 4020356 4133062 7035623 8040712 8266124 14071246 14465717 16081424 16532248 28142492 28931434 33064496 56284984 57862868 112569968 115725736 174820939 231451472 349641878 699283756 1223746573 1398567512 2447493146 2797135024 4894986292 9789972584 19055482351 19579945168 38110964702 76221929404 133388376457 152443858808 266776752914 304887717616 533553505828 1067107011656 2134214023312