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2114252524112 = 241773137777221
BaseRepresentation
bin11110110001000011010…
…001010100101001010000
321111010020220010102202012
4132301003101110221100
5234114442121232422
64255135121042052
7305515101636011
oct36610321245120
97433226112665
102114252524112
11745716482233
122a190aa86328
131244b0a9a221
147448a75d008
1539ee35cc4e2
hex1ec43454a50

2114252524112 has 80 divisors (see below), whose sum is σ = 4428841013712. Its totient is φ = 974148894720.

The previous prime is 2114252524073. The next prime is 2114252524183.

2114252524112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6482826256 + 2107769697856 = 80516^2 + 1451816^2 .

It is a congruent number.

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, 2331662 + ... + 3108882.

Almost surely, 22114252524112 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 2114252524112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214420506856).

2114252524112 is an abundant number, since it is smaller than the sum of its proper divisors (2314588489600).

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

2114252524112 is a wasteful number, since it uses less digits than its factorization.

2114252524112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777456 (or 777450 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The spelling of 2114252524112 in words is "two trillion, one hundred fourteen billion, two hundred fifty-two million, five hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 73 136 137 146 272 274 292 548 584 1096 1168 1241 2192 2329 2482 4658 4964 9316 9928 10001 18632 19856 20002 37264 40004 80008 160016 170017 340034 680068 777221 1360136 1554442 2720272 3108884 6217768 12435536 13212757 26425514 52851028 56737133 105702056 106479277 113474266 211404112 212958554 226948532 425917108 453897064 851834216 907794128 964531261 1703668432 1810147709 1929062522 3620295418 3858125044 7240590836 7716250088 7772987221 14481181672 15432500176 15545974442 28962363344 31091948884 62183897768 124367795536 132140782757 264281565514 528563131028 1057126262056 2114252524112