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4114003378037 = 72761110327533
BaseRepresentation
bin111011110111011101101…
…101011011111101110101
3112120021221222011100112212
4323313131231123331311
51014400434331044122
612425540322023205
7603140560506500
oct73673555337565
915507858140485
104114003378037
111346814722973
125653a34a7b05
1323ac4482a787
141031940b6137
1572034793ce2
hex3bdddb5bf75

4114003378037 has 12 divisors (see below), whose sum is σ = 4791966111756. Its totient is φ = 3521654821440.

The previous prime is 4114003377973. The next prime is 4114003378097. The reversal of 4114003378037 is 7308733004114.

It can be written as a sum of positive squares in 2 ways, for example, as 1064279026321 + 3049724351716 = 1031639^2 + 1746346^2 .

It is not a de Polignac number, because 4114003378037 - 26 = 4114003377973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4114003377985 and 4114003378003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114003378097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55126478 + ... + 55201055.

It is an arithmetic number, because the mean of its divisors is an integer number (399330509313).

Almost surely, 24114003378037 is an apocalyptic number.

It is an amenable number.

4114003378037 is a deficient number, since it is larger than the sum of its proper divisors (677962733719).

4114003378037 is a wasteful number, since it uses less digits than its factorization.

4114003378037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110328308 (or 110328301 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 4114003378037 in words is "four trillion, one hundred fourteen billion, three million, three hundred seventy-eight thousand, thirty-seven".

Divisors: 1 7 49 761 5327 37289 110327533 772292731 5406049117 83959252613 587714768291 4114003378037