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4130416374813 = 326412897247141
BaseRepresentation
bin111100000110110000000…
…000000011010000011101
3112121212022211002222102100
4330012300000003100131
51020133043042443223
612441253113315313
7604261365622161
oct74066000032035
915555284088370
104130416374813
111352777400313
12568604105b39
1323c65c025ba1
14103cadc32ca1
1572695669043
hex3c1b000341d

4130416374813 has 24 divisors (see below), whose sum is σ = 5977551388536. Its totient is φ = 2748354969600.

The previous prime is 4130416374811. The next prime is 4130416374857. The reversal of 4130416374813 is 3184736140314.

4130416374813 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 1 + 637 + 4 + 8 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1737445606884 + 2392970767929 = 1318122^2 + 1546923^2 .

It is not a de Polignac number, because 4130416374813 - 21 = 4130416374811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130416374811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16589223 + ... + 16836363.

It is an arithmetic number, because the mean of its divisors is an integer number (249064641189).

Almost surely, 24130416374813 is an apocalyptic number.

It is an amenable number.

4130416374813 is a deficient number, since it is larger than the sum of its proper divisors (1847135013723).

4130416374813 is a wasteful number, since it uses less digits than its factorization.

4130416374813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250685 (or 250682 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4130416374813 in words is "four trillion, one hundred thirty billion, four hundred sixteen million, three hundred seventy-four thousand, eight hundred thirteen".

Divisors: 1 3 9 641 1923 2897 5769 8691 26073 247141 741423 1856977 2224269 5570931 16712793 158417381 475252143 715967477 1425756429 2147902431 6443707293 458935152757 1376805458271 4130416374813