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4053143601 = 3213411974289
BaseRepresentation
bin1111000110010110…
…0001000000110001
3101110110201000202200
43301211201000301
531300101043401
61510104533413
7202304103123
oct36145410061
911413630680
104053143601
11179a991861
12951481269
134c793a930
142a6429213
1518ac71686
hexf1961031

4053143601 has 48 divisors (see below), whose sum is σ = 6492966480. Its totient is φ = 2420490240.

The previous prime is 4053143599. The next prime is 4053143603. The reversal of 4053143601 is 1063413504.

4053143601 is a `hidden beast` number, since 4 + 0 + 53 + 1 + 4 + 3 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (4053143599) and next prime (4053143603).

It can be written as a sum of positive squares in 8 ways, for example, as 52707600 + 4000436001 = 7260^2 + 63249^2 .

It is not a de Polignac number, because 4053143601 - 21 = 4053143599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4053143603) 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 47 ways as a sum of consecutive naturals, for example, 942865 + ... + 947153.

It is an arithmetic number, because the mean of its divisors is an integer number (135270135).

Almost surely, 24053143601 is an apocalyptic number.

4053143601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4053143601 is a deficient number, since it is larger than the sum of its proper divisors (2439822879).

4053143601 is a wasteful number, since it uses less digits than its factorization.

4053143601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4053143601 is about 63664.3039779750. The cubic root of 4053143601 is about 1594.4001637243.

The spelling of 4053143601 in words is "four billion, fifty-three million, one hundred forty-three thousand, six hundred one".

Divisors: 1 3 9 13 39 41 117 123 197 369 533 591 1599 1773 2561 4289 4797 7683 8077 12867 23049 24231 38601 55757 72693 105001 167271 175849 315003 501813 527547 844933 945009 1582641 2286037 2534799 6858111 7604397 10984129 20574333 32952387 34642253 98857161 103926759 311780277 450349289 1351047867 4053143601