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4138712352 = 253214370529
BaseRepresentation
bin1111011010101111…
…1011110100100000
3101200102201101000200
43312223323310200
531434002243402
61522402545200
7204363321525
oct36653736440
911612641020
104138712352
111834216935
12976068200
1350c59a928
142b394114c
1519352521c
hexf6afbd20

4138712352 has 36 divisors (see below), whose sum is σ = 11769464070. Its totient is φ = 1379570688.

The previous prime is 4138712287. The next prime is 4138712359. The reversal of 4138712352 is 2532178314.

4138712352 is a `hidden beast` number, since 41 + 387 + 1 + 235 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3433491216 + 705221136 = 58596^2 + 26556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4138712359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7184977 + ... + 7185552.

Almost surely, 24138712352 is an apocalyptic number.

It is an amenable number.

4138712352 is an abundant number, since it is smaller than the sum of its proper divisors (7630751718).

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

4138712352 is a wasteful number, since it uses less digits than its factorization.

4138712352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370545 (or 14370534 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 4138712352 is about 64332.8248408229. The cubic root of 4138712352 is about 1605.5422839303.

The spelling of 4138712352 in words is "four billion, one hundred thirty-eight million, seven hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14370529 28741058 43111587 57482116 86223174 114964232 129334761 172446348 229928464 258669522 344892696 459856928 517339044 689785392 1034678088 1379570784 2069356176 4138712352