Search a number
-
+
4143547104 = 253211337607
BaseRepresentation
bin1111011011111001…
…1000001011100000
3101200202211000001120
43312332120023200
531441222001404
61523054332240
7204452366154
oct36676301340
911622730046
104143547104
111836a192a4
129777ba080
135105a1428
142b443d064
15193b7c9d9
hexf6f982e0

4143547104 has 96 divisors (see below), whose sum is σ = 10978845696. Its totient is φ = 1368299520.

The previous prime is 4143547103. The next prime is 4143547147. The reversal of 4143547104 is 4017453414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143547103) by changing a digit.

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, 6825969 + ... + 6826575.

It is an arithmetic number, because the mean of its divisors is an integer number (114362976).

Almost surely, 24143547104 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 4143547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489422848).

4143547104 is an abundant number, since it is smaller than the sum of its proper divisors (6835298592).

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

4143547104 is a wasteful number, since it uses less digits than its factorization.

4143547104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4143547104 is about 64370.3899630878. The cubic root of 4143547104 is about 1606.1672269438.

The spelling of 4143547104 in words is "four billion, one hundred forty-three million, five hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 337 422 607 633 674 844 1011 1214 1266 1348 1688 1821 2022 2428 2532 2696 3376 3642 4044 4856 5064 5392 6752 7284 8088 9712 10128 10784 14568 16176 19424 20256 29136 32352 58272 71107 128077 142214 204559 213321 256154 284428 384231 409118 426642 512308 568856 613677 768462 818236 853284 1024616 1137712 1227354 1536924 1636472 1706568 2049232 2275424 2454708 3073848 3272944 3413136 4098464 4909416 6147696 6545888 6826272 9818832 12295392 19637664 43161949 86323898 129485847 172647796 258971694 345295592 517943388 690591184 1035886776 1381182368 2071773552 4143547104