Search a number
-
+
4143975360 = 263574314341
BaseRepresentation
bin1111011100000000…
…0000101111000000
3101200210121202111220
43313000000233000
531441324202420
61523111435040
7204456131550
oct36700005700
911623552456
104143975360
111837191028
12977985a80
135106c1335
142b4511160
15193c14840
hexf7000bc0

4143975360 has 224 divisors, whose sum is σ = 15387474432. Its totient is φ = 925102080.

The previous prime is 4143975347. The next prime is 4143975391. The reversal of 4143975360 is 635793414.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281790 + ... + 296130.

Almost surely, 24143975360 is an apocalyptic number.

4143975360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693737216).

4143975360 is an abundant number, since it is smaller than the sum of its proper divisors (11243499072).

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

4143975360 is a wasteful number, since it uses less digits than its factorization.

4143975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14411 (or 14401 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 4143975360 is about 64373.7163755519. The cubic root of 4143975360 is about 1606.2225601352. Note that the first 3 decimals are identical.

The spelling of 4143975360 in words is "four billion, one hundred forty-three million, nine hundred seventy-five thousand, three hundred sixty".