Search a number
-
+
4145734152 = 23327127239271
BaseRepresentation
bin1111011100011010…
…1110001000001000
3101200220221010010100
43313012232020020
531442301443102
61523213245400
7204510105330
oct36706561010
911626833110
104145734152
11183818247a
12978493860
13510b88a41
142b484c0c0
15193e60a1c
hexf71ae208

4145734152 has 192 divisors, whose sum is σ = 13035110400. Its totient is φ = 1165933440.

The previous prime is 4145734139. The next prime is 4145734157. The reversal of 4145734152 is 2514375414.

4145734152 is a `hidden beast` number, since 41 + 4 + 573 + 41 + 5 + 2 = 666.

It is a super-2 number, since 2×41457341522 = 34374223318118318208, which contains 22 as substring.

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 (4145734157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15297777 + ... + 15298047.

It is an arithmetic number, because the mean of its divisors is an integer number (67891200).

Almost surely, 24145734152 is an apocalyptic number.

4145734152 is a gapful number since it is divisible by the number (42) 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 4145734152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517555200).

4145734152 is an abundant number, since it is smaller than the sum of its proper divisors (8889376248).

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

4145734152 is a wasteful number, since it uses less digits than its factorization.

4145734152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 4145734152 is about 64387.3757191579. The cubic root of 4145734152 is about 1606.4497664265.

The spelling of 4145734152 in words is "four billion, one hundred forty-five million, seven hundred thirty-four thousand, one hundred fifty-two".