Search a number
-
+
3801144540 = 223563352409
BaseRepresentation
bin1110001010010000…
…1101110011011100
3100210220112011001010
43202210031303130
530241043111130
61425103415220
7163124124024
oct34244156334
910726464033
103801144540
111680713176
128a0bb4510
1348767836b
14280b8ca84
15173a950b0
hexe290dcdc

3801144540 has 24 divisors (see below), whose sum is σ = 10643204880. Its totient is φ = 1013638528.

The previous prime is 3801144527. The next prime is 3801144547. The reversal of 3801144540 is 454411083.

3801144540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3801144498 and 3801144507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801144547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31676145 + ... + 31676264.

It is an arithmetic number, because the mean of its divisors is an integer number (443466870).

Almost surely, 23801144540 is an apocalyptic number.

3801144540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3801144540 is an abundant number, since it is smaller than the sum of its proper divisors (6842060340).

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

3801144540 is a wasteful number, since it uses less digits than its factorization.

3801144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63352421 (or 63352419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3801144540 is about 61653.4227760309. The cubic root of 3801144540 is about 1560.6474055147.

The spelling of 3801144540 in words is "three billion, eight hundred one million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 63352409 126704818 190057227 253409636 316762045 380114454 633524090 760228908 950286135 1267048180 1900572270 3801144540