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3144191232 = 28372136427
BaseRepresentation
bin1011101101101000…
…1000110100000000
322010010100110112010
42323122020310000
522414403104412
61235554532520
7140626120200
oct27332106400
98103313463
103144191232
1113738a5456
12738b97140
133b152b4b0
1421b81c400
1513607733c
hexbb688d00

3144191232 has 216 divisors, whose sum is σ = 10484787936. Its totient is φ = 829108224.

The previous prime is 3144191227. The next prime is 3144191273. The reversal of 3144191232 is 2321914413.

It is a self number, because there is not a number n which added to its sum of digits gives 3144191232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486003 + ... + 492429.

Almost surely, 23144191232 is an apocalyptic number.

3144191232 is a gapful number since it is divisible by the number (32) 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 3144191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242393968).

3144191232 is an abundant number, since it is smaller than the sum of its proper divisors (7340596704).

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

3144191232 is a wasteful number, since it uses less digits than its factorization.

3144191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6452 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 3144191232 is about 56073.0883044621. The cubic root of 3144191232 is about 1464.9955902285.

It can be divided in two parts, 3144 and 191232, that added together give a triangular number (194376 = T623).

The spelling of 3144191232 in words is "three billion, one hundred forty-four million, one hundred ninety-one thousand, two hundred thirty-two".