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144131112 = 233219105359
BaseRepresentation
bin10001001011101…
…00010000101000
3101001012121201100
420211310100220
5243344143422
622145121400
73400044216
oct1045642050
9331177640
10144131112
11743a3924
1240329260
1323b257a8
14151dbcb6
15c9c07ac
hex8974428

144131112 has 48 divisors (see below), whose sum is σ = 410904000. Its totient is φ = 45514656.

The previous prime is 144131111. The next prime is 144131149. The reversal of 144131112 is 211131441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144131111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51312 + ... + 54047.

It is an arithmetic number, because the mean of its divisors is an integer number (8560500).

Almost surely, 2144131112 is an apocalyptic number.

144131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144131112 is an abundant number, since it is smaller than the sum of its proper divisors (266772888).

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

144131112 is a wasteful number, since it uses less digits than its factorization.

144131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105390 (or 105383 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 144131112 is about 12005.4617570504. The cubic root of 144131112 is about 524.3073095883.

Adding to 144131112 its reverse (211131441), we get a palindrome (355262553).

The spelling of 144131112 in words is "one hundred forty-four million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 105359 210718 316077 421436 632154 842872 948231 1264308 1896462 2001821 2528616 3792924 4003642 6005463 7585848 8007284 12010926 16014568 18016389 24021852 36032778 48043704 72065556 144131112