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145014131140 = 2258981468613
BaseRepresentation
bin1000011100001110000…
…1000000100111000100
3111212022021200010120221
42013003201000213010
54333442104144030
6150341340034124
713322404530304
oct2070341004704
9455267603527
10145014131140
115655577307a
1224130b32944
13108a062a8b8
14703952b604
153b8b019e7a
hex21c38409c4

145014131140 has 24 divisors (see below), whose sum is σ = 307951360920. Its totient is φ = 57353902848.

The previous prime is 145014131137. The next prime is 145014131147. The reversal of 145014131140 is 41131410541.

It can be written as a sum of positive squares in 4 ways, for example, as 516834756 + 144497296384 = 22734^2 + 380128^2 .

It is not an unprimeable number, because it can be changed into a prime (145014131147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40732527 + ... + 40736086.

It is an arithmetic number, because the mean of its divisors is an integer number (12831306705).

Almost surely, 2145014131140 is an apocalyptic number.

145014131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145014131140 is an abundant number, since it is smaller than the sum of its proper divisors (162937229780).

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

145014131140 is a wasteful number, since it uses less digits than its factorization.

145014131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81468711 (or 81468709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 145014131140 its reverse (41131410541), we get a palindrome (186145541681).

The spelling of 145014131140 in words is "one hundred forty-five billion, fourteen million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 81468613 162937226 325874452 407343065 814686130 1629372260 7250706557 14501413114 29002826228 36253532785 72507065570 145014131140