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40131144 = 2332557377
BaseRepresentation
bin1001100100010…
…1101001001000
32210111212120200
42121011221020
540233144034
63552052200
7665052264
oct231055110
983455520
1040131144
1120720139
1211534060
138411451
1454890a4
1537caa99
hex2645a48

40131144 has 24 divisors (see below), whose sum is σ = 108688710. Its totient is φ = 13377024.

The previous prime is 40131137. The next prime is 40131149. The reversal of 40131144 is 44113104.

It can be written as a sum of positive squares in only one way, i.e., 37970244 + 2160900 = 6162^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×401311442 = 3221017437497472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40131149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278617 + ... + 278760.

Almost surely, 240131144 is an apocalyptic number.

It is an amenable number.

40131144 is an abundant number, since it is smaller than the sum of its proper divisors (68557566).

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

40131144 is a wasteful number, since it uses less digits than its factorization.

40131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557389 (or 557382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40131144 is about 6334.9146797727. The cubic root of 40131144 is about 342.3685367558.

Adding to 40131144 its reverse (44113104), we get a palindrome (84244248).

The spelling of 40131144 in words is "forty million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 557377 1114754 1672131 2229508 3344262 4459016 5016393 6688524 10032786 13377048 20065572 40131144