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990144005140431 = 32490322438507153
BaseRepresentation
bin1110000100100001111101110…
…1101100111110111111001111
311210211210211202011000010120100
43201020133131230332333033
52014240004410303443211
613425505513152222143
7415362354324200601
oct34110373554767717
94724724664003510
10990144005140431
1126754379499aa79
129307465bb3a953
133366424349251b
1413671322ca7171
157970db7a18156
hex38487ddb3efcf

990144005140431 has 12 divisors (see below), whose sum is σ = 1430499708081808. Its totient is φ = 659961372354624.

The previous prime is 990144005140331. The next prime is 990144005140463. The reversal of 990144005140431 is 134041500441099.

It is a happy number.

990144005140431 is a `hidden beast` number, since 9 + 90 + 1 + 4 + 4 + 0 + 0 + 514 + 0 + 43 + 1 = 666.

It is not a de Polignac number, because 990144005140431 - 214 = 990144005124047 is a prime.

It is a super-2 number, since 2×9901440051404312 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990144005140331) 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, 11219209450 + ... + 11219297703.

Almost surely, 2990144005140431 is an apocalyptic number.

990144005140431 is a deficient number, since it is larger than the sum of its proper divisors (440355702941377).

990144005140431 is a wasteful number, since it uses less digits than its factorization.

990144005140431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22438512062 (or 22438512059 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 990144005140431 in words is "nine hundred ninety trillion, one hundred forty-four billion, five million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 4903 14709 44127 22438507153 67315521459 201946564377 110016000571159 330048001713477 990144005140431