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4031142144 = 28319276257
BaseRepresentation
bin1111000001000110…
…0101100100000000
3101101221022020102220
43300101211210000
531223433022034
61504001211040
7201616100001
oct36021454400
911357266386
104031142144
111789524837
12946030a80
134c3206513
142a353d1a8
15188d77749
hexf0465900

4031142144 has 72 divisors (see below), whose sum is σ = 11293427040. Its totient is φ = 1272987648.

The previous prime is 4031142131. The next prime is 4031142151. The reversal of 4031142144 is 4412411304.

It is a super-3 number, since 3×40311421443 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123537 + ... + 152720.

Almost surely, 24031142144 is an apocalyptic number.

It is an amenable number.

4031142144 is an abundant number, since it is smaller than the sum of its proper divisors (7262284896).

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

4031142144 is a wasteful number, since it uses less digits than its factorization.

4031142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276295 (or 276281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4031142144 is about 63491.2761251497. The cubic root of 4031142144 is about 1591.5099962467.

Adding to 4031142144 its reverse (4412411304), we get a palindrome (8443553448).

The spelling of 4031142144 in words is "four billion, thirty-one million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 276257 552514 828771 1105028 1657542 2210056 3315084 4420112 5248883 6630168 8840224 10497766 13260336 15746649 17680448 20995532 26520672 31493298 35360896 41991064 53041344 62986596 70721792 83982128 106082688 125973192 167964256 212165376 251946384 335928512 503892768 671857024 1007785536 1343714048 2015571072 4031142144