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2031132144 = 243537310937
BaseRepresentation
bin111100100010000…
…1001110111110000
312020112221012111110
41321010021313300
513124432212034
6533314113320
7101222224026
oct17104116760
95215835443
102031132144
11952580708
1248827b840
13264a57752
14153a80716
15bd4b1de9
hex79109df0

2031132144 has 80 divisors (see below), whose sum is σ = 5419822752. Its totient is φ = 655110144.

The previous prime is 2031132143. The next prime is 2031132149. The reversal of 2031132144 is 4412311302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031132144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031132143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180244 + ... + 191180.

Almost surely, 22031132144 is an apocalyptic number.

2031132144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709911376).

2031132144 is an abundant number, since it is smaller than the sum of its proper divisors (3388690608).

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

2031132144 is a wasteful number, since it uses less digits than its factorization.

2031132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2031132144 is about 45068.0834294071. The cubic root of 2031132144 is about 1266.4247605754.

Adding to 2031132144 its reverse (4412311302), we get a palindrome (6443443446).

The spelling of 2031132144 in words is "two billion, thirty-one million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 73 106 146 159 212 219 292 318 424 438 584 636 848 876 1168 1272 1752 2544 3504 3869 7738 10937 11607 15476 21874 23214 30952 32811 43748 46428 61904 65622 87496 92856 131244 174992 185712 262488 524976 579661 798401 1159322 1596802 1738983 2318644 2395203 3193604 3477966 4637288 4790406 6387208 6955932 9274576 9580812 12774416 13911864 19161624 27823728 38323248 42315253 84630506 126945759 169261012 253891518 338522024 507783036 677044048 1015566072 2031132144