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1441130112 = 27321250981
BaseRepresentation
bin101010111100101…
…1110011010000000
310201102201222212100
41111321132122000
510422412130422
6355000230400
750466255342
oct12571363200
93642658770
101441130112
1167a531424
1234276b400
1319c74c816
14d957b292
15867bb7ac
hex55e5e680

1441130112 has 48 divisors (see below), whose sum is σ = 4147005330. Its totient is φ = 480376320.

The previous prime is 1441130101. The next prime is 1441130179. The reversal of 1441130112 is 2110311441.

It can be written as a sum of positive squares in only one way, i.e., 1439747136 + 1382976 = 37944^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 624339 + ... + 626642.

Almost surely, 21441130112 is an apocalyptic number.

1441130112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1441130112 is an abundant number, since it is smaller than the sum of its proper divisors (2705875218).

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

1441130112 is a wasteful number, since it uses less digits than its factorization.

1441130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251001 (or 1250986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1441130112 is about 37962.2195346900. The cubic root of 1441130112 is about 1129.5385674418.

Adding to 1441130112 its reverse (2110311441), we get a palindrome (3551441553).

It can be divided in two parts, 144 and 1130112, that added together give a triangular number (1130256 = T1503).

The spelling of 1441130112 in words is "one billion, four hundred forty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1250981 2501962 3752943 5003924 7505886 10007848 11258829 15011772 20015696 22517658 30023544 40031392 45035316 60047088 80062784 90070632 120094176 160125568 180141264 240188352 360282528 480376704 720565056 1441130112