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1443240100 = 22522921312
BaseRepresentation
bin101011000000110…
…0001100010100100
310201120201012020001
41112001201202210
510423432140400
6355113351044
750523224041
oct12601414244
93646635201
101443240100
11680742715
12343408484
131a000b033
14d996a1c8
1586a86a6a
hex560618a4

1443240100 has 81 divisors (see below), whose sum is σ = 3268498051. Its totient is φ = 553134400.

The previous prime is 1443240083. The next prime is 1443240131. The reversal of 1443240100 is 10423441.

The square root of 1443240100 is 37990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19838116 + 1423401984 = 4454^2 + 37728^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 11017035 + ... + 11017165.

Almost surely, 21443240100 is an apocalyptic number.

1443240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1443240100 is the 37990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443240100

1443240100 is an abundant number, since it is smaller than the sum of its proper divisors (1825257951).

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

1443240100 is a wasteful number, since it uses less digits than its factorization.

1443240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 1443240100 is about 1130.0895587775.

Adding to 1443240100 its reverse (10423441), we get a palindrome (1453663541).

The spelling of 1443240100 in words is "one billion, four hundred forty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 131 145 262 290 524 580 655 725 841 1310 1450 1682 2620 2900 3275 3364 3799 4205 6550 7598 8410 13100 15196 16820 17161 18995 21025 34322 37990 42050 68644 75980 84100 85805 94975 110171 171610 189950 220342 343220 379900 429025 440684 497669 550855 858050 995338 1101710 1716100 1990676 2203420 2488345 2754275 4976690 5508550 9953380 11017100 12441725 14432401 24883450 28864802 49766900 57729604 72162005 144324010 288648020 360810025 721620050 1443240100