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1441431432 = 23327358367
BaseRepresentation
bin101010111101010…
…0111111110001000
310201110022022012100
41111322213332020
510423001301212
6355010513400
750501652000
oct12572477610
93643268170
101441431432
1167a717851
12342895860
1319c826a0c
14d9619000
158682abdc
hex55ea7f88

1441431432 has 96 divisors (see below), whose sum is σ = 4552704000. Its totient is φ = 411830496.

The previous prime is 1441431427. The next prime is 1441431473. The reversal of 1441431432 is 2341341441.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1441431396 and 1441431405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4488 + ... + 53879.

It is an arithmetic number, because the mean of its divisors is an integer number (47424000).

Almost surely, 21441431432 is an apocalyptic number.

1441431432 is a gapful number since it is divisible by the number (12) 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 1441431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276352000).

1441431432 is an abundant number, since it is smaller than the sum of its proper divisors (3111272568).

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

1441431432 is a wasteful number, since it uses less digits than its factorization.

1441431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58400 (or 58379 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1441431432 is about 37966.1880098595. The cubic root of 1441431432 is about 1129.6172854887.

Adding to 1441431432 its reverse (2341341441), we get a palindrome (3782772873).

The spelling of 1441431432 in words is "one billion, four hundred forty-one million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 12348 24696 58367 116734 175101 233468 350202 408569 466936 525303 700404 817138 1050606 1225707 1400808 1634276 2101212 2451414 2859983 3268552 3677121 4202424 4902828 5719966 7354242 8579949 9805656 11439932 14708484 17159898 20019881 22879864 25739847 29416968 34319796 40039762 51479694 60059643 68639592 80079524 102959388 120119286 160159048 180178929 205918776 240238572 360357858 480477144 720715716 1441431432