Search a number
-
+
5431401000 = 233353201163
BaseRepresentation
bin1010000111011110…
…01001101000101000
3112000112010202111000
411003233021220220
542110414313000
62254541435000
7251411101224
oct50357115050
915015122430
105431401000
11233797aa63
121076b6ba60
13687345a5c
143974bb784
1521bc6e000
hex143bc9a28

5431401000 has 128 divisors (see below), whose sum is σ = 18828950400. Its totient is φ = 1448366400.

The previous prime is 5431400983. The next prime is 5431401011. The reversal of 5431401000 is 1041345.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 73582 + ... + 127581.

It is an arithmetic number, because the mean of its divisors is an integer number (147101175).

Almost surely, 25431401000 is an apocalyptic number.

5431401000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5431401000 is an abundant number, since it is smaller than the sum of its proper divisors (13397549400).

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

5431401000 is a wasteful number, since it uses less digits than its factorization.

5431401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201193 (or 201173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5431401000 is about 73698.0393226306. The cubic root of 5431401000 is about 1757.8047052099.

Adding to 5431401000 its reverse (1041345), we get a palindrome (5432442345).

The spelling of 5431401000 in words is "five billion, four hundred thirty-one million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 201163 402326 603489 804652 1005815 1206978 1609304 1810467 2011630 2413956 3017445 3620934 4023260 4827912 5029075 5431401 6034890 7241868 8046520 9052335 10058150 10862802 12069780 14483736 15087225 18104670 20116300 21725604 24139560 25145375 27157005 30174450 36209340 40232600 43451208 45261675 50290750 54314010 60348900 72418680 75436125 90523350 100581500 108628020 120697800 135785025 150872250 181046700 201163000 217256040 226308375 271570050 301744500 362093400 452616750 543140100 603489000 678925125 905233500 1086280200 1357850250 1810467000 2715700500 5431401000