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144241114213000 = 2353720605873459
BaseRepresentation
bin100000110010111111000000…
…010111111110101010001000
3200220201022112020212100102101
4200302333000113332222020
5122401221300214304000
61230435241511243144
742245035163220340
oct4062770027765210
9626638466770371
10144241114213000
1141a61349684842
1214216a893794b4
136263b5669688c
142789442c77d20
1511a2098144e6a
hex832fc05fea88

144241114213000 has 64 divisors (see below), whose sum is σ = 385741951171200. Its totient is φ = 49454096299200.

The previous prime is 144241114212931. The next prime is 144241114213003. The reversal of 144241114213000 is 312411142441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144241114213000.

It is not an unprimeable number, because it can be changed into a prime (144241114213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10302929730 + ... + 10302943729.

It is an arithmetic number, because the mean of its divisors is an integer number (6027217987050).

Almost surely, 2144241114213000 is an apocalyptic number.

144241114213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241114213000 is an abundant number, since it is smaller than the sum of its proper divisors (241500836958200).

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

144241114213000 is a wasteful number, since it uses less digits than its factorization.

144241114213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20605873487 (or 20605873473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144241114213000 its reverse (312411142441), we get a palindrome (144553525355441).

The spelling of 144241114213000 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred fourteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 20605873459 41211746918 82423493836 103029367295 144241114213 164846987672 206058734590 288482228426 412117469180 515146836475 576964456852 721205571065 824234938360 1030293672950 1153928913704 1442411142130 2060587345900 2575734182375 2884822284260 3606027855325 4121174691800 5151468364750 5769644568520 7212055710650 10302936729500 14424111421300 18030139276625 20605873459000 28848222842600 36060278553250 72120557106500 144241114213000