Search a number
-
+
144040304402220 = 223537233467596291
BaseRepresentation
bin100000110000000011111111…
…001011010101111100101100
3200220000010012110210000101010
4200300003333023111330230
5122334424020411332340
61230203111412145220
742224366010046062
oct4060037713257454
9626003173700333
10144040304402220
1141994171791836
12141a3b86608210
13624ac3366b135
14277d8333d6032
15119bc43a5bb80
hex8300ff2d5f2c

144040304402220 has 192 divisors, whose sum is σ = 416882410753536. Its totient is φ = 37132476180480.

The previous prime is 144040304402119. The next prime is 144040304402233. The reversal of 144040304402220 is 22204403040441.

144040304402220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241262275 + ... + 241858565.

It is an arithmetic number, because the mean of its divisors is an integer number (2171262556008).

Almost surely, 2144040304402220 is an apocalyptic number.

144040304402220 is a gapful number since it is divisible by the number (10) 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 144040304402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208441205376768).

144040304402220 is an abundant number, since it is smaller than the sum of its proper divisors (272842106351316).

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

144040304402220 is a wasteful number, since it uses less digits than its factorization.

144040304402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597040 (or 597038 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 144040304402220 its reverse (22204403040441), we get a palindrome (166244707442661).

The spelling of 144040304402220 in words is "one hundred forty-four trillion, forty billion, three hundred four million, four hundred two thousand, two hundred twenty".