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144040004202444 = 223729253792811733
BaseRepresentation
bin100000110000000011101101…
…010010001010111111001100
3200220000002102112220021200220
4200300003231102022333030
5122334422412033434234
61230203021525551340
742224355403305060
oct4060035522127714
9626002375807626
10144040004202444
1141994028291249
12141a3b01b75550
13624abb640042c
14277d8055adaa0
15119bc2750da49
hex8300ed48afcc

144040004202444 has 576 divisors, whose sum is σ = 412143183728640. Its totient is φ = 38332852346880.

The previous prime is 144040004202443. The next prime is 144040004202481. The reversal of 144040004202444 is 444202400040441.

It is not an unprimeable number, because it can be changed into a prime (144040004202443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83115985402 + ... + 83115987134.

It is an arithmetic number, because the mean of its divisors is an integer number (715526360640).

Almost surely, 2144040004202444 is an apocalyptic number.

144040004202444 is a gapful number since it is divisible by the number (14) 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 144040004202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206071591864320).

144040004202444 is an abundant number, since it is smaller than the sum of its proper divisors (268103179526196).

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

144040004202444 is a wasteful number, since it uses less digits than its factorization.

144040004202444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 144040004202444 its reverse (444202400040441), we get a palindrome (588242404242885).

The spelling of 144040004202444 in words is "one hundred forty-four trillion, forty billion, four million, two hundred two thousand, four hundred forty-four".