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144311000200400 = 24521132797954591
BaseRepresentation
bin100000110100000000000101…
…111001110111010011010000
3200220221222220201200100102002
4200310000011321313103100
5122403342412022403100
61230531320330413132
742253061054263625
oct4064000571672320
9626858821610362
10144311000200400
1141a88a51484520
1214228531b911a8
13626a613302647
14278c99269234c
1511a3cd87342d5
hex834005e774d0

144311000200400 has 60 divisors (see below), whose sum is σ = 378226012354944. Its totient is φ = 52476727344000.

The previous prime is 144311000200321. The next prime is 144311000200459. The reversal of 144311000200400 is 4002000113441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16398972896 + ... + 16398981695.

Almost surely, 2144311000200400 is an apocalyptic number.

144311000200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311000200400 is an abundant number, since it is smaller than the sum of its proper divisors (233915012154544).

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

144311000200400 is a wasteful number, since it uses less digits than its factorization.

144311000200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32797954620 (or 32797954609 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144311000200400 its reverse (4002000113441), we get a palindrome (148313000313841).

The spelling of 144311000200400 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32797954591 65595909182 131191818364 163989772955 262383636728 327979545910 360777500501 524767273456 655959091820 721555001002 819948864775 1311918183640 1443110002004 1639897729550 1803887502505 2623836367280 2886220004008 3279795459100 3607775005010 5772440008016 6559590918200 7215550010020 9019437512525 13119181836400 14431100020040 18038875025050 28862200040080 36077750050100 72155500100200 144311000200400