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144311213044400 = 2452715081380741
BaseRepresentation
bin100000110100000000010010…
…100101110011001010110000
3200220222000110120011221111012
4200310000102211303022300
5122403343331014410100
61230531353412410052
742253066250364233
oct4064002245631260
9626860416157435
10144311213044400
1141a8905063a356
1214228591316928
13626a648435b3c
14278c9b2a5941a
1511a3cec279135
hex8340129732b0

144311213044400 has 60 divisors (see below), whose sum is σ = 351590896300464. Its totient is φ = 56911464288000.

The previous prime is 144311213044399. The next prime is 144311213044421. The reversal of 144311213044400 is 4440312113441.

144311213044400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2540661971 + ... + 2540718770.

Almost surely, 2144311213044400 is an apocalyptic number.

144311213044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311213044400 is an abundant number, since it is smaller than the sum of its proper divisors (207279683256064).

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

144311213044400 is a wasteful number, since it uses less digits than its factorization.

144311213044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081380830 (or 5081380819 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144311213044400 its reverse (4440312113441), we get a palindrome (148751525157841).

The spelling of 144311213044400 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5680 7100 14200 28400 5081380741 10162761482 20325522964 25406903705 40651045928 50813807410 81302091856 101627614820 127034518525 203255229640 254069037050 360778032611 406510459280 508138074100 721556065222 1016276148200 1443112130444 1803890163055 2032552296400 2886224260888 3607780326110 5772448521776 7215560652220 9019450815275 14431121304440 18038901630550 28862242608880 36077803261100 72155606522200 144311213044400