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144442203404040 = 23325513167781867
BaseRepresentation
bin100000110101111010010010…
…001110010111011100001000
3200221102112120111122200010200
4200311322102032113130020
5122413020113032412130
61231111455430412200
742265414311151413
oct4065722216273410
9627375514580120
10144442203404040
114202965a248323
1214249a49801060
136279ac2550899
14279507b882b7a
1511a7417017760
hex835e92397708

144442203404040 has 96 divisors (see below), whose sum is σ = 469438676254080. Its totient is φ = 38517796584576.

The previous prime is 144442203403999. The next prime is 144442203404101. The reversal of 144442203404040 is 40404302244441.

It is a happy number.

144442203404040 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 203 + 40 + 404 + 0 = 666.

144442203404040 is digitally balanced in base 3, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 144442203403986 and 144442203404004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184349187 + ... + 185131053.

It is an arithmetic number, because the mean of its divisors is an integer number (4889986210980).

Almost surely, 2144442203404040 is an apocalyptic number.

144442203404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442203404040 is an abundant number, since it is smaller than the sum of its proper divisors (324996472850040).

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

144442203404040 is a wasteful number, since it uses less digits than its factorization.

144442203404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295051 (or 1295044 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 144442203404040 its reverse (40404302244441), we get a palindrome (184846505648481).

The spelling of 144442203404040 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred three million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 513167 781867 1026334 1539501 1563734 2052668 2345601 2565835 3079002 3127468 3909335 4105336 4618503 4691202 5131670 6158004 6254936 7036803 7697505 7818670 9237006 9382404 10263340 11728005 12316008 14073606 15395010 15637340 18474012 18764808 20526680 23092515 23456010 28147212 30790020 31274680 35184015 36948024 46185030 46912020 56294424 61580040 70368030 92370060 93824040 140736060 184740120 281472120 401228342789 802456685578 1203685028367 1604913371156 2006141713945 2407370056734 3209826742312 3611055085101 4012283427890 4814740113468 6018425141835 7222110170202 8024566855780 9629480226936 12036850283670 14444220340404 16049133711560 18055275425505 24073700567340 28888440680808 36110550851010 48147401134680 72221101702020 144442203404040