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142344414000 = 2432537908023
BaseRepresentation
bin1000010010010001100…
…0110110001100110000
3111121102020010110011100
42010210120312030300
54313010132222000
6145220410444400
713166266361355
oct2044430661460
9447366113140
10142344414000
1155405790078
1223706a33700
13105664b7b09
146c64b3c62c
153a81967a00
hex2124636330

142344414000 has 120 divisors (see below), whose sum is σ = 497161652832. Its totient is φ = 37958505600.

The previous prime is 142344413999. The next prime is 142344414011. The reversal of 142344414000 is 414443241.

142344414000 is a `hidden beast` number, since 14 + 234 + 4 + 414 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3936012 + ... + 3972011.

Almost surely, 2142344414000 is an apocalyptic number.

142344414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142344414000 is an abundant number, since it is smaller than the sum of its proper divisors (354817238832).

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

142344414000 is a wasteful number, since it uses less digits than its factorization.

142344414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908052 (or 7908033 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142344414000 its reverse (414443241), we get a palindrome (142758857241).

The spelling of 142344414000 in words is "one hundred forty-two billion, three hundred forty-four million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 7908023 15816046 23724069 31632092 39540115 47448138 63264184 71172207 79080230 94896276 118620345 126528368 142344414 158160460 189792552 197700575 237240690 284688828 316320920 355861035 379585104 395401150 474481380 569377656 593101725 632641840 711722070 790802300 948962760 988502875 1138755312 1186203450 1423444140 1581604600 1779305175 1897925520 1977005750 2372406900 2846888280 2965508625 3163209200 3558610350 3954011500 4744813800 5693776560 5931017250 7117220700 7908023000 8896525875 9489627600 11862034500 14234441400 15816046000 17793051750 23724069000 28468882800 35586103500 47448138000 71172207000 142344414000