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142343044304400 = 243252174156728457
BaseRepresentation
bin100000010111010111010010…
…100101111000111000010000
3200122222212021111110122100200
4200113113102211320320100
5122124122023320220100
61222423254122015200
741660642222206362
oct4027272245707020
9618885244418320
10142343044304400
114139a3896a8315
1213b6b051647500
136156b78780274
142721623906d32
15116ca08a55e00
hex8175d2978e10

142343044304400 has 360 divisors, whose sum is σ = 535783721100264. Its totient is φ = 34853963366400.

The previous prime is 142343044304393. The next prime is 142343044304437. The reversal of 142343044304400 is 4403440343241.

142343044304400 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 304 + 4 + 304 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 54476267686416 + 87866776617984 = 7380804^2 + 9373728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25855029 + ... + 30873428.

Almost surely, 2142343044304400 is an apocalyptic number.

142343044304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142343044304400 is an abundant number, since it is smaller than the sum of its proper divisors (393440676795864).

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

142343044304400 is a wasteful number, since it uses less digits than its factorization.

142343044304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56728539 (or 56728525 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 142343044304400 its reverse (4403440343241), we get a palindrome (146746484647641).

The spelling of 142343044304400 in words is "one hundred forty-two trillion, three hundred forty-three billion, forty-four million, three hundred four thousand, four hundred".