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142844264640 = 2635571123857
BaseRepresentation
bin1000010100001000101…
…1101000000011000000
3111122201001200111100000
42011002023220003000
54320021112432030
6145342144200000
713214546134020
oct2050213500300
9448631614300
10142844264640
1155641955280
1223826309000
1310615c19c1c
146cb1295a80
153ab07a1860
hex21422e80c0

142844264640 has 672 divisors, whose sum is σ = 635274791424. Its totient is φ = 29680680960.

The previous prime is 142844264567. The next prime is 142844264653. The reversal of 142844264640 is 46462448241.

142844264640 is a `hidden beast` number, since 142 + 8 + 4 + 42 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5975592 + ... + 5999448.

It is an arithmetic number, because the mean of its divisors is an integer number (945349392).

Almost surely, 2142844264640 is an apocalyptic number.

142844264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142844264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317637395712).

142844264640 is an abundant number, since it is smaller than the sum of its proper divisors (492430526784).

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

142844264640 is a wasteful number, since it uses less digits than its factorization.

142844264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23907 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 142844264640 in words is "one hundred forty-two billion, eight hundred forty-four million, two hundred sixty-four thousand, six hundred forty".