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142214123520 = 212345737331
BaseRepresentation
bin1000010001110010011…
…1110101000000000000
3111121002010222000020000
42010130213311000000
54312223303423040
6145155434120000
713163125050630
oct2043447650000
9447063860200
10142214123520
115534918a997
122368b280000
13105454ca061
146c517046c0
153a752cd130
hex211c9f5000

142214123520 has 1040 divisors, whose sum is σ = 600185106048. Its totient is φ = 31531991040.

The previous prime is 142214123459. The next prime is 142214123531. The reversal of 142214123520 is 25321412241.

142214123520 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 14 + 123 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 429649755 + ... + 429650085.

Almost surely, 2142214123520 is an apocalyptic number.

142214123520 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 142214123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300092553024).

142214123520 is an abundant number, since it is smaller than the sum of its proper divisors (457970982528).

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

142214123520 is an equidigital number, since it uses as much as digits as its factorization.

142214123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 142214123520 its reverse (25321412241), we get a palindrome (167535535761).

The spelling of 142214123520 in words is "one hundred forty-two billion, two hundred fourteen million, one hundred twenty-three thousand, five hundred twenty".