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142194769920 = 2193357241
BaseRepresentation
bin1000010001101101111…
…0000000000000000000
3111121000210112202002000
42010123132000000000
54312203330114140
6145153503224000
713162501413300
oct2043336000000
9447023482060
10142194769920
1155339271285
12236848a8000
13105414b1c18
146c4cd07600
153a73758a30
hex211b780000

142194769920 has 960 divisors, whose sum is σ = 602469252000. Its totient is φ = 31708938240.

The previous prime is 142194769919. The next prime is 142194769943. The reversal of 142194769920 is 29967491241.

142194769920 is a `hidden beast` number, since 142 + 1 + 9 + 476 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468165100 + ... + 3468165140.

Almost surely, 2142194769920 is an apocalyptic number.

142194769920 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 142194769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301234626000).

142194769920 is an abundant number, since it is smaller than the sum of its proper divisors (460274482080).

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

142194769920 is an frugal number, since it uses more digits than its factorization.

142194769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 142194769920 in words is "one hundred forty-two billion, one hundred ninety-four million, seven hundred sixty-nine thousand, nine hundred twenty".