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142077192048 = 24341118315443
BaseRepresentation
bin1000010001010001110…
…1011110011101110000
3111120201121022011120000
42010110131132131300
54311433230121143
6145134103150000
713156543130541
oct2042435363560
9446647264500
10142077192048
1155288964290
1223651445300
131052302560c
146c3b45c4c8
153a68280bd3
hex211475e770

142077192048 has 200 divisors, whose sum is σ = 448923040896. Its totient is φ = 43022275200.

The previous prime is 142077192041. The next prime is 142077192067. The reversal of 142077192048 is 840291770241.

142077192048 is a `hidden beast` number, since 1 + 420 + 7 + 7 + 19 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142077191994 and 142077192012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142077192041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26100015 + ... + 26105457.

Almost surely, 2142077192048 is an apocalyptic number.

142077192048 is a gapful number since it is divisible by the number (18) 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 142077192048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224461520448).

142077192048 is an abundant number, since it is smaller than the sum of its proper divisors (306845848848).

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

142077192048 is a wasteful number, since it uses less digits than its factorization.

142077192048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 142077192048 in words is "one hundred forty-two billion, seventy-seven million, one hundred ninety-two thousand, forty-eight".