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142307241120 = 25345114197251
BaseRepresentation
bin1000010010001000101…
…1000010110010100000
3111121022122011212120000
42010202023002302200
54312421123203440
6145213002020000
713165335406542
oct2044213026240
9447278155500
10142307241120
1155396800590
12236b64a7600
131055b8a1025
146c5dc23692
153a7d573730
hex21222c2ca0

142307241120 has 960 divisors, whose sum is σ = 569291006592. Its totient is φ = 33177600000.

The previous prime is 142307241101. The next prime is 142307241121. The reversal of 142307241120 is 21142703241.

142307241120 is a `hidden beast` number, since 14 + 230 + 7 + 2 + 411 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142307241121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 566960995 + ... + 566961245.

Almost surely, 2142307241120 is an apocalyptic number.

142307241120 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 142307241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284645503296).

142307241120 is an abundant number, since it is smaller than the sum of its proper divisors (426983765472).

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

142307241120 is a wasteful number, since it uses less digits than its factorization.

142307241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 142307241120 its reverse (21142703241), we get a palindrome (163449944361).

The spelling of 142307241120 in words is "one hundred forty-two billion, three hundred seven million, two hundred forty-one thousand, one hundred twenty".