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142245479040 = 273572171931151
BaseRepresentation
bin1000010001111001111…
…1011100001010000000
3111121011022222000220120
42010132133130022000
54312304320312130
6145202514140240
713163655423300
oct2043637341200
9447138860816
10142245479040
1155364956845
1223699881680
131054bb58012
146c55947600
153a77e23910
hex211e7dc280

142245479040 has 1536 divisors, whose sum is σ = 610832793600. Its totient is φ = 27869184000.

The previous prime is 142245479027. The next prime is 142245479053. The reversal of 142245479040 is 40974542241.

It is an interprime number because it is at equal distance from previous prime (142245479027) and next prime (142245479053).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 142245478983 and 142245479001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 942022965 + ... + 942023115.

It is an arithmetic number, because the mean of its divisors is an integer number (397677600).

Almost surely, 2142245479040 is an apocalyptic number.

142245479040 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 142245479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305416396800).

142245479040 is an abundant number, since it is smaller than the sum of its proper divisors (468587314560).

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

142245479040 is a wasteful number, since it uses less digits than its factorization.

142245479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 142245479040 in words is "one hundred forty-two billion, two hundred forty-five million, four hundred seventy-nine thousand, forty".