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142244377776 = 243329791011423
BaseRepresentation
bin1000010001111001101…
…1001111010010110000
3111121011020220002021000
42010132123033102300
54312304030042101
6145202434402000
713163643155514
oct2043633172260
9447136802230
10142244377776
1155364274406
1223699430300
131054b860997
146c5573c144
153a77ca7486
hex211e6cf4b0

142244377776 has 320 divisors, whose sum is σ = 432258048000. Its totient is φ = 44721331200.

The previous prime is 142244377771. The next prime is 142244377823. The reversal of 142244377776 is 677773442241.

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

It is not an unprimeable number, because it can be changed into a prime (142244377771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99960201 + ... + 99961623.

It is an arithmetic number, because the mean of its divisors is an integer number (1350806400).

Almost surely, 2142244377776 is an apocalyptic number.

142244377776 is a gapful number since it is divisible by the number (16) 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 142244377776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216129024000).

142244377776 is an abundant number, since it is smaller than the sum of its proper divisors (290013670224).

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

142244377776 is a wasteful number, since it uses less digits than its factorization.

142244377776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1637 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 54.

The spelling of 142244377776 in words is "one hundred forty-two billion, two hundred forty-four million, three hundred seventy-seven thousand, seven hundred seventy-six".