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142402777000 = 235311194671459
BaseRepresentation
bin1000010010011111011…
…1011110111110101000
3111121120021221121010221
42010213313132332220
54313120102331000
6145230253415424
713200605430031
oct2044767367650
9447507847127
10142402777000
1155435723060
122372249a574
1310575610933
146c6c7b1a88
153a86b4561a
hex2127ddefa8

142402777000 has 256 divisors, whose sum is σ = 383730048000. Its totient is φ = 48918816000.

The previous prime is 142402776961. The next prime is 142402777007. The reversal of 142402777000 is 777204241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142402777007) 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, 97602271 + ... + 97603729.

It is an arithmetic number, because the mean of its divisors is an integer number (1498945500).

Almost surely, 2142402777000 is an apocalyptic number.

142402777000 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 142402777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191865024000).

142402777000 is an abundant number, since it is smaller than the sum of its proper divisors (241327271000).

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

142402777000 is a wasteful number, since it uses less digits than its factorization.

142402777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 34.

The spelling of 142402777000 in words is "one hundred forty-two billion, four hundred two million, seven hundred seventy-seven thousand".