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142975810560 = 21035115931427
BaseRepresentation
bin1000010100101000000…
…1011011110000000000
3111200001020012201102010
42011022001123300000
54320303301414220
6145403203452520
713221034223562
oct2051201336000
9450036181363
10142975810560
11556aa132710
1223862387140
131063725724b
146cc4939332
153abc0d81e0
hex214a05bc00

142975810560 has 352 divisors, whose sum is σ = 500063300352. Its totient is φ = 34578104320.

The previous prime is 142975810543. The next prime is 142975810561. The reversal of 142975810560 is 65018579241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142975810561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100192567 + ... + 100193993.

It is an arithmetic number, because the mean of its divisors is an integer number (1420634376).

Almost surely, 2142975810560 is an apocalyptic number.

142975810560 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 142975810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250031650176).

142975810560 is an abundant number, since it is smaller than the sum of its proper divisors (357087489792).

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

142975810560 is a wasteful number, since it uses less digits than its factorization.

142975810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 142975810560 in words is "one hundred forty-two billion, nine hundred seventy-five million, eight hundred ten thousand, five hundred sixty".