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142970004450 = 233527132350599
BaseRepresentation
bin1000010100100110101…
…1010010001111100010
3111200000211021201221000
42011021223102033202
54320300310120300
6145402435212430
713220633662260
oct2051153221742
9450024251830
10142970004450
11556a6927479
1223860447116
1310635ca3590
146cc3c67430
153abb83cc00
hex2149ad23e2

142970004450 has 384 divisors, whose sum is σ = 505967616000. Its totient is φ = 28853003520.

The previous prime is 142970004449. The next prime is 142970004451. The reversal of 142970004450 is 54400079241.

It is a happy number.

142970004450 is a `hidden beast` number, since 142 + 9 + 70 + 0 + 0 + 445 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142970004449) and next prime (142970004451).

It is not an unprimeable number, because it can be changed into a prime (142970004451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2800251 + ... + 2850849.

It is an arithmetic number, because the mean of its divisors is an integer number (1317624000).

Almost surely, 2142970004450 is an apocalyptic number.

142970004450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142970004450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252983808000).

142970004450 is an abundant number, since it is smaller than the sum of its proper divisors (362997611550).

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

142970004450 is a wasteful number, since it uses less digits than its factorization.

142970004450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50663 (or 50652 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 142970004450 in words is "one hundred forty-two billion, nine hundred seventy million, four thousand, four hundred fifty".