Base | Representation |
---|---|
bin | 1000010010011001001… |
… | …1111111000000000000 |
3 | 111121111110212102200000 |
4 | 2010212103333000000 |
5 | 4313041413200020 |
6 | 145223522400000 |
7 | 13200140633430 |
oct | 2044623770000 |
9 | 447443772600 |
10 | 142376693760 |
11 | 55421a28364 |
12 | 23715800000 |
13 | 105700aa672 |
14 | 6c691422c0 |
15 | 3a846e2090 |
hex | 21264ff000 |
142376693760 has 1248 divisors, whose sum is σ = 603365048832. Its totient is φ = 31531991040.
The previous prime is 142376693747. The next prime is 142376693773. The reversal of 142376693760 is 67396673241.
It is a happy number.
142376693760 is a `hidden beast` number, since 1 + 423 + 7 + 66 + 93 + 76 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (142376693747) and next prime (142376693773).
It is a super-2 number, since 2×1423766937602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 142376693697 and 142376693706.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125025247 + ... + 2125025313.
It is an arithmetic number, because the mean of its divisors is an integer number (483465584).
Almost surely, 2142376693760 is an apocalyptic number.
142376693760 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 142376693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301682524416).
142376693760 is an abundant number, since it is smaller than the sum of its proper divisors (460988355072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142376693760 is an frugal number, since it uses more digits than its factorization.
142376693760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 6858432, while the sum is 54.
The spelling of 142376693760 in words is "one hundred forty-two billion, three hundred seventy-six million, six hundred ninety-three thousand, seven hundred sixty".
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