Base | Representation |
---|---|
bin | 100000010111010101010111… |
… | …111001000110001011010000 |
3 | 200122222122222000220211200000 |
4 | 200113111113321012023100 |
5 | 122124103314322221112 |
6 | 1222422313543530000 |
7 | 41660540214546000 |
oct | 4027252771061320 |
9 | 618878860824600 |
10 | 142340985742032 |
11 | 413995226a1a00 |
12 | 13b6a778159900 |
13 | 615690b14041c |
14 | 27214aa366000 |
15 | 116c937e767dc |
hex | 817557e462d0 |
142340985742032 has 2880 divisors, whose sum is σ = 590415710976000. Its totient is φ = 32953394073600.
The previous prime is 142340985742027. The next prime is 142340985742147. The reversal of 142340985742032 is 230247589043241.
142340985742032 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 40 + 9 + 8 + 574 + 20 + 3 + 2 = 666.
It is a super-2 number, since 2×1423409857420322 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 142340985742032.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52120462107 + ... + 52120464837.
It is an arithmetic number, because the mean of its divisors is an integer number (205005455200).
Almost surely, 2142340985742032 is an apocalyptic number.
142340985742032 is a gapful number since it is divisible by the number (12) 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 142340985742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295207855488000).
142340985742032 is an abundant number, since it is smaller than the sum of its proper divisors (448074725233968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142340985742032 is a wasteful number, since it uses less digits than its factorization.
142340985742032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2833 (or 2790 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 54.
The spelling of 142340985742032 in words is "one hundred forty-two trillion, three hundred forty billion, nine hundred eighty-five million, seven hundred forty-two thousand, thirty-two".
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