Base | Representation |
---|---|
bin | 111111111110011000… |
… | …0111001001110110110 |
3 | 111010121120110221101200 |
4 | 1333330300321032312 |
5 | 4222330433140232 |
6 | 143040314033330 |
7 | 12632343234003 |
oct | 1777460711666 |
9 | 433546427350 |
10 | 137384661942 |
11 | 532a0072a30 |
12 | 22761a18846 |
13 | cc55aab898 |
14 | 69141568aa |
15 | 389131177c |
hex | 1ffcc393b6 |
137384661942 has 96 divisors (see below), whose sum is σ = 326216535840. Its totient is φ = 41441280000.
The previous prime is 137384661923. The next prime is 137384661989. The reversal of 137384661942 is 249166483731.
137384661942 is a `hidden beast` number, since 1 + 373 + 84 + 6 + 6 + 194 + 2 = 666.
It is a super-2 number, since 2×1373846619422 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45175942 + ... + 45178982.
It is an arithmetic number, because the mean of its divisors is an integer number (3398088915).
Almost surely, 2137384661942 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137384661942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163108267920).
137384661942 is an abundant number, since it is smaller than the sum of its proper divisors (188831873898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137384661942 is a wasteful number, since it uses less digits than its factorization.
137384661942 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4030 (or 4027 counting only the distinct ones).
The product of its digits is 5225472, while the sum is 54.
The spelling of 137384661942 in words is "one hundred thirty-seven billion, three hundred eighty-four million, six hundred sixty-one thousand, nine hundred forty-two".
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