Search a number
-
+
158924163793140 = 223251974481786909
BaseRepresentation
bin100100001000101001101010…
…010101000100000011110100
3202211201000001020002011011200
4210020221222111010003310
5131312303141412340030
61322000430345332500
745321614634331644
oct4410515225040364
9684630036064150
10158924163793140
11467023a5353769
12159a8698a97130
136a8a63b133605
142b35d83356524
151358eaee68d60
hex908a6a5440f4

158924163793140 has 72 divisors (see below), whose sum is σ = 484517019266280. Its totient is φ = 42164651230464.

The previous prime is 158924163793069. The next prime is 158924163793189. The reversal of 158924163793140 is 41397361429851.

158924163793140 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 2 + 416 + 3 + 79 + 3 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84793820222736 + 74130343570404 = 9208356^2 + 8609898^2 .

It is a super-2 number, since 2×1589241637931402 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 2240857995 + ... + 2240928914.

It is an arithmetic number, because the mean of its divisors is an integer number (6729403045365).

It is a 1-persistent number, because it is pandigital, but 2⋅158924163793140 = 317848327586280 is not.

Almost surely, 2158924163793140 is an apocalyptic number.

158924163793140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

158924163793140 is an abundant number, since it is smaller than the sum of its proper divisors (325592855473140).

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

158924163793140 is a wasteful number, since it uses less digits than its factorization.

158924163793140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481787121 (or 4481787116 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 158924163793140 in words is "one hundred fifty-eight trillion, nine hundred twenty-four billion, one hundred sixty-three million, seven hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 4481786909 8963573818 13445360727 17927147636 22408934545 26890721454 40336082181 44817869090 53781442908 67226803635 80672164362 89635738180 134453607270 161344328724 201680410905 268907214540 403360821810 806721643620 882912021073 1765824042146 2648736063219 3531648084292 4414560105365 5297472126438 7946208189657 8829120210730 10594944252876 13243680316095 15892416379314 17658240421460 26487360632190 31784832758628 39731040948285 52974721264380 79462081896570 158924163793140