Search a number
-
+
108595142000 = 2453413314001
BaseRepresentation
bin110010100100011000…
…1100101110101110000
3101101022011220210111022
41211020301211311300
53234400324021000
6121515442435012
710563042322352
oct1451061456560
9341264823438
10108595142000
1142067143544
1219068362a68
13a31843a197
1453827a90d2
152c58ae3585
hex1948c65d70

108595142000 has 160 divisors (see below), whose sum is σ = 269867602368. Its totient is φ = 42240000000.

The previous prime is 108595141997. The next prime is 108595142003. The reversal of 108595142000 is 241595801.

It is an interprime number because it is at equal distance from previous prime (108595141997) and next prime (108595142003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108595142003) 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 31 ways as a sum of consecutive naturals, for example, 27140000 + ... + 27144000.

Almost surely, 2108595142000 is an apocalyptic number.

108595142000 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 108595142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134933801184).

108595142000 is an abundant number, since it is smaller than the sum of its proper divisors (161272460368).

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

108595142000 is a wasteful number, since it uses less digits than its factorization.

108595142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 108595142000 in words is "one hundred eight billion, five hundred ninety-five million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 331 400 410 500 656 662 820 1000 1025 1324 1640 1655 2000 2050 2648 3280 3310 4001 4100 5125 5296 6620 8002 8200 8275 10250 13240 13571 16004 16400 16550 20005 20500 26480 27142 32008 33100 40010 41000 41375 54284 64016 66200 67855 80020 82000 82750 100025 108568 132400 135710 160040 164041 165500 200050 217136 271420 320080 328082 331000 339275 400100 500125 542840 656164 662000 678550 800200 820205 1000250 1085680 1312328 1324331 1357100 1600400 1640410 1696375 2000500 2624656 2648662 2714200 3280820 3392750 4001000 4101025 5297324 5428400 6561640 6621655 6785500 8002000 8202050 10594648 13123280 13243310 13571000 16404100 20505125 21189296 26486620 27142000 32808200 33108275 41010250 52973240 54297571 65616400 66216550 82020500 105946480 108595142 132433100 164041000 165541375 217190284 264866200 271487855 328082000 331082750 434380568 529732400 542975710 662165500 868761136 1085951420 1324331000 1357439275 2171902840 2648662000 2714878550 4343805680 5429757100 6787196375 10859514200 13574392750 21719028400 27148785500 54297571000 108595142000