Search a number
-
+
142361313000 = 23353346113711
BaseRepresentation
bin1000010010010101100…
…1010011111011101000
3111121110101221000020020
42010211121103323220
54313023444004000
6145222213000440
713166563123524
oct2044531237350
9447411830206
10142361313000
1155414282595
1223710623120
1310569b5391a
146c6709ad84
153a831a4ba0
hex2125653ee8

142361313000 has 128 divisors (see below), whose sum is σ = 444328035840. Its totient is φ = 37949280000.

The previous prime is 142361312983. The next prime is 142361313013. The reversal of 142361313000 is 313163241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10376145 + ... + 10389855.

It is an arithmetic number, because the mean of its divisors is an integer number (3471312780).

Almost surely, 2142361313000 is an apocalyptic number.

142361313000 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 142361313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222164017920).

142361313000 is an abundant number, since it is smaller than the sum of its proper divisors (301966722840).

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

142361313000 is a wasteful number, since it uses less digits than its factorization.

142361313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17196 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 142361313000 its reverse (313163241), we get a palindrome (142674476241).

The spelling of 142361313000 in words is "one hundred forty-two billion, three hundred sixty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3461 6922 10383 13711 13844 17305 20766 27422 27688 34610 41133 41532 51915 54844 68555 69220 82266 83064 86525 103830 109688 137110 138440 164532 173050 205665 207660 259575 274220 329064 342775 346100 411330 415320 432625 519150 548440 685550 692200 822660 865250 1028325 1038300 1297875 1371100 1645320 1713875 1730500 2056650 2076600 2595750 2742200 3427750 3461000 4113300 5141625 5191500 6855500 8226600 10283250 10383000 13711000 20566500 41133000 47453771 94907542 142361313 189815084 237268855 284722626 379630168 474537710 569445252 711806565 949075420 1138890504 1186344275 1423613130 1898150840 2372688550 2847226260 3559032825 4745377100 5694452520 5931721375 7118065650 9490754200 11863442750 14236131300 17795164125 23726885500 28472262600 35590328250 47453771000 71180656500 142361313000