Search a number
-
+
142004100244200 = 23352613386090539
BaseRepresentation
bin100000010010011011100111…
…111100111010001011101000
3200121210110101220102101012120
4200102123213330322023220
5122103043344130303300
61222003441050311240
741624312661220635
oct4022334774721350
9617713356371176
10142004100244200
11412796676041a7
1213b15419a28520
136130c1059416c
14270d06c54718c
151163cbc4413a0
hex8126e7f3a2e8

142004100244200 has 96 divisors (see below), whose sum is σ = 440930840301600. Its totient is φ = 37805985480960.

The previous prime is 142004100244133. The next prime is 142004100244211. The reversal of 142004100244200 is 2442001400241.

142004100244200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 192677470 + ... + 193413069.

It is an arithmetic number, because the mean of its divisors is an integer number (4593029586475).

Almost surely, 2142004100244200 is an apocalyptic number.

142004100244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142004100244200 is an abundant number, since it is smaller than the sum of its proper divisors (298926740057400).

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

142004100244200 is a wasteful number, since it uses less digits than its factorization.

142004100244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386091171 (or 386091162 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142004100244200 its reverse (2442001400241), we get a palindrome (144446101644441).

The spelling of 142004100244200 in words is "one hundred forty-two trillion, four billion, one hundred million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 613 1226 1839 2452 3065 3678 4904 6130 7356 9195 12260 14712 15325 18390 24520 30650 36780 45975 61300 73560 91950 122600 183900 367800 386090539 772181078 1158271617 1544362156 1930452695 2316543234 3088724312 3860905390 4633086468 5791358085 7721810780 9266172936 9652263475 11582716170 15443621560 19304526950 23165432340 28956790425 38609053900 46330864680 57913580850 77218107800 115827161700 231654323400 236673500407 473347000814 710020501221 946694001628 1183367502035 1420041002442 1893388003256 2366735004070 2840082004884 3550102506105 4733470008140 5680164009768 5916837510175 7100205012210 9466940016280 11833675020350 14200410024420 17750512530525 23667350040700 28400820048840 35501025061050 47334700081400 71002050122100 142004100244200