Search a number
-
+
142324242100 = 225219126932767
BaseRepresentation
bin1000010010001100101…
…1111001011010110100
3111121100211011121111221
42010203023321122310
54312440001221400
6145214410240124
713165633045225
oct2044313713264
9447324147457
10142324242100
11553a5362687
1223700126044
1310562274391
146c621ab24c
153a7ecd0c1a
hex21232f96b4

142324242100 has 72 divisors (see below), whose sum is σ = 310688114688. Its totient is φ = 56590147200.

The previous prime is 142324242091. The next prime is 142324242101. The reversal of 142324242100 is 1242423241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142324242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51434917 + ... + 51437683.

It is an arithmetic number, because the mean of its divisors is an integer number (4315112704).

Almost surely, 2142324242100 is an apocalyptic number.

142324242100 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 142324242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344057344).

142324242100 is an abundant number, since it is smaller than the sum of its proper divisors (168363872588).

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

142324242100 is a wasteful number, since it uses less digits than its factorization.

142324242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142324242100 its reverse (1242423241), we get a palindrome (143566665341).

The spelling of 142324242100 in words is "one hundred forty-two billion, three hundred twenty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 2693 2767 3820 4775 5386 5534 9550 10772 11068 13465 13835 19100 26930 27670 53860 55340 67325 69175 134650 138350 269300 276700 514363 528497 1028726 1056994 2057452 2113988 2571815 2642485 5143630 5284970 7451531 10287260 10569940 12859075 13212425 14903062 25718150 26424850 29806124 37257655 51436300 52849700 74515310 149030620 186288275 372576550 745153100 1423242421 2846484842 5692969684 7116212105 14232424210 28464848420 35581060525 71162121050 142324242100