Search a number
-
+
20242141000 = 235328371527
BaseRepresentation
bin10010110110100001…
…101000111101001000
31221020201011022020221
4102312201220331020
5312423442003000
613144335155424
71314422234224
oct226641507510
957221138227
1020242141000
118648185154
123b0b075b74
131ba78c8133
14da0517784
157d714b61a
hex4b6868f48

20242141000 has 64 divisors (see below), whose sum is σ = 47534647680. Its totient is φ = 8068132800.

The previous prime is 20242140977. The next prime is 20242141057. The reversal of 20242141000 is 14124202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247237 + ... + 318763.

It is an arithmetic number, because the mean of its divisors is an integer number (742728870).

Almost surely, 220242141000 is an apocalyptic number.

20242141000 is a gapful number since it is divisible by the number (20) 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 20242141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767323840).

20242141000 is an abundant number, since it is smaller than the sum of its proper divisors (27292506680).

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

20242141000 is a wasteful number, since it uses less digits than its factorization.

20242141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71831 (or 71817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20242141000 its reverse (14124202), we get a palindrome (20256265202).

The spelling of 20242141000 in words is "twenty billion, two hundred forty-two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 283 500 566 1000 1132 1415 2264 2830 5660 7075 11320 14150 28300 35375 56600 70750 71527 141500 143054 283000 286108 357635 572216 715270 1430540 1788175 2861080 3576350 7152700 8940875 14305400 17881750 20242141 35763500 40484282 71527000 80968564 101210705 161937128 202421410 404842820 506053525 809685640 1012107050 2024214100 2530267625 4048428200 5060535250 10121070500 20242141000