Search a number
-
+
242621254300 = 225219457279421
BaseRepresentation
bin1110000111110101011…
…0101000101010011100
3212012020200200201220111
43201331112220222130
512433342020114200
6303243023255404
723346244430425
oct3417526505234
9765220621814
10242621254300
1193993411407
123b03144a564
1319b57476989
14ba5886464c
1564a01390ba
hex387d5a8a9c

242621254300 has 72 divisors (see below), whose sum is σ = 555412697840. Its totient is φ = 91739174400.

The previous prime is 242621254297. The next prime is 242621254307. The reversal of 242621254300 is 3452126242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242621254307) 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, 728590 + ... + 1008010.

Almost surely, 2242621254300 is an apocalyptic number.

242621254300 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 242621254300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277706348920).

242621254300 is an abundant number, since it is smaller than the sum of its proper divisors (312791443540).

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

242621254300 is a wasteful number, since it uses less digits than its factorization.

242621254300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279911 (or 279904 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 242621254300 in words is "two hundred forty-two billion, six hundred twenty-one million, two hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 457 475 914 950 1828 1900 2285 4570 8683 9140 11425 17366 22850 34732 43415 45700 86830 173660 217075 279421 434150 558842 868300 1117684 1397105 2794210 5308999 5588420 6985525 10617998 13971050 21235996 26544995 27942100 53089990 106179980 127695397 132724975 255390794 265449950 510781588 530899900 638476985 1276953970 2426212543 2553907940 3192384925 4852425086 6384769850 9704850172 12131062715 12769539700 24262125430 48524250860 60655313575 121310627150 242621254300