Search a number
-
+
242402141000 = 2353242402141
BaseRepresentation
bin1110000111000001001…
…0110010001101001000
3212011200102101121222002
43201300102302031020
512432414422003000
6303205155050132
723340644126225
oct3416022621510
9764612347862
10242402141000
1193890764338
123ab8bba0948
1319b20c59a36
14ba3770894c
15648aca68d5
hex38704b2348

242402141000 has 32 divisors (see below), whose sum is σ = 567221012280. Its totient is φ = 96960856000.

The previous prime is 242402140969. The next prime is 242402141053. The reversal of 242402141000 is 141204242.

It can be written as a sum of positive squares in 4 ways, for example, as 34847182276 + 207554958724 = 186674^2 + 455582^2 .

It is a super-2 number, since 2×2424021410002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121200071 + ... + 121202070.

Almost surely, 2242402141000 is an apocalyptic number.

242402141000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242402141000 is an abundant number, since it is smaller than the sum of its proper divisors (324818871280).

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

242402141000 is a wasteful number, since it uses less digits than its factorization.

242402141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242402162 (or 242402148 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242402141000 its reverse (141204242), we get a palindrome (242543345242).

The spelling of 242402141000 in words is "two hundred forty-two billion, four hundred two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 242402141 484804282 969608564 1212010705 1939217128 2424021410 4848042820 6060053525 9696085640 12120107050 24240214100 30300267625 48480428200 60600535250 121201070500 242402141000