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242425000000 = 26589697
BaseRepresentation
bin1110000111000110100…
…1111111000001000000
3212011202000101222121201
43201301221333001000
512432441300000000
6303211333030544
723341342333441
oct3416151770100
9764660358551
10242425000000
11938a2657677
123ab97785454
1319b25901581
14ba3a7792c8
15648ccbe96a
hex3871a7f040

242425000000 has 126 divisors (see below), whose sum is σ = 601389340526. Its totient is φ = 96960000000.

The previous prime is 242424999997. The next prime is 242425000109. The reversal of 242425000000 is 524242.

It can be written as a sum of positive squares in 9 ways, for example, as 36468777024 + 205956222976 = 190968^2 + 453824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24995152 + ... + 25004848.

Almost surely, 2242425000000 is an apocalyptic number.

242425000000 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 242425000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300694670263).

242425000000 is an abundant number, since it is smaller than the sum of its proper divisors (358964340526).

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

242425000000 is an frugal number, since it uses more digits than its factorization.

242425000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 242425000000 its reverse (524242), we get a palindrome (242425524242).

The spelling of 242425000000 in words is "two hundred forty-two billion, four hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 9697 10000 12500 15625 19394 20000 25000 31250 38788 40000 48485 50000 62500 77576 78125 96970 100000 125000 155152 156250 193940 200000 242425 250000 310304 312500 387880 390625 484850 500000 620608 625000 775760 781250 969700 1000000 1212125 1250000 1551520 1562500 1939400 2424250 2500000 3103040 3125000 3878800 4848500 5000000 6060625 6250000 7757600 9697000 12121250 12500000 15515200 19394000 24242500 25000000 30303125 38788000 48485000 60606250 77576000 96970000 121212500 151515625 193940000 242425000 303031250 387880000 484850000 606062500 757578125 969700000 1212125000 1515156250 1939400000 2424250000 3030312500 3787890625 4848500000 6060625000 7575781250 9697000000 12121250000 15151562500 24242500000 30303125000 48485000000 60606250000 121212500000 242425000000