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241325570000 = 245425793901
BaseRepresentation
bin1110000011000000011…
…1111111011111010000
3212001220101122011012002
43200300013333133100
512423213321220000
6302510300253132
723302162333244
oct3406007773720
9761811564162
10241325570000
1193388aa1639
123a92b5411a8
13199abbc0188
14b974748424
1564264ec8d5
hex38301ff7d0

241325570000 has 100 divisors (see below), whose sum is σ = 586553021076. Its totient is φ = 96153600000.

The previous prime is 241325569999. The next prime is 241325570021. The reversal of 241325570000 is 75523142.

It is a happy number.

241325570000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 94280930704 + 147044639296 = 307052^2 + 383464^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2523050 + ... + 2616950.

Almost surely, 2241325570000 is an apocalyptic number.

241325570000 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 241325570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293276510538).

241325570000 is an abundant number, since it is smaller than the sum of its proper divisors (345227451076).

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

241325570000 is an equidigital number, since it uses as much as digits as its factorization.

241325570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94186 (or 94165 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 241325570000 in words is "two hundred forty-one billion, three hundred twenty-five million, five hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 625 1000 1028 1250 1285 2000 2056 2500 2570 4112 5000 5140 6425 10000 10280 12850 20560 25700 32125 51400 64250 93901 102800 128500 160625 187802 257000 321250 375604 469505 514000 642500 751208 939010 1285000 1502416 1878020 2347525 2570000 3756040 4695050 7512080 9390100 11737625 18780200 23475250 24132557 37560400 46950500 48265114 58688125 93901000 96530228 117376250 120662785 187802000 193060456 234752500 241325570 386120912 469505000 482651140 603313925 939010000 965302280 1206627850 1930604560 2413255700 3016569625 4826511400 6033139250 9653022800 12066278500 15082848125 24132557000 30165696250 48265114000 60331392500 120662785000 241325570000