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320250241024 = 213717328513
BaseRepresentation
bin1001010100100000110…
…01101110000000000000
31010121121210022212010221
410222100121232000000
520221333030203044
6403042042032424
732065046064040
oct4522031560000
91117553285127
10320250241024
111138a9a0408a
12520971a8714
132427930184c
1411700767720
1584e53aa484
hex4a9066e000

320250241024 has 112 divisors (see below), whose sum is σ = 775014460128. Its totient is φ = 129176174592.

The previous prime is 320250241009. The next prime is 320250241027. The reversal of 320250241024 is 420142052023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 320250241024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320250241027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810592 + ... + 1139104.

Almost surely, 2320250241024 is an apocalyptic number.

320250241024 is a gapful number since it is divisible by the number (34) 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 320250241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387507230064).

320250241024 is an abundant number, since it is smaller than the sum of its proper divisors (454764219104).

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

320250241024 is an equidigital number, since it uses as much as digits as its factorization.

320250241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328563 (or 328539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 320250241024 its reverse (420142052023), we get a palindrome (740392293047).

The spelling of 320250241024 in words is "three hundred twenty billion, two hundred fifty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2048 2176 3584 3808 4096 4352 7168 7616 8192 8704 14336 15232 17408 28672 30464 34816 57344 60928 69632 121856 139264 243712 328513 487424 657026 974848 1314052 2299591 2628104 4599182 5256208 5584721 9198364 10512416 11169442 18396728 21024832 22338884 36793456 39093047 42049664 44677768 73586912 78186094 84099328 89355536 147173824 156372188 168198656 178711072 294347648 312744376 336397312 357422144 588695296 625488752 672794624 714844288 1177390592 1250977504 1345589248 1429688576 2354781184 2501955008 2691178496 2859377152 4709562368 5003910016 5718754304 9419124736 10007820032 11437508608 18838249472 20015640064 22875017216 40031280128 45750034432 80062560256 160125120512 320250241024