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320441403136 = 2831233173297
BaseRepresentation
bin1001010100110111100…
…10111100011100000000
31010122010010000220021011
410222123302330130000
520222230444400021
6403113031210304
732102556662011
oct4523362743400
91118103026234
10320441403136
111139978aaaa8
125212b216994
13242a9ab321a
141171bcc9008
15850706ade1
hex4a9bcbc700

320441403136 has 72 divisors (see below), whose sum is σ = 663101921664. Its totient is φ = 154385940480.

The previous prime is 320441403109. The next prime is 320441403173. The reversal of 320441403136 is 631304144023.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 320441403098 and 320441403107.

It is a congruent number.

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, 1762440 + ... + 1935736.

It is an arithmetic number, because the mean of its divisors is an integer number (9209748912).

Almost surely, 2320441403136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320441403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331550960832).

320441403136 is an abundant number, since it is smaller than the sum of its proper divisors (342660518528).

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

320441403136 is a wasteful number, since it uses less digits than its factorization.

320441403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173577 (or 173563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 320441403136 its reverse (631304144023), we get a palindrome (951745547159).

The spelling of 320441403136 in words is "three hundred twenty billion, four hundred forty-one million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 233 248 256 466 496 932 992 1864 1984 3728 3968 7223 7456 7936 14446 14912 28892 29824 57784 59648 115568 173297 231136 346594 462272 693188 924544 1386376 1849088 2772752 5372207 5545504 10744414 11091008 21488828 22182016 40378201 42977656 44364032 80756402 85955312 161512804 171910624 323025608 343821248 646051216 687642496 1251724231 1292102432 1375284992 2503448462 2584204864 5006896924 5168409728 10013793848 10336819456 20027587696 40055175392 80110350784 160220701568 320441403136