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320203344432 = 243731671733163
BaseRepresentation
bin1001010100011011001…
…10110100101000110000
31010121111112002021010010
410222031212310220300
520221234024010212
6403033244534520
732063636343216
oct4521546645060
91117445067103
10320203344432
11113885492a74
1252083551440
132426c691b9a
14116d843acb6
1584e11e503c
hex4a8d9b4a30

320203344432 has 160 divisors (see below), whose sum is σ = 848688680448. Its totient is φ = 104004200448.

The previous prime is 320203344407. The next prime is 320203344449. The reversal of 320203344432 is 234443302023.

It is a self number, because there is not a number n which added to its sum of digits gives 320203344432.

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 31 ways as a sum of consecutive naturals, for example, 101232483 + ... + 101235645.

Almost surely, 2320203344432 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 320203344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424344340224).

320203344432 is an abundant number, since it is smaller than the sum of its proper divisors (528485336016).

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

320203344432 is a wasteful number, since it uses less digits than its factorization.

320203344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 320203344432 its reverse (234443302023), we get a palindrome (554646646455).

The spelling of 320203344432 in words is "three hundred twenty billion, two hundred three million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 167 173 219 292 334 346 438 501 519 584 668 692 876 1002 1038 1168 1336 1384 1752 2004 2076 2672 2768 3163 3504 4008 4152 6326 8016 8304 9489 12191 12629 12652 18978 24382 25258 25304 28891 36573 37887 37956 48764 50516 50608 57782 73146 75774 75912 86673 97528 101032 115564 146292 151548 151824 173346 195056 202064 230899 231128 292584 303096 346692 461798 462256 528221 547199 585168 606192 692697 693384 923596 1056442 1094398 1385394 1386768 1584663 1641597 1847192 2109043 2112884 2188796 2770788 3169326 3283194 3694384 4218086 4225768 4377592 5541576 6327129 6338652 6566388 8436172 8451536 8755184 11083152 12654258 12677304 13132776 16872344 25308516 25354608 26265552 33744688 38560133 39945527 50617032 77120266 79891054 91382233 101234064 115680399 119836581 154240532 159782108 182764466 231360798 239673162 274146699 308481064 319564216 365528932 462721596 479346324 548293398 616962128 639128432 731057864 925443192 958692648 1096586796 1462115728 1850886384 1917385296 2193173592 4386347184 6670903009 13341806018 20012709027 26683612036 40025418054 53367224072 80050836108 106734448144 160101672216 320203344432