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1432203221982 = 23133414361627
BaseRepresentation
bin10100110101110101111…
…101101101101111011110
312001220202201000222020010
4110311311331231233132
5141431123011100412
63013540045304050
7205321221344421
oct24656575555736
95056681028203
101432203221982
11502437421635
121b16a1b65026
13a509658b000
144d4674cd9b8
15273c53e033c
hex14d75f6dbde

1432203221982 has 128 divisors (see below), whose sum is σ = 3252656816640. Its totient is φ = 419924494080.

The previous prime is 1432203221959. The next prime is 1432203222077. The reversal of 1432203221982 is 2891223022341.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1432203221982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23209053 + ... + 23270679.

It is an arithmetic number, because the mean of its divisors is an integer number (25411381380).

Almost surely, 21432203221982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432203221982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626328408320).

1432203221982 is an abundant number, since it is smaller than the sum of its proper divisors (1820453594658).

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

1432203221982 is a wasteful number, since it uses less digits than its factorization.

1432203221982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61755 (or 61729 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1432203221982 in words is "one trillion, four hundred thirty-two billion, two hundred three million, two hundred twenty-one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 41 43 78 82 86 123 129 169 246 258 338 507 533 559 1014 1066 1118 1599 1677 1763 2197 3198 3354 3526 4394 5289 6591 6929 7267 10578 13182 13858 14534 20787 21801 22919 41574 43602 45838 61627 68757 90077 94471 123254 137514 180154 184881 188942 270231 283413 297947 369762 540462 566826 595894 801151 893841 1602302 1787682 2403453 2526707 2649961 3873311 4806906 5053414 5299922 7580121 7746622 7949883 10414963 11619933 15160242 15899766 20829926 23239866 31244889 32847191 34449493 62489778 65694382 68898986 98541573 103348479 108648401 135394519 197083146 206696958 217296802 270789038 325945203 406183557 427013483 447843409 651890406 812367114 854026966 895686818 1281040449 1343530227 1412429213 2562080898 2687060454 2824858426 4237287639 5551175279 5821964317 8474575278 11102350558 11643928634 16653525837 17465892951 18361579769 33307051674 34931785902 36723159538 55084739307 110169478614 238700536997 477401073994 716101610991 1432203221982