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32323002431104 = 2771117918321371
BaseRepresentation
bin1110101100101110010010…
…00100111111011010000000
311020110001022121121012122001
413112113021010333122000
513214040002110243404
6152424552103153344
76544155063303160
oct726271104773200
9136401277535561
1032323002431104
11a332121239080
1237604b8145854
13150607a232aa8
147da627d005a0
153b0bdeaa57a4
hex1d65c913f680

32323002431104 has 128 divisors (see below), whose sum is σ = 80731293580800. Its totient is φ = 12523022822400.

The previous prime is 32323002431059. The next prime is 32323002431119. The reversal of 32323002431104 is 40113420032323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×323230024311042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7396462 + ... + 10924909.

It is an arithmetic number, because the mean of its divisors is an integer number (630713231100).

Almost surely, 232323002431104 is an apocalyptic number.

It is an amenable number.

32323002431104 is an abundant number, since it is smaller than the sum of its proper divisors (48408291149696).

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

32323002431104 is a wasteful number, since it uses less digits than its factorization.

32323002431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18321582 (or 18321570 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 32323002431104 its reverse (40113420032323), we get a palindrome (72436422463427).

The spelling of 32323002431104 in words is "thirty-two trillion, three hundred twenty-three billion, two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 179 224 308 352 358 448 616 704 716 896 1232 1253 1408 1432 1969 2464 2506 2864 3938 4928 5012 5728 7876 9856 10024 11456 13783 15752 20048 22912 27566 31504 40096 55132 63008 80192 110264 126016 160384 220528 252032 441056 882112 1764224 18321371 36642742 73285484 128249597 146570968 201535081 256499194 293141936 403070162 512998388 586283872 806140324 1025996776 1172567744 1410745567 1612280648 2051993552 2345135488 2821491134 3224561296 3279525409 4103987104 5642982268 6449122592 6559050818 8207974208 11285964536 12898245184 13118101636 16415948416 22571929072 22956677863 25796490368 26236203272 36074779499 45143858144 45913355726 52472406544 72149558998 90287716288 91826711452 104944813088 144299117996 180575432576 183653422904 209889626176 252523456493 288598235992 367306845808 419779252352 505046912986 577196471984 734613691616 1010093825972 1154392943968 1469227383232 2020187651944 2308785887936 2938454766464 4040375303888 4617571775872 8080750607776 16161501215552 32323002431104