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32021103305440 = 2555314092679967
BaseRepresentation
bin1110100011111011111100…
…11111001110001011100000
311012101012001202010121020101
413101331332133032023200
513144113204421233230
6152034143005152144
76513306535132144
oct721757637161340
9135335052117211
1032021103305440
11a22608a033637
123711aa285b654
1314b3766b185b2
147c9b88881224
153a7e2080caca
hex1d1f7e7ce2e0

32021103305440 has 96 divisors (see below), whose sum is σ = 77131944610560. Its totient is φ = 12557849001984.

The previous prime is 32021103305437. The next prime is 32021103305459. The reversal of 32021103305440 is 4450330112023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32021103305399 and 32021103305408.

It is a congruent number.

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, 10608337 + ... + 13288303.

It is an arithmetic number, because the mean of its divisors is an integer number (803457756360).

Almost surely, 232021103305440 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 32021103305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38565972305280).

32021103305440 is an abundant number, since it is smaller than the sum of its proper divisors (45110841305120).

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

32021103305440 is a wasteful number, since it uses less digits than its factorization.

32021103305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681444 (or 2681436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 32021103305440 its reverse (4450330112023), we get a palindrome (36471433417463).

The spelling of 32021103305440 in words is "thirty-two trillion, twenty-one billion, one hundred three million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1409 1696 2120 2818 4240 5636 7045 8480 11272 14090 22544 28180 45088 56360 74677 112720 149354 225440 298708 373385 597416 746770 1194832 1493540 2389664 2679967 2987080 5359934 5974160 10719868 11948320 13399835 21439736 26799670 42879472 53599340 85758944 107198680 142038251 214397360 284076502 428794720 568153004 710191255 1136306008 1420382510 2272612016 2840765020 3776073503 4545224032 5681530040 7552147006 11363060080 15104294012 18880367515 22726120160 30208588024 37760735030 60417176048 75521470060 120834352096 151042940120 200131895659 302085880240 400263791318 604171760480 800527582636 1000659478295 1601055165272 2001318956590 3202110330544 4002637913180 6404220661088 8005275826360 16010551652720 32021103305440