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32030400044440 = 2357227116028049
BaseRepresentation
bin1110100100001101010001…
…00111011101110110011000
311012102002001122120212122001
413102012220213131312120
513144241224402410230
6152042321310410344
76514056113121400
oct722065047356630
9135362048525561
1032030400044440
11a22a01a881206
1237138582009b4
1314b45b8bc42a5
147ca3cb45b800
153a82b6aa20ca
hex1d21a89ddd98

32030400044440 has 96 divisors (see below), whose sum is σ = 83865607308000. Its totient is φ = 10977798773760.

The previous prime is 32030400044431. The next prime is 32030400044443. The reversal of 32030400044440 is 4444000403023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32030400044399 and 32030400044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32030400044443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299536 + ... + 8327584.

It is an arithmetic number, because the mean of its divisors is an integer number (873600076125).

Almost surely, 232030400044440 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 32030400044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932803654000).

32030400044440 is an abundant number, since it is smaller than the sum of its proper divisors (51835207263560).

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

32030400044440 is a wasteful number, since it uses less digits than its factorization.

32030400044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030785 (or 6030774 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 32030400044440 its reverse (4444000403023), we get a palindrome (36474400447463).

The spelling of 32030400044440 in words is "thirty-two trillion, thirty billion, four hundred million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2711 5422 10844 13555 18977 21688 27110 37954 54220 75908 94885 108440 132839 151816 189770 265678 379540 531356 664195 759080 1062712 1328390 2656780 5313560 6028049 12056098 24112196 30140245 42196343 48224392 60280490 84392686 120560980 168785372 210981715 241121960 295374401 337570744 421963430 590748802 843926860 1181497604 1476872005 1687853720 2362995208 2953744010 5907488020 11814976040 16342040839 32684081678 65368163356 81710204195 114394285873 130736326712 163420408390 228788571746 326840816780 457577143492 571971429365 653681633560 800760001111 915154286984 1143942858730 1601520002222 2287885717460 3203040004444 4003800005555 4575771434920 6406080008888 8007600011110 16015200022220 32030400044440