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2032014314440 = 23511109151280589
BaseRepresentation
bin11101100100011101011…
…111011100101111001000
321012020222120102112021201
4131210131133130233020
5231243031131030230
64153254450513544
7266544131454535
oct35443537345710
97166876375251
102032014314440
117138551190a0
122899995958b4
131198060460b6
14704c863bd8c
1537ccd8955ca
hex1d91d7dcbc8

2032014314440 has 128 divisors (see below), whose sum is σ = 5066781984000. Its totient is φ = 727284096000.

The previous prime is 2032014314437. The next prime is 2032014314461. The reversal of 2032014314440 is 444134102302.

It is a junction number, because it is equal to n+sod(n) for n = 2032014314399 and 2032014314408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101666 + ... + 7382254.

It is an arithmetic number, because the mean of its divisors is an integer number (39584234250).

Almost surely, 22032014314440 is an apocalyptic number.

2032014314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032014314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533390992000).

2032014314440 is an abundant number, since it is smaller than the sum of its proper divisors (3034767669560).

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

2032014314440 is a wasteful number, since it uses less digits than its factorization.

2032014314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280871 (or 280867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2032014314440 its reverse (444134102302), we get a palindrome (2476148416742).

The spelling of 2032014314440 in words is "two trillion, thirty-two billion, fourteen million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 151 218 220 302 436 440 545 604 755 872 1090 1199 1208 1510 1661 2180 2398 3020 3322 4360 4796 5995 6040 6644 8305 9592 11990 13288 16459 16610 23980 32918 33220 47960 65836 66440 82295 131672 164590 181049 280589 329180 362098 561178 658360 724196 905245 1122356 1402945 1448392 1810490 2244712 2805890 3086479 3620980 5611780 6172958 7241960 11223560 12345916 15432395 24691832 30584201 30864790 42368939 61168402 61729580 84737878 122336804 123459160 152921005 169475756 211844695 244673608 305842010 336426211 338951512 423689390 466058329 611684020 672852422 847378780 932116658 1223368040 1345704844 1682131055 1694757560 1864233316 2330291645 2691409688 3364262110 3728466632 4618214351 4660583290 6728524220 9236428702 9321166580 13457048440 18472857404 18642333160 23091071755 36945714808 46182143510 50800357861 92364287020 101600715722 184728574040 203201431444 254001789305 406402862888 508003578610 1016007157220 2032014314440