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40532521000 = 235367701863
BaseRepresentation
bin100101101111111011…
…010011000000101000
310212121210002101222111
4211233323103000220
51131002311133000
630342000332104
72633301513106
oct455773230050
9125553071874
1040532521000
111620a607a44
127a32314034
133a8c4b2c4a
141d671cac76
1510c3625cba
hex96fed3028

40532521000 has 128 divisors (see below), whose sum is σ = 96510735360. Its totient is φ = 15929760000.

The previous prime is 40532520923. The next prime is 40532521027. The reversal of 40532521000 is 12523504.

40532521000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46966569 + ... + 46967431.

It is an arithmetic number, because the mean of its divisors is an integer number (753990120).

Almost surely, 240532521000 is an apocalyptic number.

40532521000 is a gapful number since it is divisible by the number (40) 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 40532521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48255367680).

40532521000 is an abundant number, since it is smaller than the sum of its proper divisors (55978214360).

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

40532521000 is a wasteful number, since it uses less digits than its factorization.

40532521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 40532521000 in words is "forty billion, five hundred thirty-two million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 701 863 1000 1340 1402 1675 1726 2680 2804 3350 3452 3505 4315 5608 6700 6904 7010 8375 8630 13400 14020 16750 17260 17525 21575 28040 33500 34520 35050 43150 46967 57821 67000 70100 86300 87625 93934 107875 115642 140200 172600 175250 187868 215750 231284 234835 289105 350500 375736 431500 462568 469670 578210 604963 701000 863000 939340 1156420 1174175 1209926 1445525 1878680 2312840 2348350 2419852 2891050 3024815 4696700 4839704 5782100 5870875 6049630 7227625 9393400 11564200 11741750 12099260 14455250 15124075 23483500 24198520 28910500 30248150 40532521 46967000 57821000 60496300 75620375 81065042 120992600 151240750 162130084 202662605 302481500 324260168 405325210 604963000 810650420 1013313025 1621300840 2026626050 4053252100 5066565125 8106504200 10133130250 20266260500 40532521000