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34453520000 = 27542691601
BaseRepresentation
bin100000000101100101…
…101111111010000000
310021221010101011022022
4200011211233322000
51031030100120000
623454442301012
72326535042114
oct400545577200
9107833334268
1034453520000
1113680128579
1268164b7768
133330c46733
14194bad5744
15d69ad5585
hex80596fe80

34453520000 has 160 divisors (see below), whose sum is σ = 86142503700. Its totient is φ = 13721600000.

The previous prime is 34453519987. The next prime is 34453520027. The reversal of 34453520000 is 2535443.

It can be written as a sum of positive squares in 10 ways, for example, as 1093228096 + 33360291904 = 33064^2 + 182648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21519200 + ... + 21520800.

Almost surely, 234453520000 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 34453520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43071251850).

34453520000 is an abundant number, since it is smaller than the sum of its proper divisors (51688983700).

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

34453520000 is an equidigital number, since it uses as much as digits as its factorization.

34453520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The spelling of 34453520000 in words is "thirty-four billion, four hundred fifty-three million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 269 320 400 500 538 625 640 800 1000 1076 1250 1345 1600 1601 2000 2152 2500 2690 3200 3202 4000 4304 5000 5380 6404 6725 8000 8005 8608 10000 10760 12808 13450 16000 16010 17216 20000 21520 25616 26900 32020 33625 34432 40000 40025 43040 51232 53800 64040 67250 80000 80050 86080 102464 107600 128080 134500 160100 168125 172160 200125 204928 215200 256160 269000 320200 336250 400250 430400 430669 512320 538000 640400 672500 800500 860800 861338 1000625 1024640 1076000 1280800 1345000 1601000 1722676 2001250 2152000 2153345 2561600 2690000 3202000 3445352 4002500 4304000 4306690 5123200 5380000 6404000 6890704 8005000 8613380 10760000 10766725 12808000 13781408 16010000 17226760 21520000 21533450 25616000 27562816 32020000 34453520 43066900 53833625 55125632 64040000 68907040 86133800 107667250 128080000 137814080 172267600 215334500 269168125 275628160 344535200 430669000 538336250 689070400 861338000 1076672500 1378140800 1722676000 2153345000 3445352000 4306690000 6890704000 8613380000 17226760000 34453520000