Search a number
-
+
4034010310000 = 24541136672821
BaseRepresentation
bin111010101100111101110…
…000000110010101110000
3112021122111010002110102021
4322230331300012111300
51012043123114410000
612325110533001224
7564306351605626
oct72547560062560
915248433073367
104034010310000
1113158a5720990
12551999a83214
13233536c81c18
14dd366223516
156ee01be411a
hex3ab3dc06570

4034010310000 has 100 divisors (see below), whose sum is σ = 10654628321304. Its totient is φ = 1466912800000.

The previous prime is 4034010309937. The next prime is 4034010310003. The reversal of 4034010310000 is 130104304.

4034010310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×40340103100002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034010310003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18226411 + ... + 18446410.

Almost surely, 24034010310000 is an apocalyptic number.

4034010310000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034010310000 is an abundant number, since it is smaller than the sum of its proper divisors (6620618011304).

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

4034010310000 is a wasteful number, since it uses less digits than its factorization.

4034010310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36672860 (or 36672839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4034010310000 its reverse (130104304), we get a palindrome (4034140414304).

The spelling of 4034010310000 in words is "four trillion, thirty-four billion, ten million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 36672821 73345642 146691284 183364105 293382568 366728210 403401031 586765136 733456420 806802062 916820525 1466912840 1613604124 1833641050 2017005155 2933825680 3227208248 3667282100 4034010310 4584102625 6454416496 7334564200 8068020620 9168205250 10085025775 14669128400 16136041240 18336410500 20170051550 22920513125 32272082480 36672821000 40340103100 45841026250 50425128875 73345642000 80680206200 91682052500 100850257750 161360412400 183364105000 201700515500 252125644375 366728210000 403401031000 504251288750 806802062000 1008502577500 2017005155000 4034010310000