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4111140440440 = 2351188710533823
BaseRepresentation
bin111011110100110011000…
…100001100100101111000
3112120000120110001001111001
4323310303010030211320
51014324103423043230
612424344251214344
7603006615110605
oct73646304144570
915500513031431
104111140440440
111345585668540
125649247473b4
1323a8a9665467
14102da1b8b6ac
1571e182760ca
hex3bd3310c978

4111140440440 has 64 divisors (see below), whose sum is σ = 10102358568960. Its totient is φ = 1493274606720.

The previous prime is 4111140440437. The next prime is 4111140440461. The reversal of 4111140440440 is 440440411114.

It is a happy number.

4111140440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4111140440399 and 4111140440408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4876632 + ... + 5657191.

It is an arithmetic number, because the mean of its divisors is an integer number (157849352640).

Almost surely, 24111140440440 is an apocalyptic number.

4111140440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4111140440440 is an abundant number, since it is smaller than the sum of its proper divisors (5991218128520).

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

4111140440440 is a wasteful number, since it uses less digits than its factorization.

4111140440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534732 (or 10534728 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 4111140440440 its reverse (440440411114), we get a palindrome (4551580851554).

The spelling of 4111140440440 in words is "four trillion, one hundred eleven billion, one hundred forty million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 887 1774 3548 4435 7096 8870 9757 17740 19514 35480 39028 48785 78056 97570 195140 390280 10533823 21067646 42135292 52669115 84270584 105338230 115872053 210676460 231744106 421352920 463488212 579360265 926976424 1158720530 2317441060 4634882120 9343501001 18687002002 37374004004 46717505005 74748008008 93435010010 102778511011 186870020020 205557022022 373740040040 411114044044 513892555055 822228088088 1027785110110 2055570220220 4111140440440