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4243434031440 = 243255893658377
BaseRepresentation
bin111101110000000000011…
…000001100100101010000
3120000200001012202210110200
4331300000120030211100
51024011023103001230
613005223502055200
7615402152064312
oct75600030144520
916020035683420
104243434031440
1113966a298051a
125864a557a500
1324a200779c16
14109551ad77b2
15755ac642160
hex3dc0060c950

4243434031440 has 60 divisors (see below), whose sum is σ = 14250865958004. Its totient is φ = 1131582408192.

The previous prime is 4243434031439. The next prime is 4243434031453. The reversal of 4243434031440 is 441304343424.

4243434031440 is a `hidden beast` number, since 4 + 243 + 4 + 3 + 403 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1839582241344 + 2403851790096 = 1356312^2 + 1550436^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4243434031395 and 4243434031404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946828469 + ... + 2946829908.

Almost surely, 24243434031440 is an apocalyptic number.

4243434031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4243434031440 is an abundant number, since it is smaller than the sum of its proper divisors (10007431926564).

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

4243434031440 is a wasteful number, since it uses less digits than its factorization.

4243434031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893658396 (or 5893658387 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4243434031440 its reverse (441304343424), we get a palindrome (4684738374864).

The spelling of 4243434031440 in words is "four trillion, two hundred forty-three billion, four hundred thirty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5893658377 11787316754 17680975131 23574633508 29468291885 35361950262 47149267016 53042925393 58936583770 70723900524 88404875655 94298534032 106085850786 117873167540 141447801048 176809751310 212171701572 235746335080 265214626965 282895602096 353619502620 424343403144 471492670160 530429253930 707239005240 848686806288 1060858507860 1414478010480 2121717015720 4243434031440