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4023244414440 = 2332511175678929
BaseRepresentation
bin111010100010111100000…
…011011101110111101000
3112020121200211011022002200
4322202330003131313220
51011404101032230230
612320130350300200
7563445514162206
oct72427403356750
915217624138080
104023244414440
11131128064a239
1254b8944b7660
1323250c6c2b14
14dca24492076
156e9c1999160
hex3a8bc0ddde8

4023244414440 has 48 divisors (see below), whose sum is σ = 13075544348100. Its totient is φ = 1072865177088.

The previous prime is 4023244414421. The next prime is 4023244414447. The reversal of 4023244414440 is 444144423204.

It is a happy number.

4023244414440 is a `hidden beast` number, since 4 + 0 + 2 + 32 + 444 + 144 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3826475875044 + 196768539396 = 1956138^2 + 443586^2 .

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 = 4023244414395 and 4023244414404.

It is not an unprimeable number, because it can be changed into a prime (4023244414447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5587839105 + ... + 5587839824.

Almost surely, 24023244414440 is an apocalyptic number.

4023244414440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023244414440 is an abundant number, since it is smaller than the sum of its proper divisors (9052299933660).

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

4023244414440 is a wasteful number, since it uses less digits than its factorization.

4023244414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175678946 (or 11175678939 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4023244414440 its reverse (444144423204), we get a palindrome (4467388837644).

The spelling of 4023244414440 in words is "four trillion, twenty-three billion, two hundred forty-four million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11175678929 22351357858 33527036787 44702715716 55878394645 67054073574 89405431432 100581110361 111756789290 134108147148 167635183935 201162220722 223513578580 268216294296 335270367870 402324441444 447027157160 502905551805 670540735740 804648882888 1005811103610 1341081471480 2011622207220 4023244414440