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440249942044 = 221123514784521
BaseRepresentation
bin1100110100000001111…
…00010000000000011100
31120002100202221021112001
412122000330100000130
524203112441121134
6534125324052044
743543542522553
oct6320074200034
91502322837461
10440249942044
1115a788684610
12713a6994024
1332691412ab3
1417445a32d9a
15b6ba302414
hex6680f1001c

440249942044 has 48 divisors (see below), whose sum is σ = 877200420096. Its totient is φ = 191373564800.

The previous prime is 440249942029. The next prime is 440249942201.

440249942044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4402499420442 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 440249941985 and 440249942003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5166504 + ... + 5251024.

It is an arithmetic number, because the mean of its divisors is an integer number (18275008752).

Almost surely, 2440249942044 is an apocalyptic number.

440249942044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440249942044 is a deficient number, since it is larger than the sum of its proper divisors (436950478052).

440249942044 is a wasteful number, since it uses less digits than its factorization.

440249942044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89706 (or 89704 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 440249942044 in words is "four hundred forty billion, two hundred forty-nine million, nine hundred forty-two thousand, forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 1012 5147 10294 20588 56617 84521 113234 118381 169042 226468 236762 338084 473524 929731 1302191 1859462 1943983 2604382 3718924 3887966 5208764 7775932 21383813 42767626 85535252 435029587 870059174 1740118348 4785325457 9570650914 10005680501 19141301828 20011361002 40022722004 110062485511 220124971022 440249942044