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4424046440 = 2351110199551
BaseRepresentation
bin1000001111011000…
…11001011101101000
3102102022121211210212
410013230121131220
533030023441230
62010554400252
7214426526402
oct40754313550
912368554725
104424046440
111970293630
12a35730088
13556732178
142dd7b7b72
151ad5d8895
hex107b19768

4424046440 has 64 divisors (see below), whose sum is σ = 10966648320. Its totient is φ = 1592800000.

The previous prime is 4424046427. The next prime is 4424046461. The reversal of 4424046440 is 446404244.

It is a junction number, because it is equal to n+sod(n) for n = 4424046397 and 4424046406.

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, 5336 + ... + 94215.

It is an arithmetic number, because the mean of its divisors is an integer number (171353880).

Almost surely, 24424046440 is an apocalyptic number.

4424046440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424046440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483324160).

4424046440 is an abundant number, since it is smaller than the sum of its proper divisors (6542601880).

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

4424046440 is a wasteful number, since it uses less digits than its factorization.

4424046440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99674 (or 99670 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 4424046440 is about 66513.5056962118. The cubic root of 4424046440 is about 1641.6222347851.

It can be divided in two parts, 442404 and 6440, that added together give a palindrome (448844).

The spelling of 4424046440 in words is "four billion, four hundred twenty-four million, forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 99551 199102 398204 497755 796408 995510 1095061 1991020 2190122 3982040 4380244 5475305 8760488 10054651 10950610 20109302 21901220 40218604 43802440 50273255 80437208 100546510 110601161 201093020 221202322 402186040 442404644 553005805 884809288 1106011610 2212023220 4424046440