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4414007844 = 223436912
BaseRepresentation
bin1000001110001100…
…00110101000100100
3102101121201211110000
410013012012220210
533014441222334
62005555301300
7214245306351
oct40706065044
912347654400
104414007844
111965657474
12a322aa830
13554628b7c
142dc323628
151ac7a4299
hex107186a24

4414007844 has 45 divisors (see below), whose sum is σ = 11542215531. Its totient is φ = 1470937320.

The previous prime is 4414007837. The next prime is 4414007849. The reversal of 4414007844 is 4487004144.

The square root of 4414007844 is 66438.

It is a perfect power (a square), and thus also a powerful number.

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 = 4414007799 and 4414007808.

It is not an unprimeable number, because it can be changed into a prime (4414007849) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1194039 + ... + 1197729.

Almost surely, 24414007844 is an apocalyptic number.

4414007844 is the 66438-th square number.

It is an amenable number.

4414007844 is an abundant number, since it is smaller than the sum of its proper divisors (7128207687).

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

4414007844 is an frugal number, since it uses more digits than its factorization.

4414007844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The cubic root of 4414007844 is about 1640.3796270686.

Multiplying 4414007844 by its sum of digits (36), we get a square (158904282384 = 3986282).

4414007844 divided by its sum of digits (36) gives a square (122611329 = 110732).

The spelling of 4414007844 in words is "four billion, four hundred fourteen million, seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3691 7382 11073 14764 22146 33219 44292 66438 99657 132876 199314 298971 398628 597942 1195884 13623481 27246962 40870443 54493924 81740886 122611329 163481772 245222658 367833987 490445316 735667974 1103501961 1471335948 2207003922 4414007844