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4000044000 = 25353333337
BaseRepresentation
bin1110111001101011…
…1101001111100000
3101022202210021210210
43232122331033200
531143002402000
61500530454120
7201060545601
oct35632751740
911282707723
104000044000
111772a14297
12937734340
134b9938754
1429d365da8
15186283350
hexee6bd3e0

4000044000 has 96 divisors (see below), whose sum is σ = 13104183456. Its totient is φ = 1066675200.

The previous prime is 4000043923. The next prime is 4000044077. The reversal of 4000044000 is 4400004.

It is an interprime number because it is at equal distance from previous prime (4000043923) and next prime (4000044077).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4000044000 is a modest number, since divided by 44000 gives 4000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154669 + ... + 178668.

It is an arithmetic number, because the mean of its divisors is an integer number (136501911).

Almost surely, 24000044000 is an apocalyptic number.

4000044000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000044000 is an abundant number, since it is smaller than the sum of its proper divisors (9104139456).

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

4000044000 is a wasteful number, since it uses less digits than its factorization.

4000044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333365 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4000044000 is about 63245.9010529536. The cubic root of 4000044000 is about 1587.4068724174.

Adding to 4000044000 its reverse (4400004), we get a palindrome (4004444004).

The spelling of 4000044000 in words is "four billion, forty-four thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 333337 666674 1000011 1333348 1666685 2000022 2666696 3333370 4000044 5000055 5333392 6666740 8000088 8333425 10000110 10666784 13333480 16000176 16666850 20000220 25000275 26666960 32000352 33333700 40000440 41667125 50000550 53333920 66667400 80000880 83334250 100001100 125001375 133334800 160001760 166668500 200002200 250002750 266669600 333337000 400004400 500005500 666674000 800008800 1000011000 1333348000 2000022000 4000044000