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44002002000 = 2435311666697
BaseRepresentation
bin101000111110101110…
…010100010001010000
311012120120112022011210
4220332232110101100
51210104003031000
632114135340120
73115260563055
oct507656242120
9135516468153
1044002002000
111772aa8a410
128640221640
1341c3225298
1421b5cc302c
151228005350
hexa3eb94450

44002002000 has 160 divisors (see below), whose sum is σ = 154759273344. Its totient is φ = 10667136000.

The previous prime is 44002001999. The next prime is 44002002067. The reversal of 44002002000 is 20020044.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267349 + ... + 399348.

Almost surely, 244002002000 is an apocalyptic number.

44002002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44002002000 is an abundant number, since it is smaller than the sum of its proper divisors (110757271344).

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

44002002000 is a wasteful number, since it uses less digits than its factorization.

44002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666734 (or 666718 counting only the distinct ones).

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

Adding to 44002002000 its reverse (20020044), we get a palindrome (44022022044).

It can be divided in two parts, 4 and 4002002000, that added together give a palindrome (4002002004).

The spelling of 44002002000 in words is "forty-four billion, two million, two thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 666697 1333394 2000091 2666788 3333485 4000182 5333576 6666970 7333667 8000364 10000455 10667152 13333940 14667334 16000728 16667425 20000910 22001001 26667880 29334668 32001456 33334850 36668335 40001820 44002002 50002275 53335760 58669336 66669700 73336670 80003640 83337125 88004004 100004550 110005005 117338672 133339400 146673340 160007280 166674250 176008008 183341675 200009100 220010010 250011375 266678800 293346680 333348500 352016016 366683350 400018200 440020020 500022750 550025025 586693360 666697000 733366700 800036400 880040040 916708375 1000045500 1100050050 1333394000 1466733400 1760080080 1833416750 2000091000 2200100100 2750125125 2933466800 3666833500 4000182000 4400200200 5500250250 7333667000 8800400400 11000500500 14667334000 22001001000 44002002000