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44241009240 = 23354323773607
BaseRepresentation
bin101001001100111110…
…000011101001011000
311020012020021010110210
4221030332003221120
51211101144243430
632153554211120
73124222242141
oct511476035130
9136166233423
1044241009240
111784299505a
1286a8283aa0
1342308b929c
1421d993aac8
15123deb72b0
hexa4cf83a58

44241009240 has 128 divisors (see below), whose sum is σ = 135904412160. Its totient is φ = 11515198464.

The previous prime is 44241009229. The next prime is 44241009259. The reversal of 44241009240 is 4290014244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44241009198 and 44241009207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12263517 + ... + 12267123.

It is an arithmetic number, because the mean of its divisors is an integer number (1061753220).

Almost surely, 244241009240 is an apocalyptic number.

44241009240 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 44241009240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67952206080).

44241009240 is an abundant number, since it is smaller than the sum of its proper divisors (91663402920).

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

44241009240 is a wasteful number, since it uses less digits than its factorization.

44241009240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 44241009240 in words is "forty-four billion, two hundred forty-one million, nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2377 2580 3607 4754 5160 7131 7214 9508 10821 11885 14262 14428 18035 19016 21642 23770 28524 28856 35655 36070 43284 47540 54105 57048 71310 72140 86568 95080 102211 108210 142620 144280 155101 204422 216420 285240 306633 310202 408844 432840 465303 511055 613266 620404 775505 817688 930606 1022110 1226532 1240808 1533165 1551010 1861212 2044220 2326515 2453064 3066330 3102020 3722424 4088440 4653030 6132660 6204040 8573839 9306060 12265320 17147678 18612120 25721517 34295356 42869195 51443034 68590712 85738390 102886068 128607585 171476780 205772136 257215170 342953560 368675077 514430340 737350154 1028860680 1106025231 1474700308 1843375385 2212050462 2949400616 3686750770 4424100924 5530126155 7373501540 8848201848 11060252310 14747003080 22120504620 44241009240