Search a number
-
+
44047398420 = 223253137321163
BaseRepresentation
bin101001000001011011…
…011111011000010100
311012200201221200100200
4221001123133120110
51210202113222140
632122440340500
73116351465124
oct510133373024
9135621850320
1044047398420
1117753676413
128653474730
1341cc75b17c
1421bbd3cc84
15122bec1030
hexa416df614

44047398420 has 144 divisors (see below), whose sum is σ = 138296750592. Its totient is φ = 11336060160.

The previous prime is 44047398323. The next prime is 44047398433. The reversal of 44047398420 is 2489374044.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2070759 + ... + 2091921.

Almost surely, 244047398420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44047398420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69148375296).

44047398420 is an abundant number, since it is smaller than the sum of its proper divisors (94249352172).

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

44047398420 is a wasteful number, since it uses less digits than its factorization.

44047398420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21582 (or 21577 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 44047398420 in words is "forty-four billion, forty-seven million, three hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 373 465 558 620 746 930 1116 1119 1395 1492 1860 1865 2238 2790 3357 3730 4476 5580 5595 6714 7460 11190 11563 13428 16785 21163 22380 23126 33570 34689 42326 46252 57815 63489 67140 69378 84652 104067 105815 115630 126978 138756 173445 190467 208134 211630 231260 253956 317445 346890 380934 416268 423260 520335 634890 656053 693780 761868 952335 1040670 1269780 1312106 1904670 1968159 2081340 2624212 3280265 3809340 3936318 5904477 6560530 7872636 7893799 9840795 11808954 13121060 15787598 19681590 23617908 23681397 29522385 31575196 39363180 39468995 47362794 59044770 71044191 78937990 94725588 118089540 118406985 142088382 157875980 236813970 244707769 284176764 355220955 473627940 489415538 710441910 734123307 978831076 1223538845 1420883820 1468246614 2202369921 2447077690 2936493228 3670616535 4404739842 4894155380 7341233070 8809479684 11011849605 14682466140 22023699210 44047398420