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44331421040 = 24531431992089
BaseRepresentation
bin101001010010010110…
…111100110101110000
311020102112101112010222
4221102112330311300
51211242320433130
632210544112212
73126400601324
oct512226746560
9136375345128
1044331421040
1117889a27855
128712605668
1342465537aa
142207953984
151246dc5ce5
hexa525bcd70

44331421040 has 160 divisors (see below), whose sum is σ = 109469184000. Its totient is φ = 16669255680.

The previous prime is 44331421031. The next prime is 44331421049. The reversal of 44331421040 is 4012413344.

44331421040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44331421031) and next prime (44331421049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44331421049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21220316 + ... + 21222404.

It is an arithmetic number, because the mean of its divisors is an integer number (684182400).

Almost surely, 244331421040 is an apocalyptic number.

44331421040 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 44331421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54734592000).

44331421040 is an abundant number, since it is smaller than the sum of its proper divisors (65137762960).

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

44331421040 is a wasteful number, since it uses less digits than its factorization.

44331421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 44331421040 its reverse (4012413344), we get a palindrome (48343834384).

The spelling of 44331421040 in words is "forty-four billion, three hundred thirty-one million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 80 86 124 155 172 199 215 248 310 344 398 430 496 620 688 796 860 995 1240 1333 1592 1720 1990 2089 2480 2666 3184 3440 3980 4178 5332 6169 6665 7960 8356 8557 10445 10664 12338 13330 15920 16712 17114 20890 21328 24676 26660 30845 33424 34228 41780 42785 49352 53320 61690 64759 68456 83560 85570 89827 98704 106640 123380 129518 136912 167120 171140 179654 246760 259036 265267 323795 342280 359308 415711 449135 493520 518072 530534 647590 684560 718616 831422 898270 1036144 1061068 1295180 1326335 1437232 1662844 1796540 2078555 2122136 2590360 2652670 2784637 3325688 3593080 4157110 4244272 5180720 5305340 5569274 6651376 7186160 8314220 10610680 11138548 12887041 13923185 16628440 17875573 21221360 22277096 25774082 27846370 33256880 35751146 44554192 51548164 55692740 64435205 71502292 89377865 103096328 111385480 128870410 143004584 178755730 206192656 222770960 257740820 286009168 357511460 515481640 554142763 715022920 1030963280 1108285526 1430045840 2216571052 2770713815 4433142104 5541427630 8866284208 11082855260 22165710520 44331421040