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44321213040 = 24351315790481
BaseRepresentation
bin101001010001110000…
…000000101001110000
311020101211011220101220
4221101300000221300
51211232212304130
632205541225040
73126215044356
oct512160005160
9136354156356
1044321213040
1117884195395
12870b102180
1342443bb360
1422064577d6
15124605b410
hexa51c00a70

44321213040 has 160 divisors (see below), whose sum is σ = 148908760896. Its totient is φ = 10840227840.

The previous prime is 44321213023. The next prime is 44321213087. The reversal of 44321213040 is 4031212344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44321213040.

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, 444600 + ... + 535080.

Almost surely, 244321213040 is an apocalyptic number.

44321213040 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 44321213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74454380448).

44321213040 is an abundant number, since it is smaller than the sum of its proper divisors (104587547856).

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

44321213040 is a wasteful number, since it uses less digits than its factorization.

44321213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90667 (or 90661 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 44321213040 its reverse (4031212344), we get a palindrome (48352425384).

The spelling of 44321213040 in words is "forty-four billion, three hundred twenty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2355 2512 3120 3140 3768 4082 4710 6123 6280 7536 8164 9420 10205 12246 12560 16328 18840 20410 24492 30615 32656 37680 40820 48984 61230 81640 90481 97968 122460 163280 180962 244920 271443 361924 452405 489840 542886 723848 904810 1085772 1176253 1357215 1447696 1809620 2171544 2352506 2714430 3528759 3619240 4343088 4705012 5428860 5881265 7057518 7238480 9410024 10857720 11762530 14115036 14205517 17643795 18820048 21715440 23525060 28230072 28411034 35287590 42616551 47050120 56460144 56822068 70575180 71027585 85233102 94100240 113644136 141150360 142055170 170466204 184671721 213082755 227288272 282300720 284110340 340932408 369343442 426165510 554015163 568220680 681864816 738686884 852331020 923358605 1108030326 1136441360 1477373768 1704662040 1846717210 2216060652 2770075815 2954747536 3409324080 3693434420 4432121304 5540151630 7386868840 8864242608 11080303260 14773737680 22160606520 44321213040