Search a number
-
+
10441621506000 = 243532960009319
BaseRepresentation
bin1001011111110010000100…
…1001000000011111010000
31100222012122120000012101110
42113330201021000133100
52332033420101143000
634112451550333320
72125245054246666
oct227744111003720
940865576005343
1010441621506000
1133662a3144963
1212077a5aba240
135a9843771909
1428153cd90c36
1513192586e850
hex97f212407d0

10441621506000 has 160 divisors (see below), whose sum is σ = 34824608582400. Its totient is φ = 2688417446400.

The previous prime is 10441621505999. The next prime is 10441621506023. The reversal of 10441621506000 is 60512614401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29830660 + ... + 30178659.

It is an arithmetic number, because the mean of its divisors is an integer number (217653803640).

Almost surely, 210441621506000 is an apocalyptic number.

10441621506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441621506000 is an abundant number, since it is smaller than the sum of its proper divisors (24382987076400).

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

10441621506000 is a wasteful number, since it uses less digits than its factorization.

10441621506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60009374 (or 60009358 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10441621506000 in words is "ten trillion, four hundred forty-one billion, six hundred twenty-one million, five hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 60009319 120018638 180027957 240037276 300046595 360055914 480074552 600093190 720111828 900139785 960149104 1200186380 1440223656 1500232975 1740270251 1800279570 2400372760 2880447312 3000465950 3480540502 3600559140 4500698925 4800745520 5220810753 6000931900 6961081004 7201118280 7501164875 8701351255 9001397850 10441621506 12001863800 13922162008 14402236560 15002329750 17402702510 18002795700 20883243012 22503494625 24003727600 26104053765 27844324016 30004659500 34805405020 36005591400 41766486024 43506756275 45006989250 52208107530 60009319000 69610810040 72011182800 83532972048 87013512550 90013978500 104416215060 120018638000 130520268825 139221620080 174027025100 180027957000 208832430120 217533781375 261040537650 348054050200 360055914000 417664860240 435067562750 522081075300 652601344125 696108100400 870135125500 1044162150600 1305202688250 1740270251000 2088324301200 2610405376500 3480540502000 5220810753000 10441621506000