Search a number
-
+
544241303040 = 2935151469303
BaseRepresentation
bin1111110101101110100…
…11110011111000000000
31221000210010000202201210
413322313103303320000
532404101233144130
61054004311530120
754214543514211
oct7726723637000
91830703022653
10544241303040
1119a8a2033266
1289589389940
133c424b0a9b6
141c4acbd9408
15e254b575b0
hex7eb74f3e00

544241303040 has 160 divisors (see below), whose sum is σ = 1751397474816. Its totient is φ = 144169574400.

The previous prime is 544241303029. The next prime is 544241303063. The reversal of 544241303040 is 40303142445.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×5442413030402 (a number of 24 digits) contains 22 as substring.

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 = 544241302989 and 544241303007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925029 + ... + 1394331.

Almost surely, 2544241303040 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 544241303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875698737408).

544241303040 is an abundant number, since it is smaller than the sum of its proper divisors (1207156171776).

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

544241303040 is a wasteful number, since it uses less digits than its factorization.

544241303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469480 (or 469464 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 544241303040 its reverse (40303142445), we get a palindrome (584544445485).

The spelling of 544241303040 in words is "five hundred forty-four billion, two hundred forty-one million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 256 302 320 384 453 480 512 604 640 755 768 906 960 1208 1280 1510 1536 1812 1920 2265 2416 2560 3020 3624 3840 4530 4832 6040 7248 7680 9060 9664 12080 14496 18120 19328 24160 28992 36240 38656 48320 57984 72480 77312 96640 115968 144960 193280 231936 289920 386560 469303 579840 938606 1159680 1407909 1877212 2346515 2815818 3754424 4693030 5631636 7039545 7508848 9386060 11263272 14079090 15017696 18772120 22526544 28158180 30035392 37544240 45053088 56316360 60070784 70864753 75088480 90106176 112632720 120141568 141729506 150176960 180212352 212594259 225265440 240283136 283459012 300353920 354323765 360424704 425188518 450530880 566918024 600707840 708647530 720849408 850377036 901061760 1062971295 1133836048 1201415680 1417295060 1700754072 1802123520 2125942590 2267672096 2834590120 3401508144 3604247040 4251885180 4535344192 5669180240 6803016288 8503770360 9070688384 11338360480 13606032576 17007540720 18141376768 22676720960 27212065152 34015081440 36282753536 45353441920 54424130304 68030162880 90706883840 108848260608 136060325760 181413767680 272120651520 544241303040