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241422344400 = 243521499134213
BaseRepresentation
bin1110000011010111100…
…1001010000011010000
3212002011010201210201010
43200311321022003100
512423413110010100
6302524034410520
723304446032326
oct3406571120320
9762133653633
10241422344400
119342868a686
123a957a30a40
13199c5c74733
14b983539d16
15642ec66750
hex3835e4a0d0

241422344400 has 120 divisors (see below), whose sum is σ = 773877924000. Its totient is φ = 64335864320.

The previous prime is 241422344377. The next prime is 241422344431. The reversal of 241422344400 is 4443224142.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2414223444002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731694 + ... + 1865906.

It is an arithmetic number, because the mean of its divisors is an integer number (6448982700).

Almost surely, 2241422344400 is an apocalyptic number.

241422344400 is a gapful number since it is divisible by the number (20) 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 241422344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386938962000).

241422344400 is an abundant number, since it is smaller than the sum of its proper divisors (532455579600).

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

241422344400 is a wasteful number, since it uses less digits than its factorization.

241422344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135733 (or 135722 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 241422344400 its reverse (4443224142), we get a palindrome (245865568542).

The spelling of 241422344400 in words is "two hundred forty-one billion, four hundred twenty-two million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1499 2998 4497 5996 7495 8994 11992 14990 17988 22485 23984 29980 35976 37475 44970 59960 71952 74950 89940 112425 119920 134213 149900 179880 224850 268426 299800 359760 402639 449700 536852 599600 671065 805278 899400 1073704 1342130 1610556 1798800 2013195 2147408 2684260 3221112 3355325 4026390 5368520 6442224 6710650 8052780 10065975 10737040 13421300 16105560 20131950 26842600 32211120 40263900 53685200 80527800 161055600 201185287 402370574 603555861 804741148 1005926435 1207111722 1609482296 2011852870 2414223444 3017779305 3218964592 4023705740 4828446888 5029632175 6035558610 8047411480 9656893776 10059264350 12071117220 15088896525 16094822960 20118528700 24142234440 30177793050 40237057400 48284468880 60355586100 80474114800 120711172200 241422344400