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241443114114432 = 2731043360266281
BaseRepresentation
bin110110111001011101011011…
…000011001101110110000000
31011122212201212202100210202210
4312321131123003031312000
5223121300444203130212
62213301234013342120
7101566455306064116
oct6671353303156600
91148781782323683
10241443114114432
116aa274a4565a3a
12230b5362497940
13a494cac740309
144389ca2705ab6
151cda751ed853c
hexdb975b0cdd80

241443114114432 has 64 divisors (see below), whose sum is σ = 641394754115760. Its totient is φ = 80473322618880.

The previous prime is 241443114114431. The next prime is 241443114114439. The reversal of 241443114114432 is 234411411344142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241443114114431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26126869 + ... + 34139412.

Almost surely, 2241443114114432 is an apocalyptic number.

It is an amenable number.

241443114114432 is an abundant number, since it is smaller than the sum of its proper divisors (399951640001328).

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

241443114114432 is a wasteful number, since it uses less digits than its factorization.

241443114114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60276731 (or 60276719 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

Adding to 241443114114432 its reverse (234411411344142), we get a palindrome (475854525458574).

The spelling of 241443114114432 in words is "two hundred forty-one trillion, four hundred forty-three billion, one hundred fourteen million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10433 20866 31299 41732 62598 83464 125196 166928 250392 333856 500784 667712 1001568 1335424 2003136 4006272 60266281 120532562 180798843 241065124 361597686 482130248 723195372 964260496 1446390744 1928520992 2892781488 3857041984 5785562976 7714083968 11571125952 23142251904 628758109673 1257516219346 1886274329019 2515032438692 3772548658038 5030064877384 7545097316076 10060129754768 15090194632152 20120259509536 30180389264304 40240519019072 60360778528608 80481038038144 120721557057216 241443114114432