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241421313012 = 2231119122134327
BaseRepresentation
bin1110000011010111010…
…1001110001111110100
3212002011001210101220120
43200311311032033310
512423412324004022
6302524000331540
723304434205345
oct3406565161764
9762131711816
10241421313012
11934280457a0
123a957613bb0
13199c59a3149
14b98334c0cc
15642eb10d5c
hex3835d4e3f4

241421313012 has 96 divisors (see below), whose sum is σ = 618166370304. Its totient is φ = 72725251200.

The previous prime is 241421312983. The next prime is 241421313017. The reversal of 241421313012 is 210313124142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241421313017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55791993 + ... + 55796319.

It is an arithmetic number, because the mean of its divisors is an integer number (6439233024).

Almost surely, 2241421313012 is an apocalyptic number.

241421313012 is a gapful number since it is divisible by the number (22) 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 241421313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309083185152).

241421313012 is an abundant number, since it is smaller than the sum of its proper divisors (376745057292).

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

241421313012 is a wasteful number, since it uses less digits than its factorization.

241421313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 241421313012 its reverse (210313124142), we get a palindrome (451734437154).

The spelling of 241421313012 in words is "two hundred forty-one billion, four hundred twenty-one million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2213 2292 4202 4327 4426 6303 6639 8404 8654 8852 12606 12981 13278 17308 24343 25212 25962 26556 47597 48686 51924 73029 95194 97372 142791 146058 190388 285582 292116 422683 571164 826457 845366 1268049 1652914 1690732 2479371 2536098 3305828 4649513 4958742 5072196 9091027 9299026 9575651 9917484 13948539 18182054 18598052 19151302 27273081 27897078 28726953 36364108 38302604 54546162 55794156 57453906 105332161 109092324 114907812 210664322 315996483 421328644 631992966 1263985932 1828949341 3657898682 5486848023 7315797364 10973696046 20118442751 21947392092 40236885502 60355328253 80473771004 120710656506 241421313012