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241023120103152 = 243226940115516707
BaseRepresentation
bin110110110011010110010001…
…011101001101011011110000
31011121101120210122112102111200
4312303112101131031123300
5223042410322221300102
62212340254240211200
7101524226413641042
oct6663262135153360
91147346718472450
10241023120103152
116a885370924a82
1223047a8b309b00
13a4644c8a4318a
14437381cd79a92
151cce87015851c
hexdb359174d6f0

241023120103152 has 120 divisors (see below), whose sum is σ = 678725944986960. Its totient is φ = 79842762393600.

The previous prime is 241023120103111. The next prime is 241023120103201. The reversal of 241023120103152 is 251301021320142.

It is a happy number.

241023120103152 is a `hidden beast` number, since 2 + 410 + 2 + 31 + 201 + 0 + 3 + 15 + 2 = 666.

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, 7774783 + ... + 23291489.

It is an arithmetic number, because the mean of its divisors is an integer number (5656049541558).

Almost surely, 2241023120103152 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 241023120103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339362972493480).

241023120103152 is an abundant number, since it is smaller than the sum of its proper divisors (437702824883808).

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

241023120103152 is a wasteful number, since it uses less digits than its factorization.

241023120103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15517391 (or 15517382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 241023120103152 its reverse (251301021320142), we get a palindrome (492324141423294).

The spelling of 241023120103152 in words is "two hundred forty-one trillion, twenty-three billion, one hundred twenty million, one hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 401 538 802 807 1076 1203 1604 1614 2152 2406 2421 3208 3228 3609 4304 4812 4842 6416 6456 7218 9624 9684 12912 14436 19248 19368 28872 38736 57744 107869 215738 323607 431476 647214 862952 970821 1294428 1725904 1941642 2588856 3883284 5177712 7766568 15516707 15533136 31033414 46550121 62066828 93100242 124133656 139650363 186200484 248267312 279300726 372400968 558601452 744801936 1117202904 2234405808 4173994183 6222199507 8347988366 12444399014 12521982549 16695976732 18666598521 24888798028 25043965098 33391953464 37333197042 37565947647 49777596056 50087930196 55999795563 66783906928 74666394084 75131895294 99555192112 100175860392 111999591126 149332788168 150263790588 200351720784 223999182252 298665576336 300527581176 447998364504 601055162352 895996729008 1673771667383 3347543334766 5021315002149 6695086669532 10042630004298 13390173339064 15063945006447 20085260008596 26780346678128 30127890012894 40170520017192 60255780025788 80341040034384 120511560051576 241023120103152