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241342222242168 = 23341975725894577
BaseRepresentation
bin110110110111111111011101…
…011011010001000101111000
31011122112002110102111122210000
4312313333131123101011320
5223113122332343222133
62213143030350353000
7101556254152240665
oct6667773533210570
91148462412448700
10241342222242168
116a99873074a023
12230998a5abb760
13a488621221808
144385051042a6c
151cd7ce982a413
hexdb7fdd6d1178

241342222242168 has 160 divisors (see below), whose sum is σ = 712499671501200. Its totient is φ = 76112652284928.

The previous prime is 241342222242167. The next prime is 241342222242169. The reversal of 241342222242168 is 861242222243142.

241342222242168 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 422 + 2 + 2 + 2 + 4 + 216 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (241342222242167) and next prime (241342222242169).

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 (241342222242167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3627105 + ... + 22267472.

Almost surely, 2241342222242168 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 241342222242168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356249835750600).

241342222242168 is an abundant number, since it is smaller than the sum of its proper divisors (471157449259032).

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

241342222242168 is a wasteful number, since it uses less digits than its factorization.

241342222242168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25895371 (or 25895358 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 241342222242168 in words is "two hundred forty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 757 1026 1368 1514 1539 2052 2271 3028 3078 4104 4542 6056 6156 6813 9084 12312 13626 14383 18168 20439 27252 28766 40878 43149 54504 57532 61317 81756 86298 115064 122634 129447 163512 172596 245268 258894 345192 388341 490536 517788 776682 1035576 1165023 1553364 2330046 3106728 4660092 9320184 25894577 51789154 77683731 103578308 155367462 207156616 233051193 310734924 466102386 491996963 621469848 699153579 932204772 983993926 1398307158 1475990889 1864409544 1967987852 2097460737 2796614316 2951981778 3935975704 4194921474 4427972667 5593228632 5903963556 8389842948 8855945334 11807927112 13283918001 16779685896 17711890668 19602194789 26567836002 35423781336 39204389578 39851754003 53135672004 58806584367 78408779156 79703508006 106271344008 117613168734 156817558312 159407016012 176419753101 235226337468 318814032024 352839506202 372441700991 470452674936 529259259303 705679012404 744883401982 1058518518606 1117325102973 1411358024808 1489766803964 1587777777909 2117037037212 2234650205946 2979533607928 3175555555818 3351975308919 4234074074424 4469300411892 6351111111636 6703950617838 8938600823784 10055925926757 12702222223272 13407901235676 20111851853514 26815802471352 30167777780271 40223703707028 60335555560542 80447407414056 120671111121084 241342222242168