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241344010240140 = 223529655792115059
BaseRepresentation
bin110110111000000001000111…
…111111111100000010001100
31011122112021002000221100220010
4312320001013333330002030
5223113140013110141030
62213143524021353220
7101556346363050033
oct6670010777740214
91148467060840803
10241344010240140
116a999468a563a5
122309a104868810
13a48884779b992
1443851806b371a
151cd7da17b26b0
hexdb8047ffc08c

241344010240140 has 96 divisors (see below), whose sum is σ = 699076399392000. Its totient is φ = 62138170538752.

The previous prime is 241344010240093. The next prime is 241344010240141. The reversal of 241344010240140 is 41042010443142.

It is a happy number.

241344010240140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241344010240098 and 241344010240107.

It is not an unprimeable number, because it can be changed into a prime (241344010240141) 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, 113049931 + ... + 115164989.

It is an arithmetic number, because the mean of its divisors is an integer number (7282045827000).

Almost surely, 2241344010240140 is an apocalyptic number.

241344010240140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241344010240140 is an abundant number, since it is smaller than the sum of its proper divisors (457732389151860).

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

241344010240140 is a wasteful number, since it uses less digits than its factorization.

241344010240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180679 (or 2180677 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 241344010240140 its reverse (41042010443142), we get a palindrome (282386020683282).

The spelling of 241344010240140 in words is "two hundred forty-one trillion, three hundred forty-four billion, ten million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 65579 131158 196737 262316 327895 393474 655790 786948 983685 1311580 1901791 1967370 2115059 3803582 3934740 4230118 5705373 6345177 7607164 8460236 9508955 10575295 11410746 12690354 19017910 21150590 22821492 25380708 28526865 31725885 38035820 42301180 57053730 61336711 63451770 114107460 122673422 126903540 184010133 245346844 306683555 368020266 613367110 736040532 920050665 1226734220 1840101330 3680202660 138703454161 277406908322 416110362483 554813816644 693517270805 832220724966 1387034541610 1664441449932 2080551812415 2774069083220 4022400170669 4161103624830 8044800341338 8322207249660 12067200512007 16089600682676 20112000853345 24134401024014 40224001706690 48268802048028 60336002560035 80448003413380 120672005120070 241344010240140