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1041141301000 = 235312746117783
BaseRepresentation
bin11110010011010001101…
…10110111111100001000
310200112100221001001121221
433021220312313330020
5114024224133113000
62114143235211424
7135135311020003
oct17115066677410
93615327031557
101041141301000
113716001382a9
12149944146b74
137724392c828
143856a42453a
151c13854161a
hexf268db7f08

1041141301000 has 128 divisors (see below), whose sum is σ = 2460918620160. Its totient is φ = 412257888000.

The previous prime is 1041141300937. The next prime is 1041141301003. The reversal of 1041141301000 is 1031411401.

It is not an unprimeable number, because it can be changed into a prime (1041141301003) 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, 58538109 + ... + 58555891.

It is an arithmetic number, because the mean of its divisors is an integer number (19225926720).

Almost surely, 21041141301000 is an apocalyptic number.

1041141301000 is a gapful number since it is divisible by the number (10) 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 1041141301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230459310080).

1041141301000 is an abundant number, since it is smaller than the sum of its proper divisors (1419777319160).

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

1041141301000 is a wasteful number, since it uses less digits than its factorization.

1041141301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18392 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1041141301000 its reverse (1031411401), we get a palindrome (1042172712401).

The spelling of 1041141301000 in words is "one trillion, forty-one billion, one hundred forty-one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 461 500 508 635 922 1000 1016 1270 1844 2305 2540 3175 3688 4610 5080 6350 9220 11525 12700 15875 17783 18440 23050 25400 31750 35566 46100 57625 58547 63500 71132 88915 92200 115250 117094 127000 142264 177830 230500 234188 292735 355660 444575 461000 468376 585470 711320 889150 1170940 1463675 1778300 2222875 2258441 2341880 2927350 3556600 4445750 4516882 5854700 7318375 8197963 8891500 9033764 11292205 11709400 14636750 16395926 17783000 18067528 22584410 29273500 32791852 40989815 45168820 56461025 58547000 65583704 81979630 90337640 112922050 163959260 204949075 225844100 282305125 327918520 409898150 451688200 564610250 819796300 1024745375 1041141301 1129220500 1639592600 2049490750 2082282602 2258441000 4098981500 4164565204 5205706505 8197963000 8329130408 10411413010 20822826020 26028532525 41645652040 52057065050 104114130100 130142662625 208228260200 260285325250 520570650500 1041141301000