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241023000140 = 225131923676997
BaseRepresentation
bin1110000001111000010…
…1110001111001001100
3212001010022022000100222
43200132011301321030
512422103342001030
6302420251210512
723261526461336
oct3403605617114
9761108260328
10241023000140
11932432223aa
123a866146a38
1319961302760
14b9464a6456
156409b823e5
hex381e171e4c

241023000140 has 144 divisors (see below), whose sum is σ = 576931243392. Its totient is φ = 84067517952.

The previous prime is 241023000131. The next prime is 241023000149. The reversal of 241023000140 is 41000320142.

It is an interprime number because it is at equal distance from previous prime (241023000131) and next prime (241023000149).

It is not an unprimeable number, because it can be changed into a prime (241023000149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34443122 + ... + 34450118.

It is an arithmetic number, because the mean of its divisors is an integer number (4006466968).

Almost surely, 2241023000140 is an apocalyptic number.

241023000140 is a gapful number since it is divisible by the number (20) 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 241023000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288465621696).

241023000140 is an abundant number, since it is smaller than the sum of its proper divisors (335908243252).

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

241023000140 is a wasteful number, since it uses less digits than its factorization.

241023000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 241023000140 its reverse (41000320142), we get a palindrome (282023320282).

The spelling of 241023000140 in words is "two hundred forty-one billion, twenty-three million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 367 380 494 722 734 988 1235 1444 1468 1805 1835 2470 3610 3670 4693 4771 4940 6973 6997 7220 7340 9386 9542 13946 13994 18772 19084 23465 23855 27892 27988 34865 34985 46930 47710 69730 69970 90649 90961 93860 95420 132487 132943 139460 139940 181298 181922 264974 265886 362596 363844 453245 454805 529948 531772 662435 664715 906490 909610 1324870 1329430 1722331 1728259 1812980 1819220 2525917 2567899 2649740 2658860 3444662 3456518 5051834 5135798 6889324 6913036 8611655 8641295 10103668 10271596 12629585 12839495 17223310 17282590 25259170 25678990 32836921 33382687 34446620 34565180 48790081 50518340 51357980 65673842 66765374 97580162 131347684 133530748 164184605 166913435 195160324 243950405 328369210 333826870 487900810 634271053 656738420 667653740 927011539 975801620 1268542106 1854023078 2537084212 3171355265 3708046156 4635057695 6342710530 9270115390 12051150007 12685421060 18540230780 24102300014 48204600028 60255750035 120511500070 241023000140