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241020232440 = 233513563274423
BaseRepresentation
bin1110000001110111101…
…1001110001011111000
3212001010010002101210120
43200131323032023320
512422102134414230
6302420112013240
723261464113261
oct3403573161370
9761103071716
10241020232440
1193241701a49
123a865231220
1319960873a70
14b945d85968
1564097d7310
hex381dece2f8

241020232440 has 128 divisors (see below), whose sum is σ = 780066685440. Its totient is φ = 59222462976.

The previous prime is 241020232421. The next prime is 241020232457. The reversal of 241020232440 is 44232020142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241020232440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741069 + ... + 1015491.

It is an arithmetic number, because the mean of its divisors is an integer number (6094270980).

Almost surely, 2241020232440 is an apocalyptic number.

241020232440 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 241020232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390033342720).

241020232440 is an abundant number, since it is smaller than the sum of its proper divisors (539046453000).

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

241020232440 is a wasteful number, since it uses less digits than its factorization.

241020232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275013 (or 275009 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 241020232440 its reverse (44232020142), we get a palindrome (285252252582).

The spelling of 241020232440 in words is "two hundred forty-one billion, twenty million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 563 780 1126 1560 1689 2252 2815 3378 4504 5630 6756 7319 8445 11260 13512 14638 16890 21957 22520 29276 33780 36595 43914 58552 67560 73190 87828 109785 146380 175656 219570 274423 292760 439140 548846 823269 878280 1097692 1372115 1646538 2195384 2744230 3293076 3567499 4116345 5488460 6586152 7134998 8232690 10702497 10976920 14269996 16465380 17837495 21404994 28539992 32930760 35674990 42809988 53512485 71349980 85619976 107024970 142699960 154500149 214049940 309000298 428099880 463500447 618000596 772500745 927000894 1236001192 1545001490 1854001788 2008501937 2317502235 3090002980 3708003576 4017003874 4635004470 6025505811 6180005960 8034007748 9270008940 10042509685 12051011622 16068015496 18540017880 20085019370 24102023244 30127529055 40170038740 48204046488 60255058110 80340077480 120510116220 241020232440