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130231440240 = 243511433911369
BaseRepresentation
bin111100101001001100…
…1100001001101110000
3110110011001102121221120
41321102121201031300
54113203222041430
6135454423422240
712260153656146
oct1712231411560
9413131377846
10130231440240
115025a286660
12212a62b4980
13c385b19515
146436113596
1535c332d610
hex1e52661370

130231440240 has 160 divisors (see below), whose sum is σ = 440559302400. Its totient is φ = 31561205760.

The previous prime is 130231440239. The next prime is 130231440247. The reversal of 130231440240 is 42044132031.

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 130231440240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130231440247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11449276 + ... + 11460644.

It is an arithmetic number, because the mean of its divisors is an integer number (2753495640).

Almost surely, 2130231440240 is an apocalyptic number.

130231440240 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 130231440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220279651200).

130231440240 is an abundant number, since it is smaller than the sum of its proper divisors (310327862160).

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

130231440240 is a wasteful number, since it uses less digits than its factorization.

130231440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15735 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130231440240 its reverse (42044132031), we get a palindrome (172275572271).

The spelling of 130231440240 in words is "one hundred thirty billion, two hundred thirty-one million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4339 8678 11369 13017 17356 21695 22738 26034 34107 34712 43390 45476 47729 52068 56845 65085 68214 69424 86780 90952 95458 104136 113690 125059 130170 136428 143187 170535 173560 181904 190916 208272 227380 238645 250118 260340 272856 286374 341070 347120 375177 381832 454760 477290 500236 520680 545712 572748 625295 682140 715935 750354 763664 909520 954580 1000472 1041360 1145496 1250590 1364280 1431870 1500708 1875885 1909160 2000944 2290992 2501180 2728560 2863740 3001416 3751770 3818320 5002360 5727480 6002832 7503540 10004720 11454960 15007080 30014160 49330091 98660182 147990273 197320364 246650455 295980546 394640728 493300910 542631001 591961092 739951365 789281456 986601820 1085262002 1183922184 1479902730 1627893003 1973203640 2170524004 2367844368 2713155005 2959805460 3255786006 3946407280 4341048008 5426310010 5919610920 6511572012 8139465015 8682096016 10852620020 11839221840 13023144024 16278930030 21705240040 26046288048 32557860060 43410480080 65115720120 130231440240