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243130112440 = 235173779122321
BaseRepresentation
bin1110001001101110101…
…1110001100110111000
3212020120011012102001021
43202123223301212320
512440412302044230
6303405322032224
723364663600025
oct3423353614670
9766504172037
10243130112440
1194124679026
123b153948674
1319c08a10977
14baa628454c
1564ceb51c7a
hex389baf19b8

243130112440 has 128 divisors (see below), whose sum is σ = 602411385600. Its totient is φ = 87929487360.

The previous prime is 243130112363. The next prime is 243130112447. The reversal of 243130112440 is 44211031342.

It is a super-2 number, since 2×2431301124402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243130112447) 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, 1926480 + ... + 2048800.

It is an arithmetic number, because the mean of its divisors is an integer number (4706338950).

Almost surely, 2243130112440 is an apocalyptic number.

243130112440 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 243130112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301205692800).

243130112440 is an abundant number, since it is smaller than the sum of its proper divisors (359281273160).

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

243130112440 is a wasteful number, since it uses less digits than its factorization.

243130112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122465 (or 122461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 243130112440 its reverse (44211031342), we get a palindrome (287341143782).

The spelling of 243130112440 in words is "two hundred forty-three billion, one hundred thirty million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 79 85 136 148 158 170 185 296 316 340 370 395 629 632 680 740 790 1258 1343 1480 1580 2516 2686 2923 3145 3160 5032 5372 5846 6290 6715 10744 11692 12580 13430 14615 23384 25160 26860 29230 49691 53720 58460 99382 116920 122321 198764 244642 248455 397528 489284 496910 611605 978568 993820 1223210 1987640 2079457 2446420 4158914 4525877 4892840 8317828 9051754 9663359 10397285 16635656 18103508 19326718 20794570 22629385 36207016 38653436 41589140 45258770 48316795 76939909 77306872 83178280 90517540 96633590 153879818 164277103 181035080 193267180 307759636 328554206 357544283 384699545 386534360 615519272 657108412 715088566 769399090 821385515 1314216824 1430177132 1538798180 1642771030 1787721415 2860354264 3077596360 3285542060 3575442830 6078252811 6571084120 7150885660 12156505622 14301771320 24313011244 30391264055 48626022488 60782528110 121565056220 243130112440