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231312444440 = 235711619712119
BaseRepresentation
bin1101011101101101001…
…0111100110000011000
3211010001120011200011212
43113123102330300120
512242211441210230
6254132524242252
722466065223330
oct3273322746030
9733046150155
10231312444440
118a10a932160
12389b60a0388
1318a745885cc
14b2a496a0c0
15603c3ea895
hex35db4bcc18

231312444440 has 128 divisors (see below), whose sum is σ = 649034726400. Its totient is φ = 72079802880.

The previous prime is 231312444431. The next prime is 231312444487. The reversal of 231312444440 is 44444213132.

It is a junction number, because it is equal to n+sod(n) for n = 231312444397 and 231312444406.

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, 19080701 + ... + 19092819.

It is an arithmetic number, because the mean of its divisors is an integer number (5070583800).

Almost surely, 2231312444440 is an apocalyptic number.

231312444440 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 231312444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324517363200).

231312444440 is an abundant number, since it is smaller than the sum of its proper divisors (417722281960).

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

231312444440 is a wasteful number, since it uses less digits than its factorization.

231312444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 231312444440 its reverse (44444213132), we get a palindrome (275756657572).

The spelling of 231312444440 in words is "two hundred thirty-one billion, three hundred twelve million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 6197 12119 12394 24238 24788 30985 43379 48476 49576 60595 61970 68167 84833 86758 96952 121190 123940 133309 136334 169666 173516 216895 242380 247880 266618 272668 339332 340835 347032 424165 433790 477169 484760 533236 545336 666545 678664 681670 848330 867580 933163 954338 1066472 1333090 1363340 1696660 1735160 1866326 1908676 2385845 2666180 2726680 3393320 3732652 3817352 4665815 4771690 5332360 7465304 9331630 9543380 18663260 19086760 37326520 75101443 150202886 300405772 375507215 525710101 600811544 751014430 826115873 1051420202 1502028860 1652231746 2102840404 2628550505 3004057720 3304463492 4130579365 4205680808 5257101010 5782811111 6608926984 8261158730 10514202020 11565622222 16522317460 21028404040 23131244444 28914055555 33044634920 46262488888 57828111110 115656222220 231312444440