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4312231440 = 2435113152691
BaseRepresentation
bin1000000010000011…
…10110111000010000
3102010112020001110120
410001001312320100
532312412401230
61551522030240
7211601235216
oct40101667020
912115201416
104312231440
111913162340
12a041a8380
1353951294a
142cc9cccb6
151a389d310
hex101076e10

4312231440 has 160 divisors (see below), whose sum is σ = 15053893632. Its totient is φ = 1011648000.

The previous prime is 4312231439. The next prime is 4312231447. The reversal of 4312231440 is 441322134.

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 4312231440.

It is not an unprimeable number, because it can be changed into a prime (4312231447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55495 + ... + 108185.

Almost surely, 24312231440 is an apocalyptic number.

4312231440 is a gapful number since it is divisible by the number (40) 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 4312231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526946816).

4312231440 is an abundant number, since it is smaller than the sum of its proper divisors (10741662192).

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

4312231440 is a wasteful number, since it uses less digits than its factorization.

4312231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52749 (or 52743 counting only the distinct ones).

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

The square root of 4312231440 is about 65667.5828700890. The cubic root of 4312231440 is about 1627.6737288029.

Adding to 4312231440 its reverse (441322134), we get a palindrome (4753553574).

The spelling of 4312231440 in words is "four billion, three hundred twelve million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 52691 81840 105382 158073 210764 263455 316146 421528 526910 579601 632292 790365 843056 1053820 1159202 1264584 1580730 1633421 1738803 2107640 2318404 2529168 2898005 3161460 3266842 3477606 4215280 4636808 4900263 5796010 6322920 6533684 6955212 8167105 8694015 9273616 9800526 11592020 12645840 13067368 13910424 16334210 17388030 17967631 19601052 23184040 24501315 26134736 27820848 32668420 34776060 35935262 39202104 46368080 49002630 53902893 65336840 69552120 71870524 78404208 89838155 98005260 107805786 130673680 139104240 143741048 179676310 196010520 215611572 269514465 287482096 359352620 392021040 431223144 539028930 718705240 862446288 1078057860 1437410480 2156115720 4312231440