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4213231440 = 2435113743133
BaseRepresentation
bin1111101100100000…
…1100111101010000
3101212121221022222220
43323020030331100
532112041401230
61534024101040
7206256606405
oct37310147520
911777838886
104213231440
111872294160
12997004780
13521b5c372
142bd7bc2ac
15199d44d10
hexfb20cf50

4213231440 has 160 divisors (see below), whose sum is σ = 14633813376. Its totient is φ = 993761280.

The previous prime is 4213231439. The next prime is 4213231441. The reversal of 4213231440 is 441323124.

4213231440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4213231439) and next prime (4213231441).

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 4213231440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213231441) 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, 76114 + ... + 119246.

Almost surely, 24213231440 is an apocalyptic number.

4213231440 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 4213231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316906688).

4213231440 is an abundant number, since it is smaller than the sum of its proper divisors (10420581936).

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

4213231440 is a wasteful number, since it uses less digits than its factorization.

4213231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43197 (or 43191 counting only the distinct ones).

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

The square root of 4213231440 is about 64909.4094873771. The cubic root of 4213231440 is about 1615.1211544098.

Adding to 4213231440 its reverse (441323124), we get a palindrome (4654554564).

The spelling of 4213231440 in words is "four billion, two hundred thirteen 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 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 43133 48840 86266 97680 129399 172532 215665 258798 345064 431330 474463 517596 646995 690128 862660 948926 1035192 1293990 1423389 1595921 1725320 1897852 2070384 2372315 2587980 2846778 3191842 3450640 3795704 4744630 4787763 5175960 5693556 6383684 7116945 7591408 7979605 9489260 9575526 10351920 11387112 12767368 14233890 15959210 17555131 18978520 19151052 22774224 23938815 25534736 28467780 31918420 35110262 37957040 38302104 47877630 52665393 56935560 63836840 70220524 76604208 87775655 95755260 105330786 113871120 127673680 140441048 175551310 191510520 210661572 263326965 280882096 351102620 383021040 421323144 526653930 702205240 842646288 1053307860 1404410480 2106615720 4213231440