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201423311440 = 245132368312329
BaseRepresentation
bin1011101110010111000…
…0111101001001010000
3201020220112111101201221
42323211300331021100
511300003331431230
6232311012334424
720360312620021
oct2734560751120
9636815441657
10201423311440
117847223214a
1233054314414
1315cc01703b0
149a6b140c48
15538d3c127a
hex2ee5c3d250

201423311440 has 160 divisors (see below), whose sum is σ = 527073765120. Its totient is φ = 71028215808.

The previous prime is 201423311399. The next prime is 201423311443. The reversal of 201423311440 is 44113324102.

201423311440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201423311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16331196 + ... + 16343524.

It is an arithmetic number, because the mean of its divisors is an integer number (3294211032).

Almost surely, 2201423311440 is an apocalyptic number.

201423311440 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 201423311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263536882560).

201423311440 is an abundant number, since it is smaller than the sum of its proper divisors (325650453680).

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

201423311440 is a wasteful number, since it uses less digits than its factorization.

201423311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13061 (or 13055 counting only the distinct ones).

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

Adding to 201423311440 its reverse (44113324102), we get a palindrome (245536635542).

The spelling of 201423311440 in words is "two hundred one billion, four hundred twenty-three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 683 920 1040 1196 1366 1495 1840 2392 2732 2990 3415 4784 5464 5980 6830 8879 10928 11960 12329 13660 15709 17758 23920 24658 27320 31418 35516 44395 49316 54640 61645 62836 71032 78545 88790 98632 123290 125672 142064 157090 160277 177580 197264 204217 246580 251344 283567 314180 320554 355160 408434 493160 567134 628360 641108 710320 801385 816868 986320 1021085 1134268 1256720 1282216 1417835 1602770 1633736 2042170 2268536 2564432 2835670 3205540 3267472 3686371 4084340 4537072 5671340 6411080 7372742 8168680 8420707 11342680 12822160 14745484 16337360 16841414 18431855 22685360 29490968 33682828 36863710 42103535 58981936 67365656 73727420 84207070 109469191 134731312 147454840 168414140 193676261 218938382 294909680 336828280 387352522 437876764 547345955 673656560 774705044 875753528 968381305 1094691910 1549410088 1751507056 1936762610 2189383820 2517791393 3098820176 3873525220 4378767640 5035582786 7747050440 8757535280 10071165572 12588956965 15494100880 20142331144 25177913930 40284662288 50355827860 100711655720 201423311440