Search a number
-
+
2340140410432 = 26112694743499
BaseRepresentation
bin100010000011011011001…
…111001110011001000000
322021201022102001000010001
4202003123033032121000
5301320101421113212
64551013510245344
7331032601201156
oct42033317163100
98251272030101
102340140410432
118224a2288600
12319650356854
1313c89c567616
1481398aad3d6
1540d1465b657
hex220db3ce640

2340140410432 has 84 divisors (see below), whose sum is σ = 5105102058000. Its totient is φ = 1063522620160.

The previous prime is 2340140410379. The next prime is 2340140410469.

2340140410432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2340140410432.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53775819 + ... + 53819317.

It is an arithmetic number, because the mean of its divisors is an integer number (60775024500).

Almost surely, 22340140410432 is an apocalyptic number.

2340140410432 is a gapful number since it is divisible by the number (22) 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 2340140410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552551029000).

2340140410432 is an abundant number, since it is smaller than the sum of its proper divisors (2764961647568).

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

2340140410432 is a wasteful number, since it uses less digits than its factorization.

2340140410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50480 (or 50459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2340140 and 410432, that added together give a palindrome (2750572).

The spelling of 2340140410432 in words is "two trillion, three hundred forty billion, one hundred forty million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 6947 7744 13894 27788 43499 55576 76417 86998 111152 152834 173996 222304 305668 347992 444608 478489 611336 695984 840587 956978 1222672 1391968 1681174 1913956 2445344 2783936 3362348 3827912 4890688 5263379 6724696 7655824 10526758 13449392 15311648 21053516 26898784 30623296 42107032 53797568 84214064 168428128 302187553 336856256 604375106 1208750212 2417500424 3324063083 4835000848 6648126166 9670001696 13296252332 19340003392 26592504664 36564693913 53185009328 73129387826 106370018656 146258775652 212740037312 292517551304 585035102608 1170070205216 2340140410432