Search a number
-
+
34340444511450 = 23527112973198659
BaseRepresentation
bin1111100111011100000011…
…11111110001110011011010
311111120220200121210112201220
413303232001333301303122
514000113212243331300
6201011441000352510
710143005141115360
oct763560177616332
9144526617715656
1034340444511450
11aa3a778744aa0
123a274a9475736
1316213a024355c
1486a12d069630
153e8418e81da0
hex1f3b81ff1cda

34340444511450 has 96 divisors (see below), whose sum is σ = 106178870545920. Its totient is φ = 7135676779200.

The previous prime is 34340444511433. The next prime is 34340444511517. The reversal of 34340444511450 is 5411544404343.

It is a super-2 number, since 2×343404445114502 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486587780 + ... + 1486610879.

It is an arithmetic number, because the mean of its divisors is an integer number (1106029901520).

Almost surely, 234340444511450 is an apocalyptic number.

34340444511450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34340444511450 is an abundant number, since it is smaller than the sum of its proper divisors (71838426034470).

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

34340444511450 is a wasteful number, since it uses less digits than its factorization.

34340444511450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973198692 (or 2973198687 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 34340444511450 its reverse (5411544404343), we get a palindrome (39751988915793).

The spelling of 34340444511450 in words is "thirty-four trillion, three hundred forty billion, four hundred forty-four million, five hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 11550 2973198659 5946397318 8919595977 14865993295 17839191954 20812390613 29731986590 32705185249 41624781226 44597979885 62437171839 65410370498 74329966475 89195959770 98115555747 104061953065 124874343678 148659932950 163525926245 196231111494 208123906130 222989899425 228936296743 312185859195 327051852490 445979798850 457872593486 490577778735 520309765325 624371718390 686808890229 817629631225 981155557470 1040619530650 1144681483715 1373617780458 1560929295975 1635259262450 2289362967430 2452888893675 3121858591950 3434044451145 4905777787350 5723407418575 6868088902290 11446814837150 17170222255725 34340444511450