Search a number
-
+
34234011244000 = 255341208743971
BaseRepresentation
bin1111100100010101110100…
…00101000101010111100000
311111012201222002211100121101
413302022322011011113200
513441342223334302000
6200450515422204144
710132216466222161
oct762127205052740
9144181862740541
1034234011244000
11a9a9620960937
123a0a945123654
13161433a9794a9
14864d13855768
153e578a078e6a
hex1f22ba1455e0

34234011244000 has 96 divisors (see below), whose sum is σ = 86164501786272. Its totient is φ = 13359614080000.

The previous prime is 34234011243973. The next prime is 34234011244007. The reversal of 34234011244000 is 44211043243.

It is a self number, because there is not a number n which added to its sum of digits gives 34234011244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234011244007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104207986 + ... + 104535985.

It is an arithmetic number, because the mean of its divisors is an integer number (897546893607).

Almost surely, 234234011244000 is an apocalyptic number.

It is an amenable number.

34234011244000 is an abundant number, since it is smaller than the sum of its proper divisors (51930490542272).

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

34234011244000 is a wasteful number, since it uses less digits than its factorization.

34234011244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208744037 (or 208744019 counting only the distinct ones).

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

Adding to 34234011244000 its reverse (44211043243), we get a palindrome (34278222287243).

The spelling of 34234011244000 in words is "thirty-four trillion, two hundred thirty-four billion, eleven million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 208743971 417487942 834975884 1043719855 1669951768 2087439710 3339903536 4174879420 5218599275 6679807072 8349758840 8558502811 10437198550 16699517680 17117005622 20874397100 26092996375 33399035360 34234011244 41748794200 42792514055 52185992750 68468022488 83497588400 85585028110 104371985500 136936044976 166995176800 171170056220 208743971000 213962570275 273872089952 342340112440 417487942000 427925140550 684680224880 834975884000 855850281100 1069812851375 1369360449760 1711700562200 2139625702750 3423401124400 4279251405500 6846802248800 8558502811000 17117005622000 34234011244000