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340104034100000 = 25556823498467
BaseRepresentation
bin100110101010100101010010…
…0001000111010001100100000
31122121012121221220101110021102
41031111022210020322030200
5324034231030212200000
63203201345240213532
7131431464006021602
oct11525124410721440
91577177856343242
10340104034100000
1199405346834735
123218a534a6a2a8
13117a08991ac921
145ddb1a1a41172
15294bd46a243d5
hex13552a423a320

340104034100000 has 144 divisors (see below), whose sum is σ = 837045546031296. Its totient is φ = 136021402080000.

The previous prime is 340104034099961. The next prime is 340104034100029. The reversal of 340104034100000 is 1430401043.

It is a happy number.

It is a super-2 number, since 2×3401040341000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 682050767 + ... + 682549233.

It is an arithmetic number, because the mean of its divisors is an integer number (5812816291884).

Almost surely, 2340104034100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340104034100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418522773015648).

340104034100000 is an abundant number, since it is smaller than the sum of its proper divisors (496941511931296).

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

340104034100000 is an frugal number, since it uses more digits than its factorization.

340104034100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505325 (or 505297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 340104034100000 its reverse (1430401043), we get a palindrome (340105464501043).

The spelling of 340104034100000 in words is "three hundred forty trillion, one hundred four billion, thirty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 6823 10000 12500 13646 20000 25000 27292 34115 50000 54584 68230 100000 109168 136460 170575 218336 272920 341150 498467 545840 682300 852875 996934 1091680 1364600 1705750 1993868 2492335 2729200 3411500 3987736 4264375 4984670 5458400 6823000 7975472 8528750 9969340 12461675 13646000 15950944 17057500 19938680 21321875 24923350 27292000 34115000 39877360 42643750 49846700 62308375 68230000 79754720 85287500 99693400 124616750 136460000 170575000 199386800 249233500 311541875 341150000 398773600 498467000 623083750 682300000 996934000 1246167500 1557709375 1993868000 2492335000 3115418750 3401040341 4984670000 6230837500 6802080682 9969340000 12461675000 13604161364 17005201705 24923350000 27208322728 34010403410 49846700000 54416645456 68020806820 85026008525 108833290912 136041613640 170052017050 272083227280 340104034100 425130042625 544166454560 680208068200 850260085250 1360416136400 1700520170500 2125650213125 2720832272800 3401040341000 4251300426250 6802080682000 8502600852500 10628251065625 13604161364000 17005201705000 21256502131250 34010403410000 42513004262500 68020806820000 85026008525000 170052017050000 340104034100000