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34003441421400 = 23352115152036579
BaseRepresentation
bin1111011101101000010110…
…00011000000110001011000
311110101200211022000210002010
413232310023003000301120
513424103022000441100
6200152544302505520
710106444656115013
oct756641303006130
9143350738023063
1034003441421400
11a91a86223a540
1239921178952a0
1315c86842042b9
14857abd79a37a
153de792e6e750
hex1eed0b0c0c58

34003441421400 has 96 divisors (see below), whose sum is σ = 114993456465600. Its totient is φ = 8243258524800.

The previous prime is 34003441421329. The next prime is 34003441421437. The reversal of 34003441421400 is 412414430043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576011690 + ... + 2576024889.

It is an arithmetic number, because the mean of its divisors is an integer number (1197848504850).

Almost surely, 234003441421400 is an apocalyptic number.

34003441421400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34003441421400 is an abundant number, since it is smaller than the sum of its proper divisors (80990015044200).

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

34003441421400 is a wasteful number, since it uses less digits than its factorization.

34003441421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152036609 (or 5152036600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34003441421400 its reverse (412414430043), we get a palindrome (34415855851443).

The spelling of 34003441421400 in words is "thirty-four trillion, three billion, four hundred forty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 5152036579 10304073158 15456109737 20608146316 25760182895 30912219474 41216292632 51520365790 56672402369 61824438948 77280548685 103040731580 113344804738 123648877896 128800914475 154561097370 170017207107 206081463160 226689609476 257601828950 283362011845 309122194740 340034414214 386402743425 453379218952 515203657900 566724023690 618244389480 680068828428 772805486850 850086035535 1030407315800 1133448047380 1360137656856 1416810059225 1545610973700 1700172071070 2266896094760 2833620118450 3091221947400 3400344142140 4250430177675 5667240236900 6800688284280 8500860355350 11334480473800 17001720710700 34003441421400