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34121455320 = 2335617875923
BaseRepresentation
bin11111110001110011…
…000001011011011000
310021001222112112012110
4133301303001123120
51024340043032240
623401501112320
72315363404401
oct376163013330
9107058475173
1034121455320
111351a743457
1267432586a0
1332aa1ccc64
1419199769a8
15d4a890c80
hex7f1cc16d8

34121455320 has 128 divisors (see below), whose sum is σ = 104192259840. Its totient is φ = 8937008640.

The previous prime is 34121455289. The next prime is 34121455321. The reversal of 34121455320 is 2355412143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121455321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5757879 + ... + 5763801.

It is an arithmetic number, because the mean of its divisors is an integer number (814002030).

Almost surely, 234121455320 is an apocalyptic number.

34121455320 is a gapful number since it is divisible by the number (30) 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 34121455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52096129920).

34121455320 is an abundant number, since it is smaller than the sum of its proper divisors (70070804520).

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

34121455320 is a wasteful number, since it uses less digits than its factorization.

34121455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34121455320 its reverse (2355412143), we get a palindrome (36476867463).

The spelling of 34121455320 in words is "thirty-four billion, one hundred twenty-one million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 787 915 1220 1464 1574 1830 2361 2440 3148 3660 3935 4722 5923 6296 7320 7870 9444 11805 11846 15740 17769 18888 23610 23692 29615 31480 35538 47220 47384 48007 59230 71076 88845 94440 96014 118460 142152 144021 177690 192028 236920 240035 288042 355380 361303 384056 480070 576084 710760 720105 722606 960140 1083909 1152168 1440210 1445212 1806515 1920280 2167818 2880420 2890424 3613030 4335636 4661401 5419545 5760840 7226060 8671272 9322802 10839090 13984203 14452120 18645604 21678180 23307005 27968406 37291208 43356360 46614010 55936812 69921015 93228020 111873624 139842030 186456040 279684060 284345461 559368120 568690922 853036383 1137381844 1421727305 1706072766 2274763688 2843454610 3412145532 4265181915 5686909220 6824291064 8530363830 11373818440 17060727660 34121455320