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344250552100 = 2252713154324517
BaseRepresentation
bin1010000001001101110…
…11101000111100100100
31012220120102010222120011
411000212323220330210
521120011120131400
6422051352020004
733604564261330
oct5004673507444
91186512128504
10344250552100
11122aa550a014
1256874991604
13266026a9650
141293a0447c0
158e4c40d8ba
hex5026ee8f24

344250552100 has 144 divisors (see below), whose sum is σ = 920047168768. Its totient is φ = 108874575360.

The previous prime is 344250552049. The next prime is 344250552167. The reversal of 344250552100 is 1255052443.

It is a super-5 number, since 5×3442505521005 (a number of 59 digits) contains 55555 as substring.

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, 14029042 + ... + 14053558.

Almost surely, 2344250552100 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 344250552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460023584384).

344250552100 is an abundant number, since it is smaller than the sum of its proper divisors (575796616668).

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

344250552100 is a wasteful number, since it uses less digits than its factorization.

344250552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26094 (or 26087 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 344250552100 in words is "three hundred forty-four billion, two hundred fifty million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1543 1820 2275 3086 4550 6172 7715 9100 10801 15430 20059 21602 24517 30860 38575 40118 43204 49034 54005 77150 80236 98068 100295 108010 122585 140413 154300 171619 200590 216020 245170 270025 280826 318721 343238 401180 490340 501475 540050 561652 612925 637442 686476 702065 858095 1002950 1080100 1225850 1274884 1404130 1593605 1716190 2005900 2231047 2451700 2808260 3187210 3432380 3510325 4290475 4462094 6374420 7020650 7968025 8580950 8924188 11155235 14041300 15936050 17161900 22310470 31872100 37829731 44620940 55776175 75659462 111552350 151318924 189148655 223104700 264808117 378297310 491786503 529616234 756594620 945743275 983573006 1059232468 1324040585 1891486550 1967146012 2458932515 2648081170 3442505521 3782973100 4917865030 5296162340 6620202925 6885011042 9835730060 12294662575 13240405850 13770022084 17212527605 24589325150 26480811700 34425055210 49178650300 68850110420 86062638025 172125276050 344250552100