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4700134341100 = 225211131101932009
BaseRepresentation
bin100010001100101010111…
…0101100111100111101100
3121122022212102222100000101
41010121111311213213230
51104001333342403400
613555113434440444
7663400465500502
oct104312565474754
917568772870011
104700134341100
111552352337770
1263ab01593124
132812b4041043
141236b8414672
15823dbc4c56a
hex44655d679ec

4700134341100 has 144 divisors (see below), whose sum is σ = 11222787945600. Its totient is φ = 1694375488000.

The previous prime is 4700134341041. The next prime is 4700134341107. The reversal of 4700134341100 is 11434310074.

It is a super-2 number, since 2×47001343411002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4700134341107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146821896 + ... + 146853904.

It is an arithmetic number, because the mean of its divisors is an integer number (77936027400).

Almost surely, 24700134341100 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 4700134341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611393972800).

4700134341100 is an abundant number, since it is smaller than the sum of its proper divisors (6522653604500).

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

4700134341100 is a wasteful number, since it uses less digits than its factorization.

4700134341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33184 (or 33177 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 4700134341100 its reverse (11434310074), we get a palindrome (4711568651174).

The spelling of 4700134341100 in words is "four trillion, seven hundred billion, one hundred thirty-four million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1019 1100 1310 1441 2038 2620 2882 3275 4076 5095 5764 6550 7205 10190 11209 13100 14410 20380 22418 25475 28820 32009 36025 44836 50950 56045 64018 72050 101900 112090 128036 133489 144100 160045 224180 266978 280225 320090 352099 533956 560450 640180 667445 704198 800225 1120900 1334890 1408396 1468379 1600450 1760495 2669780 2936758 3200900 3337225 3520990 4193179 5873516 6674450 7041980 7341895 8386358 8802475 13348900 14683790 16772716 17604950 20965895 29367580 32617171 35209900 36709475 41931790 46124969 65234342 73418950 83863580 92249938 104829475 130468684 146837900 163085855 184499876 209658950 230624845 326171710 358788881 419317900 461249690 652343420 717577762 815429275 922499380 1153124225 1435155524 1630858550 1793944405 2306248450 3261717100 3587888810 4272849401 4612496900 7175777620 8545698802 8969722025 17091397604 17939444050 21364247005 35878888100 42728494010 47001343411 85456988020 94002686822 106821235025 188005373644 213642470050 235006717055 427284940100 470013434110 940026868220 1175033585275 2350067170550 4700134341100