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334224113140 = 225232063352193
BaseRepresentation
bin1001101110100010100…
…11110011110111110100
31011221200122122010000001
410313101103303313310
520433442333110030
6413312422401044
733101246042011
oct4672123636764
91157618563001
10334224113140
1111981a887025
1254936b90184
1325695393028
141226859c708
158a6207bcca
hex4dd14f3df4

334224113140 has 48 divisors (see below), whose sum is σ = 732743843328. Its totient is φ = 127814703104.

The previous prime is 334224113137. The next prime is 334224113161. The reversal of 334224113140 is 41311422433.

It is a happy number.

It is a super-2 number, since 2×3342241131402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334224113099 and 334224113108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 772884 + ... + 1125076.

It is an arithmetic number, because the mean of its divisors is an integer number (15265496736).

Almost surely, 2334224113140 is an apocalyptic number.

It is an amenable number.

334224113140 is an abundant number, since it is smaller than the sum of its proper divisors (398519730188).

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

334224113140 is a wasteful number, since it uses less digits than its factorization.

334224113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354288 (or 354286 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334224113140 its reverse (41311422433), we get a palindrome (375535535573).

The spelling of 334224113140 in words is "three hundred thirty-four billion, two hundred twenty-four million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 2063 4126 8252 10315 20630 41260 47449 94898 189796 237245 352193 474490 704386 948980 1408772 1760965 3521930 7043860 8100439 16200878 32401756 40502195 81004390 162008780 726574159 1453148318 2906296636 3632870795 7265741590 14531483180 16711205657 33422411314 66844822628 83556028285 167112056570 334224113140