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338111307940 = 225789156717317
BaseRepresentation
bin1001110101110010000…
…00010010000010100100
31012022201120002001210211
410322321000102002210
521014422443323230
6415154242425204
733266466461320
oct4727100220244
91168646061724
10338111307940
1112043502300a
1255640962204
1325b648095b3
141251694a980
158bdd46d42a
hex4eb90120a4

338111307940 has 96 divisors (see below), whose sum is σ = 821155829760. Its totient is φ = 114541599744.

The previous prime is 338111307929. The next prime is 338111307959. The reversal of 338111307940 is 49703111833.

It is a super-2 number, since 2×3381113079402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338111307893 and 338111307902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19516162 + ... + 19533478.

It is an arithmetic number, because the mean of its divisors is an integer number (8553706560).

Almost surely, 2338111307940 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 338111307940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410577914880).

338111307940 is an abundant number, since it is smaller than the sum of its proper divisors (483044521820).

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

338111307940 is a wasteful number, since it uses less digits than its factorization.

338111307940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18989 (or 18987 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 338111307940 in words is "three hundred thirty-eight billion, one hundred eleven million, three hundred seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1567 1780 2492 3115 3134 6230 6268 7835 10969 12460 15670 17317 21938 31340 34634 43876 54845 69268 86585 109690 121219 139463 173170 219380 242438 278926 346340 484876 557852 606095 697315 976241 1212190 1394630 1541213 1952482 2424380 2789260 3082426 3904964 4881205 6164852 7706065 9762410 10788491 15412130 19524820 21576982 27135739 30824260 43153964 53942455 54271478 107884910 108542956 135678695 189950173 215769820 271357390 379900346 542714780 759800692 949750865 1899501730 2415080771 3799003460 4830161542 9660323084 12075403855 16905565397 24150807710 33811130794 48301615420 67622261588 84527826985 169055653970 338111307940