Search a number
-
+
3120316470920 = 23511192111768927
BaseRepresentation
bin101101011010000001010…
…110101101011010001000
3102001022002012221021102202
4231122001112231122020
5402110402004032140
610345241551015332
7441302231246165
oct55320126553210
912038065837382
103120316470920
11aa3356335110
124248a380a548
1319832446106c
14ab04a29d06c
15562773ad915
hex2d6815ad688

3120316470920 has 128 divisors (see below), whose sum is σ = 8100275097600. Its totient is φ = 1069846444800.

The previous prime is 3120316470919. The next prime is 3120316470949. The reversal of 3120316470920 is 290746130213.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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, 879497 + ... + 2648423.

It is an arithmetic number, because the mean of its divisors is an integer number (63283399200).

Almost surely, 23120316470920 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 3120316470920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050137548800).

3120316470920 is an abundant number, since it is smaller than the sum of its proper divisors (4979958626680).

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

3120316470920 is a wasteful number, since it uses less digits than its factorization.

3120316470920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769179 (or 1769175 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 3120316470920 in words is "three trillion, one hundred twenty billion, three hundred sixteen million, four hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 211 220 380 418 422 440 760 836 844 1045 1055 1672 1688 2090 2110 2321 4009 4180 4220 4642 8018 8360 8440 9284 11605 16036 18568 20045 23210 32072 40090 44099 46420 80180 88198 92840 160360 176396 220495 352792 440990 881980 1763960 1768927 3537854 7075708 8844635 14151416 17689270 19458197 33609613 35378540 38916394 67219226 70757080 77832788 97290985 134438452 155665576 168048065 194581970 268876904 336096130 369705743 373243597 389163940 672192260 739411486 746487194 778327880 1344384520 1478822972 1492974388 1848528715 1866217985 2957645944 2985948776 3697057430 3732435970 4105679567 7091628343 7394114860 7464871940 8211359134 14183256686 14788229720 14929743880 16422718268 20528397835 28366513372 32845436536 35458141715 41056795670 56733026744 70916283430 78007911773 82113591340 141832566860 156015823546 164227182680 283665133720 312031647092 390039558865 624063294184 780079117730 1560158235460 3120316470920