Search a number
-
+
3141220434120 = 233353600780777
BaseRepresentation
bin101101101101011111010…
…101000000000011001000
3102010022001001102122002000
4231231133111000003020
5402431204412342440
610403020131311000
7442642241066256
oct55553725000310
912108031378060
103141220434120
11100120305305a
1242895844b460
1319a2a61bc262
14ac0706535d6
1556a9c68a730
hex2db5f5400c8

3141220434120 has 128 divisors (see below), whose sum is σ = 10471155206400. Its totient is φ = 837625148928.

The previous prime is 3141220434119. The next prime is 3141220434139. The reversal of 3141220434120 is 214340221413.

3141220434120 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 220 + 434 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38847172 + ... + 38927948.

It is an arithmetic number, because the mean of its divisors is an integer number (81805900050).

Almost surely, 23141220434120 is an apocalyptic number.

3141220434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141220434120 is an abundant number, since it is smaller than the sum of its proper divisors (7329934772280).

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

3141220434120 is a wasteful number, since it uses less digits than its factorization.

3141220434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116804 (or 116794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3141220434120 its reverse (214340221413), we get a palindrome (3355560655533).

The spelling of 3141220434120 in words is "three trillion, one hundred forty-one billion, two hundred twenty million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 36007 72014 80777 108021 144028 161554 180035 216042 242331 288056 323108 324063 360070 403885 432084 484662 540105 646216 648126 720140 726993 807770 864168 969324 972189 1080210 1211655 1296252 1440280 1453986 1615540 1620315 1938648 1944378 2160420 2180979 2423310 2592504 2907972 3231080 3240630 3634965 3888756 4320840 4361958 4846620 4860945 5815944 6481260 7269930 7777512 8723916 9693240 9721890 10904895 12962520 14539860 17447832 19443780 21809790 29079720 38887560 43619580 87239160 2908537439 5817074878 8725612317 11634149756 14542687195 17451224634 23268299512 26176836951 29085374390 34902449268 43628061585 52353673902 58170748780 69804898536 78530510853 87256123170 104707347804 116341497560 130884184755 157061021706 174512246340 209414695608 261768369510 314122043412 349024492680 392652554265 523536739020 628244086824 785305108530 1047073478040 1570610217060 3141220434120