Search a number
-
+
233014310441340 = 223519431474242501
BaseRepresentation
bin110100111110110011011111…
…001100111001000101111100
31010120000221122221012211112120
4310332303133030321011330
5221020201301433110330
62143325144010402540
7100036504556014341
oct6476633714710574
91116027587184476
10233014310441340
11682778a56344aa
1222173899130450
13a003202c5239c
144177d4a6b07c8
151be1384ab2c10
hexd3ecdf33917c

233014310441340 has 96 divisors (see below), whose sum is σ = 688372476503040. Its totient is φ = 58730191200000.

The previous prime is 233014310441329. The next prime is 233014310441351. The reversal of 233014310441340 is 43144013410332.

It is an interprime number because it is at equal distance from previous prime (233014310441329) and next prime (233014310441351).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236629911 + ... + 237612590.

It is an arithmetic number, because the mean of its divisors is an integer number (7170546630240).

Almost surely, 2233014310441340 is an apocalyptic number.

233014310441340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233014310441340 is an abundant number, since it is smaller than the sum of its proper divisors (455358166061700).

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

233014310441340 is a wasteful number, since it uses less digits than its factorization.

233014310441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474242963 (or 474242961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 233014310441340 its reverse (43144013410332), we get a palindrome (276158323851672).

The spelling of 233014310441340 in words is "two hundred thirty-three trillion, fourteen billion, three hundred ten million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 431 570 862 1140 1293 1724 2155 2586 4310 5172 6465 8189 8620 12930 16378 24567 25860 32756 40945 49134 81890 98268 122835 163780 245670 491340 474242501 948485002 1422727503 1896970004 2371212505 2845455006 4742425010 5690910012 7113637515 9010607519 9484850020 14227275030 18021215038 27031822557 28454550060 36042430076 45053037595 54063645114 90106075190 108127290228 135159112785 180212150380 204398517931 270318225570 408797035862 540636451140 613195553793 817594071724 1021992589655 1226391107586 2043985179310 2452782215172 3065977768965 3883571840689 4087970358620 6131955537930 7767143681378 11650715522067 12263911075860 15534287362756 19417859203445 23301431044134 38835718406890 46602862088268 58253577610335 77671436813780 116507155220670 233014310441340