Search a number
-
+
942109959375 = 32551312891999
BaseRepresentation
bin11011011010110100010…
…00010010010011001111
310100001202021002122212100
431231122020102103033
5110413420122200000
62000444354010143
7125031235345254
oct15553210222317
93301667078770
10942109959375
11333601569612
12132706876953
136aac0a05730
1433853cb342b
151978e396a00
hexdb5a2124cf

942109959375 has 144 divisors (see below), whose sum is σ = 1834101360000. Its totient is φ = 463216320000.

The previous prime is 942109959361. The next prime is 942109959407. The reversal of 942109959375 is 573959901249.

942109959375 is a `hidden beast` number, since 9 + 421 + 0 + 99 + 59 + 3 + 75 = 666.

942109959375 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 942109959375 - 212 = 942109955279 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 471289626 + ... + 471291624.

It is an arithmetic number, because the mean of its divisors is an integer number (12736815000).

Almost surely, 2942109959375 is an apocalyptic number.

942109959375 is a deficient number, since it is larger than the sum of its proper divisors (891991400625).

942109959375 is a wasteful number, since it uses less digits than its factorization.

942109959375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 942109959375 in words is "nine hundred forty-two billion, one hundred nine million, nine hundred fifty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 625 975 1125 1289 1625 1875 1999 2925 3125 3867 4875 5625 5997 6445 8125 9375 9995 11601 14625 16757 17991 19335 24375 25987 28125 29985 32225 40625 49975 50271 58005 73125 77961 83785 89955 96675 121875 129935 149925 150813 161125 233883 249875 251355 290025 365625 389805 418925 449775 483375 649675 749625 754065 805625 1169415 1249375 1256775 1450125 1949025 2094625 2248875 2416875 2576711 3248375 3748125 3770325 4028125 5847075 6246875 6283875 7250625 7730133 9745125 10473125 11244375 12084375 12883555 16241875 18740625 18851625 23190399 29235375 31419375 33497243 36253125 38650665 48725625 52365625 56221875 64417775 81209375 94258125 100491729 115951995 146176875 157096875 167486215 193253325 243628125 301475187 322088875 471290625 502458645 579759975 730884375 837431075 966266625 1507375935 1610444375 2512293225 2898799875 4187155375 4831333125 7536879675 8052221875 12561466125 14493999375 20935776875 24156665625 37684398375 62807330625 72469996875 104678884375 188421991875 314036653125 942109959375