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10214112433404 = 223111914177287269
BaseRepresentation
bin1001010010100010100010…
…0010110001010011111100
31100011110102001112211112110
42110220220202301103330
52314322000240332104
633420144245334020
72102642141115105
oct224505042612374
940143361484473
1010214112433404
113288865207320
12118b691707310
135912571613b9
142745195d33ac
1512aa5c308e89
hex94a288b14fc

10214112433404 has 96 divisors (see below), whose sum is σ = 27369982483200. Its totient is φ = 2932064040960.

The previous prime is 10214112433391. The next prime is 10214112433433. The reversal of 10214112433404 is 40433421141201.

It is a happy number.

It is a super-3 number, since 3×102141124334043 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 35412282 + ... + 35699550.

It is an arithmetic number, because the mean of its divisors is an integer number (285103984200).

Almost surely, 210214112433404 is an apocalyptic number.

It is an amenable number.

10214112433404 is an abundant number, since it is smaller than the sum of its proper divisors (17155870049796).

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

10214112433404 is a wasteful number, since it uses less digits than its factorization.

10214112433404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301483 (or 301481 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10214112433404 its reverse (40433421141201), we get a palindrome (50647533574605).

The spelling of 10214112433404 in words is "ten trillion, two hundred fourteen billion, one hundred twelve million, four hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 14177 28354 42531 56708 85062 155947 170124 269363 287269 311894 467841 538726 574538 623788 808089 861807 935682 1077452 1149076 1616178 1723614 1871364 2962993 3159959 3232356 3447228 5458111 5925986 6319918 8888979 9479877 10916222 11851972 12639836 16374333 17777958 18959754 21832444 32748666 35555916 37919508 60039221 65497332 120078442 180117663 240156884 360235326 720470652 4072612613 8145225226 12217837839 16290450452 24435675678 44798738743 48871351356 77379639647 89597477486 134396216229 154759279294 179194954972 232138918941 268792432458 309518558588 464277837882 537584864916 851176036117 928555675764 1702352072234 2553528108351 3404704144468 5107056216702 10214112433404