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146803041529130 = 25727931312116231
BaseRepresentation
bin100001011000010000111111…
…001001000110110100101010
3201020210020022101002112002002
4201120100333021012310222
5123220210112112413010
61240120215233011002
742631112136132200
oct4130207711066452
9636706271075062
10146803041529130
1142859902883228
121456b4b56b3a62
1363bb60cbb1c2c
14283743b379070
1511e8a3d7b01a5
hex85843f246d2a

146803041529130 has 96 divisors (see below), whose sum is σ = 312273101283840. Its totient is φ = 49536576311040.

The previous prime is 146803041529129. The next prime is 146803041529211. The reversal of 146803041529130 is 31925140308641.

It is a happy number.

It is a super-2 number, since 2×1468030415291302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6058115 + ... + 18174345.

It is an arithmetic number, because the mean of its divisors is an integer number (3252844805040).

Almost surely, 2146803041529130 is an apocalyptic number.

146803041529130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12116230×12116231.

146803041529130 is an abundant number, since it is smaller than the sum of its proper divisors (165470059754710).

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

146803041529130 is a wasteful number, since it uses less digits than its factorization.

146803041529130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12116644 (or 12116637 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 146803041529130 in words is "one hundred forty-six trillion, eight hundred three billion, forty-one million, five hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 79 98 158 245 313 395 490 553 626 790 1106 1565 2191 2765 3130 3871 4382 5530 7742 10955 15337 19355 21910 24727 30674 38710 49454 76685 123635 153370 173089 247270 346178 865445 1211623 1730890 2423246 6058115 12116230 12116231 24232462 60581155 84813617 121162310 169627234 424068085 593695319 848136170 957182249 1187390638 1914364498 2968476595 3792380303 4785911245 5936953190 6700275743 7584760606 9571822490 13400551486 18961901515 26546662121 33501378715 37923803030 46901930201 53093324242 67002757430 93803860402 132733310605 185826634847 234509651005 265466621210 299598043937 371653269694 469019302010 599196087874 929133174235 1497990219685 1858266348470 2097186307559 2995980439370 4194372615118 10485931537795 14680304152913 20971863075590 29360608305826 73401520764565 146803041529130