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145431306410170 = 25111724797335109
BaseRepresentation
bin100001000100010011011101…
…010110111001100010111010
3201001221002121210110110020011
4201010103131112321202322
5123030221303420111140
61233150115252452134
742430031230040134
oct4104233526714272
9631832553413204
10145431306410170
114238008609a460
121438968a31a04a
13631c162048951
1427cacac990054
1511c3006c89cea
hex8444dd5b98ba

145431306410170 has 96 divisors (see below), whose sum is σ = 309815319087360. Its totient is φ = 48714274851840.

The previous prime is 145431306410161. The next prime is 145431306410189. The reversal of 145431306410170 is 71014603134541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47173425 + ... + 50161684.

It is an arithmetic number, because the mean of its divisors is an integer number (3227242907160).

Almost surely, 2145431306410170 is an apocalyptic number.

145431306410170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145431306410170 is an abundant number, since it is smaller than the sum of its proper divisors (164384012677190).

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

145431306410170 is a wasteful number, since it uses less digits than its factorization.

145431306410170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97335208 (or 97335191 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 145431306410170 in words is "one hundred forty-five trillion, four hundred thirty-one billion, three hundred six million, four hundred ten thousand, one hundred seventy".

Divisors: 1 2 5 10 11 17 22 34 47 55 85 94 110 170 187 235 289 374 470 517 578 799 935 1034 1445 1598 1870 2585 2890 3179 3995 5170 6358 7990 8789 13583 15895 17578 27166 31790 43945 67915 87890 135830 149413 298826 747065 1494130 97335109 194670218 486675545 973351090 1070686199 1654696853 2141372398 3309393706 4574750123 5353430995 8273484265 9149500246 10706861990 16546968530 18201665383 22873750615 28129846501 36403330766 45747501230 50322251353 56259693002 77770752091 91008326915 100644502706 140649232505 155541504182 182016653830 251611256765 281298465010 309428311511 388853760455 503222513530 618856623022 777707520910 855478273001 1322102785547 1547141557555 1710956546002 2644205571094 3094283115110 4277391365005 6610513927735 8554782730010 13221027855470 14543130641017 29086261282034 72715653205085 145431306410170