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144321334414020 = 2232547121071409041
BaseRepresentation
bin100000110100001001101101…
…110111110000101011000100
3200220222222120221022210102200
4200310021231313300223010
5122404030043102222040
61230540150012434500
742253605130533411
oct4064115567605304
9626888527283380
10144321334414020
1141a92374911135
121422a536a78a30
13626b59c30974a
14278d292d73108
1511a41e0b0d630
hex83426ddf0ac4

144321334414020 has 144 divisors (see below), whose sum is σ = 447126315487488. Its totient is φ = 37663706833920.

The previous prime is 144321334414007. The next prime is 144321334414141. The reversal of 144321334414020 is 20414433123441.

144321334414020 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 213 + 3 + 4 + 414 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 101720700 + ... + 103129740.

It is an arithmetic number, because the mean of its divisors is an integer number (3105043857552).

Almost surely, 2144321334414020 is an apocalyptic number.

144321334414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144321334414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223563157743744).

144321334414020 is an abundant number, since it is smaller than the sum of its proper divisors (302804981073468).

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

144321334414020 is a wasteful number, since it uses less digits than its factorization.

144321334414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421210 (or 1421205 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144321334414020 its reverse (20414433123441), we get a palindrome (164735767537461).

The spelling of 144321334414020 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred thirty-four million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 12107 24214 36321 48428 60535 72642 108963 121070 145284 181605 217926 242140 363210 435852 544815 569029 726420 1089630 1138058 1409041 1707087 2179260 2276116 2818082 2845145 3414174 4227123 5121261 5636164 5690290 6828348 7045205 8454246 8535435 10242522 11380580 12681369 14090410 16908492 17070870 20485044 21135615 25362738 25606305 28180820 34141740 42271230 50725476 51212610 63406845 66224927 84542460 102425220 126813690 132449854 198674781 253627380 264899708 331124635 397349562 596024343 662249270 794699124 993373905 1192048686 1324498540 1986747810 2384097372 2980121715 3973495620 5960243430 11920486860 17059259387 34118518774 51177778161 68237037548 85296296935 102355556322 153533334483 170592593870 204711112644 255888890805 307066668966 341185187740 511777781610 614133337932 767666672415 801785191189 1023555563220 1535333344830 1603570382378 2405355573567 3070666689660 3207140764756 4008925955945 4810711147134 7216066720701 8017851911890 9621422294268 12026777867835 14432133441402 16035703823780 24053555735670 28864266882804 36080333603505 48107111471340 72160667207010 144321334414020