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141322421040330 = 235235928312266581
BaseRepresentation
bin100000001000100000110000…
…101101000111010011001010
3200112101021212111201212001110
4200020200300231013103022
5122010411304241242310
61220322342435231150
741524131223462125
oct4010406055072312
9615337774655043
10141322421040330
1141036558455932
1213a25294a484b6
1360b18549571ba
1426c80824d73bc
1511511c19acd20
hex808830b474ca

141322421040330 has 128 divisors (see below), whose sum is σ = 361190978979840. Its totient is φ = 35311264116480.

The previous prime is 141322421040329. The next prime is 141322421040331. The reversal of 141322421040330 is 33040124223141.

It is an interprime number because it is at equal distance from previous prime (141322421040329) and next prime (141322421040331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (141322421040331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5387640 + ... + 17654220.

It is an arithmetic number, because the mean of its divisors is an integer number (2821804523280).

Almost surely, 2141322421040330 is an apocalyptic number.

141322421040330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141322421040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180595489489920).

141322421040330 is an abundant number, since it is smaller than the sum of its proper divisors (219868557939510).

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

141322421040330 is a wasteful number, since it uses less digits than its factorization.

141322421040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12266956.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 141322421040330 its reverse (33040124223141), we get a palindrome (174362545263471).

The spelling of 141322421040330 in words is "one hundred forty-one trillion, three hundred twenty-two billion, four hundred twenty-one million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 283 295 345 354 566 590 690 849 885 1357 1415 1698 1770 2714 2830 4071 4245 6509 6785 8142 8490 13018 13570 16697 19527 20355 32545 33394 39054 40710 50091 65090 83485 97635 100182 166970 195270 250455 384031 500910 768062 1152093 1920155 2304186 3840310 5760465 11520930 12266581 24533162 36799743 61332905 73599486 122665810 183998715 282131363 367997430 564262726 723728279 846394089 1410656815 1447456558 1692788178 2171184837 2821313630 3471442423 3618641395 4231970445 4342369674 6942884846 7237282790 8463940890 10414327269 10855924185 16645750417 17357212115 20828654538 21711848370 33291500834 34714424230 49937251251 52071636345 79843175729 83228752085 99874502502 104143272690 159686351458 166457504170 204815102957 239529527187 249686256255 399215878645 409630205914 479059054374 499372512510 614445308871 798431757290 1024075514785 1197647635935 1228890617742 2048151029570 2395295271870 3072226544355 4710747368011 6144453088710 9421494736022 14132242104033 23553736840055 28264484208066 47107473680110 70661210520165 141322421040330