Search a number
-
+
141042123403412 = 2271138927973797
BaseRepresentation
bin100000000100011011101101…
…101010011111000010010100
3200111101111101002021120110112
4200010123231222133002110
5121441313232042402122
61215545505040142152
741464646205045320
oct4004335552370224
9614344332246415
10141042123403412
1140a386a0778630
121399aaa9907958
1360912a4951bca
1426b8691d20980
151148c68d762e2
hex8046eda9f094

141042123403412 has 144 divisors (see below), whose sum is σ = 308989837392768. Its totient is φ = 54727025533440.

The previous prime is 141042123403267. The next prime is 141042123403417. The reversal of 141042123403412 is 214304321240141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141042123403417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37145671898 + ... + 37145675694.

It is an arithmetic number, because the mean of its divisors is an integer number (2145762759672).

Almost surely, 2141042123403412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141042123403412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154494918696384).

141042123403412 is an abundant number, since it is smaller than the sum of its proper divisors (167947713989356).

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

141042123403412 is a wasteful number, since it uses less digits than its factorization.

141042123403412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 141042123403412 its reverse (214304321240141), we get a palindrome (355346444643553).

The spelling of 141042123403412 in words is "one hundred forty-one trillion, forty-two billion, one hundred twenty-three million, four hundred three thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 389 778 797 1556 1594 2723 3188 3797 4279 5446 5579 7594 8558 8767 10892 11158 15188 17116 17534 22316 26579 29953 35068 41767 53158 59906 61369 83534 106316 119812 122738 151321 167068 245476 292369 302642 310033 584738 605284 620066 1059247 1169476 1240132 1477033 1664531 2118494 2170231 2954066 3026209 3329062 3410363 4236988 4340462 5908132 6052418 6658124 6820726 8680924 10339231 11651717 12104836 13641452 16247363 20678462 21183463 23303434 23872541 32494726 33288299 41356924 42366926 46606868 47745082 64989452 66576598 84733852 95490164 113731541 120602837 133153196 227463082 233018093 241205674 454926164 466036186 482411348 574565837 844219859 932072372 1149131674 1177195301 1326631207 1688439718 2298263348 2354390602 2653262414 3376879436 4021960859 4708781204 5306524828 6320224207 8043921718 8240367107 9286418449 12640448414 12949148311 16087843436 16480734214 18572836898 25280896828 25898296622 32961468428 37145673796 44241569449 51796593244 88483138898 90644038177 176966277796 181288076354 362576152708 457928972089 915857944178 1831715888356 3205502804623 5037218692979 6411005609246 10074437385958 12822011218492 20148874771916 35260530850853 70521061701706 141042123403412