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141132002114004 = 2231131136125341467
BaseRepresentation
bin100000000101101111011010…
…110110100011100111010100
3200111201002100212221010210120
4200011233122312203213110
5121444301320020122004
61220055051404551540
741504310402350406
oct4005573266434724
9614632325833716
10141132002114004
1140a72822987140
12139b43b1b525b0
1360998c95b83b5
1426bcb7aa88b76
15114b2797453d9
hex805bdada39d4

141132002114004 has 96 divisors (see below), whose sum is σ = 371106133880832. Its totient is φ = 41357272512000.

The previous prime is 141132002114003. The next prime is 141132002114017. The reversal of 141132002114004 is 400411200231141.

It is a happy number.

141132002114004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411320021140043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132002114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101522 + ... + 18239945.

It is an arithmetic number, because the mean of its divisors is an integer number (3865688894592).

Almost surely, 2141132002114004 is an apocalyptic number.

It is an amenable number.

141132002114004 is an abundant number, since it is smaller than the sum of its proper divisors (229974131766828).

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

141132002114004 is a wasteful number, since it uses less digits than its factorization.

141132002114004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25342877 (or 25342875 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 141132002114004 its reverse (400411200231141), we get a palindrome (541543202345145).

The spelling of 141132002114004 in words is "one hundred forty-one trillion, one hundred thirty-two billion, two million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1361 1364 2046 2722 4083 4092 5444 8166 14971 16332 29942 42191 44913 59884 84382 89826 126573 168764 179652 253146 464101 506292 928202 1392303 1856404 2784606 5569212 25341467 50682934 76024401 101365868 152048802 278756137 304097604 557512274 785585477 836268411 1115024548 1571170954 1672536822 2356756431 3142341908 3345073644 4713512862 8641440247 9427025724 17282880494 25924320741 34489736587 34565760988 51848641482 68979473174 103469209761 103697282964 137958946348 206938419522 379387102457 413876839044 758774204914 1069181834197 1138161307371 1517548409828 2138363668394 2276322614742 3207545502591 4276727336788 4552645229484 6415091005182 11761000176167 12830182010364 23522000352334 35283000528501 47044000704668 70566001057002 141132002114004