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132114411002424 = 233731094391575887
BaseRepresentation
bin11110000010100001001000…
…100010011001101000111000
3122022210000101110100020220010
4132002201020202121220320
5114304030303204034144
61144552304511501520
736553644156531414
oct3602411042315070
9568700343306803
10132114411002424
1139106452882574
12129987a8b278a0
13589444912c356
14248a52b9b1d44
1510418eba2c5b9
hex782848899a38

132114411002424 has 128 divisors (see below), whose sum is σ = 338652027648000. Its totient is φ = 42938329734144.

The previous prime is 132114411002401. The next prime is 132114411002467. The reversal of 132114411002424 is 424200114411231.

It is a junction number, because it is equal to n+sod(n) for n = 132114411002391 and 132114411002400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83047009 + ... + 84622895.

It is an arithmetic number, because the mean of its divisors is an integer number (2645718966000).

Almost surely, 2132114411002424 is an apocalyptic number.

It is an amenable number.

132114411002424 is an abundant number, since it is smaller than the sum of its proper divisors (206537616645576).

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

132114411002424 is a wasteful number, since it uses less digits than its factorization.

132114411002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576517 (or 1576513 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 132114411002424 its reverse (424200114411231), we get a palindrome (556314525413655).

The spelling of 132114411002424 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred eleven million, two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 109 146 218 219 292 327 436 438 439 584 654 872 876 878 1308 1317 1752 1756 2616 2634 3512 5268 7957 10536 15914 23871 31828 32047 47742 47851 63656 64094 95484 95702 96141 128188 143553 190968 191404 192282 256376 287106 382808 384564 574212 769128 1148424 1575887 3151774 3493123 4727661 6303548 6986246 9455322 10479369 12607096 13972492 18910644 20958738 27944984 37821288 41917476 83834952 115039751 171771683 230079502 343543366 345119253 460159004 515315049 687086732 690238506 691814393 920318008 1030630098 1374173464 1380477012 1383628786 2061260196 2075443179 2760954024 2767257572 4122520392 4150886358 5534515144 8301772716 12539332859 16603545432 25078665718 37617998577 50157331436 50502450689 75235997154 75407768837 100314662872 101004901378 150471994308 150815537674 151507352067 202009802756 226223306511 300943988616 301631075348 303014704134 404019605512 452446613022 603262150696 606029408268 904893226044 1212058816536 1809786452088 5504767125101 11009534250202 16514301375303 22019068500404 33028602750606 44038137000808 66057205501212 132114411002424