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141122104400440 = 235167443269917669
BaseRepresentation
bin100000000101100110001100…
…111001110001101000111000
3200111200010211002122012021201
4200011212030321301220320
5121444121032211303230
61220050333314343544
741503510206232552
oct4005461471615070
9614603732565251
10141122104400440
1140a69603985479
12139b24ab28abb4
1360989acb62357
1426bc4bc3504d2
15114ad9a83e5ca
hex80598ce71a38

141122104400440 has 128 divisors (see below), whose sum is σ = 320283875520000. Its totient is φ = 55960253859328.

The previous prime is 141122104400401. The next prime is 141122104400477. The reversal of 141122104400440 is 44004401221141.

It is a junction number, because it is equal to n+sod(n) for n = 141122104400399 and 141122104400408.

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, 7986979926 + ... + 7986997594.

It is an arithmetic number, because the mean of its divisors is an integer number (2502217777500).

Almost surely, 2141122104400440 is an apocalyptic number.

141122104400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122104400440 is an abundant number, since it is smaller than the sum of its proper divisors (179161771119560).

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

141122104400440 is a wasteful number, since it uses less digits than its factorization.

141122104400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20989 (or 20985 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 141122104400440 its reverse (44004401221141), we get a palindrome (185126505621581).

The spelling of 141122104400440 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred four million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 167 334 443 668 835 886 1336 1670 1772 2215 2699 3340 3544 4430 5398 6680 8860 10796 13495 17669 17720 21592 26990 35338 53980 70676 73981 88345 107960 141352 147962 176690 295924 353380 369905 450733 591848 706760 739810 901466 1195657 1479620 1802932 2253665 2391314 2950723 2959240 3605864 4507330 4782628 5901446 5978285 7827367 9014660 9565256 11802892 11956570 14753615 15654734 18029320 23605784 23913140 29507230 31309468 39136835 47688631 47826280 59014460 62618936 78273670 95377262 118028920 156547340 190754524 199674719 238443155 313094680 381509048 399349438 476886310 798698876 953772620 998373595 1307170289 1597397752 1907545240 1996747190 2614340578 3993494380 5228681156 6535851445 7964001377 7986988760 10457362312 13071702890 15928002754 21126063533 26143405780 31856005508 39820006885 42252127066 52286811560 63712011016 79640013770 84504254132 105630317665 159280027540 169008508264 211260635330 318560055080 422521270660 845042541320 3528052610011 7056105220022 14112210440044 17640263050055 28224420880088 35280526100110 70561052200220 141122104400440