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131000343144444 = 2232157271112376159
BaseRepresentation
bin11101110010010011100100…
…111010110010011111111100
3122011211111210011010020221100
4131302103210322302133330
5114132302200321110234
61142340420555133100
736410314424142564
oct3562234472623774
9564744704106840
10131000343144444
1138816a2a595674
12128388b1a44190
135813382976677
14244c644009da4
151022945ee2399
hex7724e4eb27fc

131000343144444 has 144 divisors (see below), whose sum is σ = 334780867133440. Its totient is φ = 43189482061440.

The previous prime is 131000343144409. The next prime is 131000343144467. The reversal of 131000343144444 is 444441343000131.

131000343144444 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 0 + 3 + 43 + 144 + 444 = 666.

It is a super-2 number, since 2×1310003431444442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131000343144399 and 131000343144408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720052037 + ... + 1720128195.

Almost surely, 2131000343144444 is an apocalyptic number.

It is an amenable number.

131000343144444 is an abundant number, since it is smaller than the sum of its proper divisors (203780523988996).

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

131000343144444 is a wasteful number, since it uses less digits than its factorization.

131000343144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77720 (or 77715 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131000343144444 its reverse (444441343000131), we get a palindrome (575441686144575).

The spelling of 131000343144444 in words is "one hundred thirty-one trillion, three hundred forty-three million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 271 314 471 542 628 813 942 1084 1123 1413 1626 1884 2246 2439 2826 3252 3369 4492 4878 5652 6738 9756 10107 13476 20214 40428 42547 76159 85094 127641 152318 170188 176311 228477 255282 304333 304636 352622 382923 456954 510564 528933 608666 685431 705244 765846 912999 913908 1057866 1217332 1370862 1531692 1586799 1825998 2115732 2738997 2741724 3173598 3651996 5477994 6347196 10955988 11956963 20639089 23913926 35870889 41278178 47780281 47827852 61917267 71741778 82556356 85526557 95560562 107612667 123834534 143340843 143483556 171053114 185751801 191121124 215225334 247669068 256579671 286681686 342106228 371503602 430022529 430450668 513159342 573363372 743007204 769739013 860045058 1026318684 1539478026 1720090116 3078956052 3240336973 6480673946 9721010919 12961347892 13427669449 19442021838 23177696947 26855338898 29163032757 38884043676 40283008347 46355393894 53710677796 58326065514 69533090841 80566016694 92710787788 116652131028 120849025041 139066181682 161132033388 208599272523 241698050082 278132363364 417198545046 483396100164 834397090092 3638898420679 7277796841358 10916695262037 14555593682716 21833390524074 32750085786111 43666781048148 65500171572222 131000343144444