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10143412400004 = 223132431097106033
BaseRepresentation
bin1001001110011011001001…
…1111100010111110000100
31022220200220211222000100220
42103212302133202332010
52312142202033300004
633323452550304340
72064560133544542
oct223466237427604
938820824860326
1010143412400004
113260884952854
121179a403580b0
1358769a995400
14270d2da34d92
15128cc051add9
hex939b27e2f84

10143412400004 has 144 divisors (see below), whose sum is σ = 26248789651392. Its totient is φ = 3045659774976.

The previous prime is 10143412399993. The next prime is 10143412400021. The reversal of 10143412400004 is 40000421434101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95609772 + ... + 95715804.

It is an arithmetic number, because the mean of its divisors is an integer number (182283261468).

Almost surely, 210143412400004 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 10143412400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124394825696).

10143412400004 is an abundant number, since it is smaller than the sum of its proper divisors (16105377251388).

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

10143412400004 is a wasteful number, since it uses less digits than its factorization.

10143412400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107206 (or 107191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10143412400004 its reverse (40000421434101), we get a palindrome (50143833834105).

The spelling of 10143412400004 in words is "ten trillion, one hundred forty-three billion, four hundred twelve million, four hundred thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 169 172 258 338 507 516 559 676 1014 1097 1118 1677 2028 2194 2236 3291 3354 4388 6582 6708 7267 13164 14261 14534 21801 28522 29068 42783 43602 47171 57044 85566 87204 94342 106033 141513 171132 185393 188684 212066 283026 318099 370786 424132 556179 566052 613223 636198 741572 1112358 1226446 1272396 1378429 1839669 2224716 2452892 2756858 3679338 4135287 4559419 5513716 7358676 7971899 8270574 9118838 13678257 15943798 16541148 17919577 18237676 23915697 27356514 31887596 35839154 47831394 53758731 54713028 59272447 71678308 95662788 107517462 116318201 118544894 177817341 215034924 232636402 237089788 348954603 355634682 465272804 697909206 711269364 770541811 1395818412 1512136613 1541083622 2311625433 3024273226 3082167244 4536409839 4623250866 5001682643 6048546452 9072819678 9246501732 10003365286 15005047929 18145639356 19657775969 20006730572 30010095858 39315551938 58973327907 60020191716 65021874359 78631103876 117946655814 130043748718 195065623077 235893311628 260087497436 390131246154 780262492308 845284366667 1690568733334 2535853100001 3381137466668 5071706200002 10143412400004