Search a number
-
+
31432200232224 = 2531152757564197
BaseRepresentation
bin1110010010110011000010…
…01000010001110100100000
311010021220000002002211112110
413021121201020101310200
513104441121224412344
6150503430424355320
76422621136452301
oct711314110216440
9133256002084473
1031432200232224
11a019359660410
123637930315b40
1314700751c146c
147a94802dc7a8
15397954cc83b9
hex1c9661211d20

31432200232224 has 96 divisors (see below), whose sum is σ = 90012257246016. Its totient is φ = 9524711736320.

The previous prime is 31432200232183. The next prime is 31432200232231. The reversal of 31432200232224 is 42223200223413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314322002322242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31432200232191 and 31432200232200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55429294 + ... + 55993490.

It is an arithmetic number, because the mean of its divisors is an integer number (937627679646).

Almost surely, 231432200232224 is an apocalyptic number.

It is an amenable number.

31432200232224 is an abundant number, since it is smaller than the sum of its proper divisors (58580057013792).

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

31432200232224 is a wasteful number, since it uses less digits than its factorization.

31432200232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616978 (or 616970 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31432200232224 its reverse (42223200223413), we get a palindrome (73655400455637).

The spelling of 31432200232224 in words is "thirty-one trillion, four hundred thirty-two billion, two hundred million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 52757 105514 158271 211028 316542 422056 564197 580327 633084 844112 1128394 1160654 1266168 1688224 1692591 1740981 2256788 2321308 2532336 3385182 3481962 4513576 4642616 5064672 6206167 6770364 6963924 9027152 9285232 12412334 13540728 13927848 18054304 18570464 18618501 24824668 27081456 27855696 37237002 49649336 54162912 55711392 74474004 99298672 148948008 198597344 297896016 595792032 29765341129 59530682258 89296023387 119061364516 178592046774 238122729032 327418752419 357184093548 476245458064 654837504838 714368187096 952490916128 982256257257 1309675009676 1428736374192 1964512514514 2619350019352 2857472748384 3929025029028 5238700038704 7858050058056 10477400077408 15716100116112 31432200232224