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31220431541404 = 22729312729454483
BaseRepresentation
bin1110001100101000100101…
…01110110101010010011100
311002112122101112221201020021
413012110102232311102130
513043003420433311104
6150222245050401524
76401413253336320
oct706242256652234
9132478345851207
1031220431541404
119a47568765656
12360288b4302a4
1314560c6937911
1479d111211980
153921ad574754
hex1c6512bb549c

31220431541404 has 96 divisors (see below), whose sum is σ = 66702253363200. Its totient is φ = 12497455111680.

The previous prime is 31220431541389. The next prime is 31220431541557. The reversal of 31220431541404 is 40414513402213.

It is a self number, because there is not a number n which added to its sum of digits gives 31220431541404.

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, 68467147 + ... + 68921629.

It is an arithmetic number, because the mean of its divisors is an integer number (694815139200).

Almost surely, 231220431541404 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 31220431541404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33351126681600).

31220431541404 is an abundant number, since it is smaller than the sum of its proper divisors (35481821821796).

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

31220431541404 is a wasteful number, since it uses less digits than its factorization.

31220431541404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457283 (or 457281 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 31220431541404 its reverse (40414513402213), we get a palindrome (71634944943617).

The spelling of 31220431541404 in words is "thirty-one trillion, two hundred twenty billion, four hundred thirty-one million, five hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 2729 3596 5458 6293 10916 12586 19103 25172 38206 76412 79141 84599 158282 169198 316564 338396 454483 553987 592193 908966 1107974 1184386 1817932 2215948 2368772 2453371 3181381 4906742 6362762 9813484 12725524 13180007 14088973 17173597 26360014 28177946 34347194 52720028 56355892 68694388 92260049 98622811 184520098 197245622 369040196 394491244 408580217 817160434 1240284107 1634320868 2480568214 2860061519 4961136428 5720123038 8681988749 11440246076 17363977498 34727954996 35968239103 38448807317 71936478206 76897614634 143872956412 153795229268 251777673721 269141651219 503555347442 538283302438 1007110694884 1076566604876 1115015412193 2230030824386 4460061648772 7805107885351 15610215770702 31220431541404