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41031620364100 = 225217187712858949
BaseRepresentation
bin10010101010001011010110…
…01010000000011101000100
312101021120210011122100211211
421111011223022000131010
520334230224303122400
6223133355520541204
711433302542335142
oct1125055312003504
9171246704570754
1041031620364100
111208a45a004583
124728252781804
1319b835a841202
14a1bd26242592
154b24d747edba
hex25516b280744

41031620364100 has 72 divisors (see below), whose sum is σ = 94326416238600. Its totient is φ = 15438967326720.

The previous prime is 41031620364073. The next prime is 41031620364101. The reversal of 41031620364100 is 146302613014.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 89052109056 + 40942568255044 = 298416^2 + 6398638^2 .

It is not an unprimeable number, because it can be changed into a prime (41031620364101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3238575 + ... + 9620374.

It is an arithmetic number, because the mean of its divisors is an integer number (1310089114425).

Almost surely, 241031620364100 is an apocalyptic number.

It is an amenable number.

41031620364100 is an abundant number, since it is smaller than the sum of its proper divisors (53294795874500).

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

41031620364100 is a wasteful number, since it uses less digits than its factorization.

41031620364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860857 (or 12860850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 41031620364100 its reverse (146302613014), we get a palindrome (41177922977114).

The spelling of 41031620364100 in words is "forty-one trillion, thirty-one billion, six hundred twenty million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1877 3754 7508 9385 18770 31909 37540 46925 63818 93850 127636 159545 187700 319090 638180 797725 1595450 3190900 12858949 25717898 51435796 64294745 128589490 218602133 257178980 321473725 437204266 642947450 874408532 1093010665 1285894900 2186021330 4372042660 5465053325 10930106650 21860213300 24136247273 48272494546 96544989092 120681236365 241362472730 410316203641 482724945460 603406181825 820632407282 1206812363650 1641264814564 2051581018205 2413624727300 4103162036410 8206324072820 10257905091025 20515810182050 41031620364100