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41125444400 = 24522318124697
BaseRepresentation
bin100110010011010001…
…000111101100110000
310221011002210000222102
4212103101013230300
51133211103210100
630520500555532
72654061336545
oct462321075460
9127132700872
1041125444400
1116494272087
127b789b2ba8
133b552a17b1
141dc1c50bcc
15110a6e6cd5
hex993447b30

41125444400 has 120 divisors (see below), whose sum is σ = 103673510304. Its totient is φ = 15647385600.

The previous prime is 41125444391. The next prime is 41125444411. The reversal of 41125444400 is 444452114.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652852 + ... + 1677548.

Almost surely, 241125444400 is an apocalyptic number.

41125444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41125444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51836755152).

41125444400 is an abundant number, since it is smaller than the sum of its proper divisors (62548065904).

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

41125444400 is a wasteful number, since it uses less digits than its factorization.

41125444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24919 (or 24908 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 41125444400 its reverse (444452114), we get a palindrome (41569896514).

The spelling of 41125444400 in words is "forty-one billion, one hundred twenty-five million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 181 184 200 230 362 368 400 460 575 724 905 920 1150 1448 1810 1840 2300 2896 3620 4163 4525 4600 7240 8326 9050 9200 14480 16652 18100 20815 24697 33304 36200 41630 49394 66608 72400 83260 98788 104075 123485 166520 197576 208150 246970 333040 395152 416300 493940 568031 617425 832600 987880 1136062 1234850 1665200 1975760 2272124 2469700 2840155 4470157 4544248 4939400 5680310 8940314 9088496 9878800 11360620 14200775 17880628 22350785 22721240 28401550 35761256 44701570 45442480 56803100 71522512 89403140 102813611 111753925 113606200 178806280 205627222 223507850 227212400 357612560 411254444 447015700 514068055 822508888 894031400 1028136110 1645017776 1788062800 2056272220 2570340275 4112544440 5140680550 8225088880 10281361100 20562722200 41125444400