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41151103400 = 235211119315679
BaseRepresentation
bin100110010100110011…
…000000000110101000
310221012220001122111202
4212110303000012220
51133234140302100
630523214543332
72654522415251
oct462463000650
9127186048452
1041151103400
11164a77a8070
127b85507b48
133b5a6b6934
141dc540db28
15110cab47d5
hex994cc01a8

41151103400 has 96 divisors (see below), whose sum is σ = 104468313600. Its totient is φ = 14950540800.

The previous prime is 41151103381. The next prime is 41151103417. The reversal of 41151103400 is 430115114.

It is a happy number.

It is a super-2 number, since 2×411511034002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2616761 + ... + 2632439.

It is an arithmetic number, because the mean of its divisors is an integer number (1088211600).

Almost surely, 241151103400 is an apocalyptic number.

41151103400 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 41151103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52234156800).

41151103400 is an abundant number, since it is smaller than the sum of its proper divisors (63317210200).

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

41151103400 is a wasteful number, since it uses less digits than its factorization.

41151103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16890 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 41151103400 its reverse (430115114), we get a palindrome (41581218514).

The spelling of 41151103400 in words is "forty-one billion, one hundred fifty-one million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1193 2200 2386 4772 5965 9544 11930 13123 15679 23860 26246 29825 31358 47720 52492 59650 62716 65615 78395 104984 119300 125432 131230 156790 172469 238600 262460 313580 328075 344938 391975 524920 627160 656150 689876 783950 862345 1312300 1379752 1567900 1724690 2624600 3135800 3449380 4311725 6898760 8623450 17246900 18705047 34493800 37410094 74820188 93525235 149640376 187050470 205755517 374100940 411511034 467626175 748201880 823022068 935252350 1028777585 1646044136 1870504700 2057555170 3741009400 4115110340 5143887925 8230220680 10287775850 20575551700 41151103400