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41419419400 = 2352472943793
BaseRepresentation
bin100110100100110010…
…100010111100001000
310221220120221111212101
4212210302202330020
51134311332410100
631010001523144
72664261153532
oct464462427410
9127816844771
1041419419400
1116625200927
12803b3434b4
133ba11700b8
14200ccd6852
15112641586a
hex9a4ca2f08

41419419400 has 48 divisors (see below), whose sum is σ = 96322713300. Its totient is φ = 16563886080.

The previous prime is 41419419343. The next prime is 41419419403. The reversal of 41419419400 is 491491414.

It can be written as a sum of positive squares in 6 ways, for example, as 13414735684 + 28004683716 = 115822^2 + 167346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41419419400.

It is not an unprimeable number, because it can be changed into a prime (41419419403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923904 + ... + 967696.

Almost surely, 241419419400 is an apocalyptic number.

41419419400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41419419400 is an abundant number, since it is smaller than the sum of its proper divisors (54903293900).

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

41419419400 is a wasteful number, since it uses less digits than its factorization.

41419419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48538 (or 48529 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 41419419400 in words is "forty-one billion, four hundred nineteen million, four hundred nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4729 9458 18916 23645 37832 43793 47290 87586 94580 118225 175172 189160 218965 236450 350344 437930 472900 875860 945800 1094825 1751720 2189650 4379300 8758600 207097097 414194194 828388388 1035485485 1656776776 2070970970 4141941940 5177427425 8283883880 10354854850 20709709700 41419419400