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41342254400 = 265225838909
BaseRepresentation
bin100110100000001100…
…001011110101000000
310221201012202010101102
4212200030023311000
51134132104120100
630554203553532
72662333235636
oct464014136500
9127635663342
1041342254400
11165956966a7
12801952b8a8
133b8b193235
14200296b356
15111e771cd5
hex9a030bd40

41342254400 has 42 divisors (see below), whose sum is σ = 101727788670. Its totient is φ = 16536901120.

The previous prime is 41342254381. The next prime is 41342254439. The reversal of 41342254400 is 445224314.

It can be written as a sum of positive squares in 3 ways, for example, as 10236582976 + 31105671424 = 101176^2 + 176368^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12917855 + ... + 12921054.

Almost surely, 241342254400 is an apocalyptic number.

41342254400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41342254400 is an abundant number, since it is smaller than the sum of its proper divisors (60385534270).

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

41342254400 is a wasteful number, since it uses less digits than its factorization.

41342254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838931 (or 25838916 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 41342254400 its reverse (445224314), we get a palindrome (41787478714).

The spelling of 41342254400 in words is "forty-one billion, three hundred forty-two million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 25838909 51677818 103355636 129194545 206711272 258389090 413422544 516778180 645972725 826845088 1033556360 1291945450 1653690176 2067112720 2583890900 4134225440 5167781800 8268450880 10335563600 20671127200 41342254400