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40554100100 = 22521753450101
BaseRepresentation
bin100101110001001101…
…100111010110000100
310212200021200201221102
4211301031213112010
51131023322200400
630344051035232
72633653106663
oct456115472604
9125607621842
1040554100100
1116220806708
127a3959bb18
133a93aca047
141d6a006dda
1510c54899d5
hex971367584

40554100100 has 72 divisors (see below), whose sum is σ = 94937314248. Its totient is φ = 14979328000.

The previous prime is 40554100091. The next prime is 40554100127. The reversal of 40554100100 is 100145504.

It can be written as a sum of positive squares in 12 ways, for example, as 745071616 + 39809028484 = 27296^2 + 199522^2 .

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134951 + ... + 315150.

It is an arithmetic number, because the mean of its divisors is an integer number (1318573809).

Almost surely, 240554100100 is an apocalyptic number.

It is an amenable number.

40554100100 is an abundant number, since it is smaller than the sum of its proper divisors (54383214148).

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

40554100100 is a wasteful number, since it uses less digits than its factorization.

40554100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450185 (or 450178 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 40554100100 its reverse (100145504), we get a palindrome (40654245604).

The spelling of 40554100100 in words is "forty billion, five hundred fifty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 45050 90100 450101 900202 1800404 2250505 4501010 7651717 9002020 11252525 15303434 22505050 23855353 30606868 38258585 45010100 47710706 76517170 95421412 119276765 153034340 191292925 238553530 382585850 405541001 477107060 596383825 765171700 811082002 1192767650 1622164004 2027705005 2385535300 4055410010 8110820020 10138525025 20277050050 40554100100