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40141400132000 = 255310035350033
BaseRepresentation
bin10010010000010001001011…
…11001010100100110100000
312021010110222012012222002102
421020020211321110212200
520230134041413211000
6221212412111505532
711312056213245356
oct1110104571244640
9167113865188072
1040141400132000
11118769659880a2
1246038098282a8
13195241925331b
149cabd5a517d6
1549928380c3d5
hex248225e549a0

40141400132000 has 48 divisors (see below), whose sum is σ = 98627420134152. Its totient is φ = 16056560051200.

The previous prime is 40141400131993. The next prime is 40141400132039. The reversal of 40141400132000 is 23100414104.

It can be written as a sum of positive squares in 4 ways, for example, as 10974617337616 + 29166782794384 = 3312796^2 + 5400628^2 .

It is a super-2 number, since 2×401414001320002 (a number of 28 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5017671017 + ... + 5017679016.

Almost surely, 240141400132000 is an apocalyptic number.

40141400132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40141400132000 is an abundant number, since it is smaller than the sum of its proper divisors (58486020002152).

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

40141400132000 is a wasteful number, since it uses less digits than its factorization.

40141400132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035350058 (or 10035350040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40141400132000 its reverse (23100414104), we get a palindrome (40164500546104).

The spelling of 40141400132000 in words is "forty trillion, one hundred forty-one billion, four hundred million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10035350033 20070700066 40141400132 50176750165 80282800264 100353500330 160565600528 200707000660 250883750825 321131201056 401414001320 501767501650 802828002640 1003535003300 1254418754125 1605656005280 2007070006600 2508837508250 4014140013200 5017675016500 8028280026400 10035350033000 20070700066000 40141400132000