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40173299199000 = 2332531117831392069
BaseRepresentation
bin10010010001001100100110…
…01110100110110000011000
312021020112022021221110122100
421020212103032212300120
520231144404043332000
6221235205303323400
711314265542656612
oct1110462316466030
9167215267843570
1040173299199000
111188944509a290
124609a30750560
131955430bb33b6
149cc58039ddb2
15499eee00ca00
hex2489933a6c18

40173299199000 has 1536 divisors, whose sum is σ = 159952351104000. Its totient is φ = 8986171392000.

The previous prime is 40173299198891. The next prime is 40173299199001. The reversal of 40173299199000 is 99199237104.

It is a happy number.

It is a super-2 number, since 2×401732991990002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40173299199001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19416769966 + ... + 19416772034.

It is an arithmetic number, because the mean of its divisors is an integer number (104135645250).

Almost surely, 240173299199000 is an apocalyptic number.

40173299199000 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 40173299199000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79976175552000).

40173299199000 is an abundant number, since it is smaller than the sum of its proper divisors (119779051905000).

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

40173299199000 is a wasteful number, since it uses less digits than its factorization.

40173299199000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 40173299199000 in words is "forty trillion, one hundred seventy-three billion, two hundred ninety-nine million, one hundred ninety-nine thousand".