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41998246440192 = 283472193170177
BaseRepresentation
bin10011000110010011110101…
…00011110110110100000000
312111200222211000010210110000
421203021322203312310000
521001044402042041232
6225153421132240000
711563162461404400
oct1143117243666400
9174628730123400
1041998246440192
11124223a1250479
12486365b910000
131a5855774ba83
14a52a24100800
154cc70dcb627c
hex26327a8f6d00

41998246440192 has 1080 divisors, whose sum is σ = 158293137488640. Its totient is φ = 11001081692160.

The previous prime is 41998246440167. The next prime is 41998246440203. The reversal of 41998246440192 is 29104464289914.

41998246440192 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 82 + 4 + 64 + 401 + 92 = 666.

It is a super-2 number, since 2×419982464401922 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 598426608 + ... + 598496784.

Almost surely, 241998246440192 is an apocalyptic number.

41998246440192 is a gapful number since it is divisible by the number (42) 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 41998246440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79146568744320).

41998246440192 is an abundant number, since it is smaller than the sum of its proper divisors (116294891048448).

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

41998246440192 is a wasteful number, since it uses less digits than its factorization.

41998246440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70269 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 41998246440192 in words is "forty-one trillion, nine hundred ninety-eight billion, two hundred forty-six million, four hundred forty thousand, one hundred ninety-two".