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4241346031000 = 23531317181106031
BaseRepresentation
bin111101101110000011111…
…011000110110110011000
3120000110122200211101100001
4331232003323012312120
51023442234040443000
613004240353022344
7615266336265421
oct75560373066630
916013580741301
104241346031000
111395821298921
125860022549b4
13249c5a000ac0
141093d4692648
15754d919a46a
hex3db83ec6d98

4241346031000 has 256 divisors, whose sum is σ = 11379540856320. Its totient is φ = 1465758720000.

The previous prime is 4241346030907. The next prime is 4241346031001. The reversal of 4241346031000 is 1306431424.

It is a super-2 number, since 2×42413460310002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4241346031000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241346031001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39947985 + ... + 40054015.

It is an arithmetic number, because the mean of its divisors is an integer number (44451331470).

Almost surely, 24241346031000 is an apocalyptic number.

4241346031000 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 4241346031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689770428160).

4241346031000 is an abundant number, since it is smaller than the sum of its proper divisors (7138194825320).

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

4241346031000 is a wasteful number, since it uses less digits than its factorization.

4241346031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106263 (or 106249 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 4241346031000 in words is "four trillion, two hundred forty-one billion, three hundred forty-six million, thirty-one thousand".