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202430100444000 = 253531113971216147
BaseRepresentation
bin101110000001101111101110…
…001110101001001101100000
3222112202010110202100021011120
4232001233232032221031200
5203013103321203202000
61554311034311412240
760432043412264232
oct5601575616511540
9875663422307146
10202430100444000
115955613a3a4630
121a854387084080
1388c50cc2942a0
1437db95218a252
151860a112d06a0
hexb81bee3a9360

202430100444000 has 768 divisors, whose sum is σ = 787130836337664. Its totient is φ = 44832006144000.

The previous prime is 202430100443953. The next prime is 202430100444001. The reversal of 202430100444000 is 444001034202.

It is a happy number.

202430100444000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202430100444001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165843927 + ... + 167060073.

It is an arithmetic number, because the mean of its divisors is an integer number (1024909943148).

Almost surely, 2202430100444000 is an apocalyptic number.

202430100444000 is a gapful number since it is divisible by the number (20) 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 202430100444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393565418168832).

202430100444000 is an abundant number, since it is smaller than the sum of its proper divisors (584700735893664).

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

202430100444000 is a wasteful number, since it uses less digits than its factorization.

202430100444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216296 (or 1216278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202430100444000 its reverse (444001034202), we get a palindrome (202874101478202).

The spelling of 202430100444000 in words is "two hundred two trillion, four hundred thirty billion, one hundred million, four hundred forty-four thousand".