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202412140000 = 255472206543
BaseRepresentation
bin1011110010000010110…
…1000010010111100000
3201100110110011002111221
42330200231002113200
511304020001440000
6232553054344424
720423650542100
oct2744055022740
9640413132457
10202412140000
117892a415734
123328b4bb114
1316119c98755
149b225c1200
1553ea0e761a
hex2f20b425e0

202412140000 has 180 divisors, whose sum is σ = 579267312624. Its totient is φ = 69398112000.

The previous prime is 202412139997. The next prime is 202412140027. The reversal of 202412140000 is 41214202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 876729 + ... + 1083271.

Almost surely, 2202412140000 is an apocalyptic number.

202412140000 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 202412140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289633656312).

202412140000 is an abundant number, since it is smaller than the sum of its proper divisors (376855172624).

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

202412140000 is an equidigital number, since it uses as much as digits as its factorization.

202412140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206587 (or 206557 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202412140000 its reverse (41214202), we get a palindrome (202453354202).

The spelling of 202412140000 in words is "two hundred two billion, four hundred twelve million, one hundred forty thousand".