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41454540400 = 24527132235107
BaseRepresentation
bin100110100110111000…
…100001011001110000
310222000001000211211011
4212212320201121300
51134344330243100
631013254400304
72665165531240
oct464670413160
9128001024734
1041454540400
1116643009849
12804b060094
133ba8518c60
142013839b20
151129551bba
hex9a6e21670

41454540400 has 240 divisors, whose sum is σ = 123151673344. Its totient is φ = 13058288640.

The previous prime is 41454540353. The next prime is 41454540401. The reversal of 41454540400 is 404545414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41454540401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114647 + ... + 8119753.

Almost surely, 241454540400 is an apocalyptic number.

41454540400 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 41454540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61575836672).

41454540400 is an abundant number, since it is smaller than the sum of its proper divisors (81697132944).

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

41454540400 is a wasteful number, since it uses less digits than its factorization.

41454540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 41454540400 in words is "forty-one billion, four hundred fifty-four million, five hundred forty thousand, four hundred".