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41230027238400 = 21032527111319972
BaseRepresentation
bin10010101111111100111010…
…01000001010110000000000
312101222112220111011212201200
421113332131020022300000
520401003043433112100
6223404451340501200
711453525340052620
oct1127763510126000
9171875814155650
1041230027238400
1112156613569870
12475a7a484a800
131a00c89a93550
14a277888dc880
154b774ab11e00
hex257f9d20ac00

41230027238400 has 4752 divisors, whose sum is σ = 210812154658560. Its totient is φ = 7414795468800.

The previous prime is 41230027238339. The next prime is 41230027238431. The reversal of 41230027238400 is 483272003214.

It is a happy number.

41230027238400 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 0 + 0 + 272 + 384 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 425051827152 + ... + 425051827248.

Almost surely, 241230027238400 is an apocalyptic number.

41230027238400 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 41230027238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105406077329280).

41230027238400 is an abundant number, since it is smaller than the sum of its proper divisors (169582127420160).

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

41230027238400 is a wasteful number, since it uses less digits than its factorization.

41230027238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 41230027238400 in words is "forty-one trillion, two hundred thirty billion, twenty-seven million, two hundred thirty-eight thousand, four hundred".