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40053656250 = 23356371283
BaseRepresentation
bin100101010011011000…
…100100101010111010
310211101102000120001000
4211103120210222322
51124012214000000
630222252505430
72615365314006
oct452330445272
9124342016030
1040053656250
1115a94276853
127919a7b276
133a1421ac1a
141d1d777706
151096585000
hex953624aba

40053656250 has 224 divisors, whose sum is σ = 114354786240. Its totient is φ = 10384200000.

The previous prime is 40053656221. The next prime is 40053656257. The reversal of 40053656250 is 5265635004.

It is a happy number.

40053656250 is a `hidden beast` number, since 40 + 0 + 5 + 3 + 6 + 562 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (40053656257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31218109 + ... + 31219391.

Almost surely, 240053656250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40053656250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177393120).

40053656250 is an abundant number, since it is smaller than the sum of its proper divisors (74301129990).

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

40053656250 is an equidigital number, since it uses as much as digits as its factorization.

40053656250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 40053656250 in words is "forty billion, fifty-three million, six hundred fifty-six thousand, two hundred fifty".