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40387888128 = 2103723372207
BaseRepresentation
bin100101100111010011…
…100100010000000000
310212020200221021222110
4211213103210100000
51130203244410003
630315352335320
72626564245660
oct454723442000
9125220837873
1040387888128
1116145a01145
1279b19a4540
133a68542c73
141d51cdc1a0
1510b5aa6a03
hex9674e4400

40387888128 has 352 divisors, whose sum is σ = 131905142784. Its totient is φ = 10734501888.

The previous prime is 40387888103. The next prime is 40387888129. The reversal of 40387888128 is 82188878304.

It is not an unprimeable number, because it can be changed into a prime (40387888129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18298801 + ... + 18301007.

Almost surely, 240387888128 is an apocalyptic number.

40387888128 is a gapful number since it is divisible by the number (48) 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 40387888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65952571392).

40387888128 is an abundant number, since it is smaller than the sum of its proper divisors (91517254656).

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

40387888128 is a wasteful number, since it uses less digits than its factorization.

40387888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 40387888128 in words is "forty billion, three hundred eighty-seven million, eight hundred eighty-eight thousand, one hundred twenty-eight".