Search a number
-
+
40049278080 = 2735723243131
BaseRepresentation
bin100101010011000111…
…110111110010000000
310211101002210010022120
4211103013313302000
51124010103344310
630222015004240
72615313150450
oct452307676200
9124332703276
1040049278080
1115a91856429
127918509680
133a133471a6
141d1cd57d60
151095ebcb70
hex9531f7c80

40049278080 has 768 divisors, whose sum is σ = 157250903040. Its totient is φ = 8487198720.

The previous prime is 40049278067. The next prime is 40049278099. The reversal of 40049278080 is 8087294004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 305719615 + ... + 305719745.

It is an arithmetic number, because the mean of its divisors is an integer number (204753780).

Almost surely, 240049278080 is an apocalyptic number.

40049278080 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 40049278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78625451520).

40049278080 is an abundant number, since it is smaller than the sum of its proper divisors (117201624960).

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

40049278080 is a wasteful number, since it uses less digits than its factorization.

40049278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 40049278080 in words is "forty billion, forty-nine million, two hundred seventy-eight thousand, eighty".