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40978453248 = 2832294713049
BaseRepresentation
bin100110001010100000…
…011001001100000000
310220202212012010000200
4212022200121030000
51132410441000443
630454130245200
72650325051115
oct461240311400
9126685163020
1040978453248
11164192a5497
127b37726800
133b309b7295
141daa50a90c
1510ec85ddd3
hex98a819300

40978453248 has 216 divisors, whose sum is σ = 124835256000. Its totient is φ = 12906872832.

The previous prime is 40978453247. The next prime is 40978453253. The reversal of 40978453248 is 84235487904.

It is a junction number, because it is equal to n+sod(n) for n = 40978453194 and 40978453203.

It is not an unprimeable number, because it can be changed into a prime (40978453247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133828 + ... + 3146876.

It is an arithmetic number, because the mean of its divisors is an integer number (577941000).

Almost surely, 240978453248 is an apocalyptic number.

40978453248 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 40978453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62417628000).

40978453248 is an abundant number, since it is smaller than the sum of its proper divisors (83856802752).

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

40978453248 is a wasteful number, since it uses less digits than its factorization.

40978453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13147 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40978453248 in words is "forty billion, nine hundred seventy-eight million, four hundred fifty-three thousand, two hundred forty-eight".