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40258266048 = 263271113241131
BaseRepresentation
bin100101011111100101…
…000110001111000000
310211220200000210220200
4211133211012033000
51124422104003143
630254442205200
72623431421020
oct453745061700
9124820023820
1040258266048
1116089818160
1279764b3800
133a4772a500
141d3c9d9a80
1510a95001d3
hex95f9463c0

40258266048 has 1008 divisors, whose sum is σ = 160802433792. Its totient is φ = 9345024000.

The previous prime is 40258266023. The next prime is 40258266073. The reversal of 40258266048 is 84066285204.

40258266048 is a `hidden beast` number, since 4 + 0 + 2 + 582 + 6 + 60 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40258266023) and next prime (40258266073).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40258265994 and 40258266012.

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 143 ways as a sum of consecutive naturals, for example, 307314943 + ... + 307315073.

It is an arithmetic number, because the mean of its divisors is an integer number (159526224).

Almost surely, 240258266048 is an apocalyptic number.

40258266048 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 40258266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80401216896).

40258266048 is an abundant number, since it is smaller than the sum of its proper divisors (120544167744).

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

40258266048 is a wasteful number, since it uses less digits than its factorization.

40258266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40258266048 in words is "forty billion, two hundred fifty-eight million, two hundred sixty-six thousand, forty-eight".