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40441558248 = 233271311354623
BaseRepresentation
bin100101101010100000…
…010011010011101000
310212101102221000112200
4211222200103103220
51130311014330443
630324550540200
72631115400430
oct455240232350
9125342830480
1040441558248
1116173229313
127a07967660
133a766b4a30
141d590ad2c0
1510ba658dd3
hex96a8134e8

40441558248 has 192 divisors, whose sum is σ = 136000650240. Its totient is φ = 10571323392.

The previous prime is 40441558243. The next prime is 40441558253. The reversal of 40441558248 is 84285514404.

40441558248 is a `hidden beast` number, since 40 + 441 + 55 + 82 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (40441558243) and next prime (40441558253).

It is not an unprimeable number, because it can be changed into a prime (40441558243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713065 + ... + 767687.

It is an arithmetic number, because the mean of its divisors is an integer number (708336720).

Almost surely, 240441558248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441558248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68000325120).

40441558248 is an abundant number, since it is smaller than the sum of its proper divisors (95559091992).

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

40441558248 is a wasteful number, since it uses less digits than its factorization.

40441558248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54768 (or 54761 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 40441558248 in words is "forty billion, four hundred forty-one million, five hundred fifty-eight thousand, two hundred forty-eight".