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40212934852608 = 215337294143127
BaseRepresentation
bin10010010010010110011011…
…01100101000000000000000
312021101022121120102021212000
421021023031230220000000
520232322042310240413
6221305322305104000
711320201004322210
oct1111131554500000
9167338546367760
1040212934852608
11118a4234414501
124615652628000
1319590a962877b
149d0460408240
1549b06da25073
hex2492cdb28000

40212934852608 has 2048 divisors, whose sum is σ = 148818345984000. Its totient is φ = 10487731322880.

The previous prime is 40212934852603. The next prime is 40212934852613. The reversal of 40212934852608 is 80625843921204.

40212934852608 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 29 + 3 + 4 + 8 + 5 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (40212934852603) and next prime (40212934852613).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40212934852603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316637282241 + ... + 316637282367.

It is an arithmetic number, because the mean of its divisors is an integer number (72665208000).

Almost surely, 240212934852608 is an apocalyptic number.

40212934852608 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 40212934852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74409172992000).

40212934852608 is an abundant number, since it is smaller than the sum of its proper divisors (108605411131392).

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

40212934852608 is a wasteful number, since it uses less digits than its factorization.

40212934852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 40212934852608 in words is "forty trillion, two hundred twelve billion, nine hundred thirty-four million, eight hundred fifty-two thousand, six hundred eight".