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40253213000 = 23537111340213
BaseRepresentation
bin100101011111010001…
…110100100101001000
310211220022112002102202
4211133101310211020
51124414310304000
630254142015332
72623340444060
oct453721644510
9124808462382
1040253213000
1116086986790
127974877548
133a4667b540
141d3c0823a0
1510a8d52dd5
hex95f474948

40253213000 has 256 divisors, whose sum is σ = 126471421440. Its totient is φ = 11581056000.

The previous prime is 40253212981. The next prime is 40253213017. The reversal of 40253213000 is 31235204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 980894 + ... + 1021106.

It is an arithmetic number, because the mean of its divisors is an integer number (494028990).

Almost surely, 240253213000 is an apocalyptic number.

40253213000 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 40253213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63235710720).

40253213000 is an abundant number, since it is smaller than the sum of its proper divisors (86218208440).

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

40253213000 is a wasteful number, since it uses less digits than its factorization.

40253213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40265 (or 40251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 40253213000 its reverse (31235204), we get a palindrome (40284448204).

The spelling of 40253213000 in words is "forty billion, two hundred fifty-three million, two hundred thirteen thousand".