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332131000140240 = 24357547678153299
BaseRepresentation
bin100101110000100100100011…
…0010010000100000111010000
31121112222102011110100211102020
41023201021012102010013100
5322013113242013441430
63134214513004051440
7126646446542405430
oct11341110622040720
91545872143324366
10332131000140240
1196910a69a3a674
1231301267b33b80
1311342a85238bc2
145c033248c42c0
15285e752186b10
hex12e12464841d0

332131000140240 has 320 divisors, whose sum is σ = 1179039827097600. Its totient is φ = 75764275292160.

The previous prime is 332131000140239. The next prime is 332131000140319. The reversal of 332131000140240 is 42041000131233.

It is a happy number.

It is a super-2 number, since 2×3321310001402402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 332131000140240.

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 63 ways as a sum of consecutive naturals, for example, 6231441111 + ... + 6231494409.

It is an arithmetic number, because the mean of its divisors is an integer number (3684499459680).

Almost surely, 2332131000140240 is an apocalyptic number.

332131000140240 is a gapful number since it is divisible by the number (30) 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 332131000140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589519913548800).

332131000140240 is an abundant number, since it is smaller than the sum of its proper divisors (846908826957360).

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

332131000140240 is a wasteful number, since it uses less digits than its factorization.

332131000140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60650 (or 60644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 332131000140240 its reverse (42041000131233), we get a palindrome (374172000271473).

The spelling of 332131000140240 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, one hundred forty thousand, two hundred forty".