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130440003100000 = 255511971222493
BaseRepresentation
bin11101101010001001101110…
…000011001001110101100000
3122002211221110002110200122221
4131222021232003021311200
5114044112111243200000
61141231150555240424
736321656606304256
oct3552115603116540
9562757402420587
10130440003100000
1138620327205750
1212768191149114
1357a25937bcaa9
14242d4890d85d6
15101309cd8c61a
hex76a26e0c9d60

130440003100000 has 288 divisors, whose sum is σ = 353774761153632. Its totient is φ = 46943692800000.

The previous prime is 130440003099929. The next prime is 130440003100009. The reversal of 130440003100000 is 1300044031.

It is a super-2 number, since 2×1304400031000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440003100009) 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, 106088754 + ... + 107311246.

It is an arithmetic number, because the mean of its divisors is an integer number (1228384587339).

Almost surely, 2130440003100000 is an apocalyptic number.

130440003100000 is a gapful number since it is divisible by the number (10) 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 130440003100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176887380576816).

130440003100000 is an abundant number, since it is smaller than the sum of its proper divisors (223334758053632).

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

130440003100000 is an equidigital number, since it uses as much as digits as its factorization.

130440003100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222636 (or 1222608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130440003100000 its reverse (1300044031), we get a palindrome (130441303144031).

The spelling of 130440003100000 in words is "one hundred thirty trillion, four hundred forty billion, three million, one hundred thousand".