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1310002441040 = 24517963237089
BaseRepresentation
bin10011000100000010001…
…110101110101101010000
311122020100022201002211102
4103010002032232231100
5132430341111103130
62441450134403532
7163434040011146
oct23040216565520
94566308632742
101310002441040
11465629254197
12191a792005a8
13966c045a9c7
1447593b85596
1524122116645
hex131023aeb50

1310002441040 has 40 divisors (see below), whose sum is σ = 3224917777320. Its totient is φ = 493177389056.

The previous prime is 1310002441019. The next prime is 1310002441051. The reversal of 1310002441040 is 401442000131.

It can be written as a sum of positive squares in 4 ways, for example, as 192956375824 + 1117046065216 = 439268^2 + 1056904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13100024410402 (a number of 25 digits) contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 481617185 + ... + 481619904.

It is an arithmetic number, because the mean of its divisors is an integer number (80622944433).

Almost surely, 21310002441040 is an apocalyptic number.

1310002441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310002441040 is an abundant number, since it is smaller than the sum of its proper divisors (1914915336280).

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

1310002441040 is a wasteful number, since it uses less digits than its factorization.

1310002441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963237119 (or 963237113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1310002441040 its reverse (401442000131), we get a palindrome (1711444441171).

The spelling of 1310002441040 in words is "one trillion, three hundred ten billion, two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 963237089 1926474178 3852948356 4816185445 7705896712 9632370890 15411793424 16375030513 19264741780 32750061026 38529483560 65500122052 77058967120 81875152565 131000244104 163750305130 262000488208 327500610260 655001220520 1310002441040