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1401111111440 = 24537441467773
BaseRepresentation
bin10100011000111000101…
…110101110011100010000
311221221111211202002211102
4110120320232232130100
5140423433421031230
62551354521403532
7203140560642005
oct24307056563420
94857454662742
101401111111440
114a0231771807
121a76653395a8
13a217cb78271
144bb57ddb8ac
15266a598d045
hex14638bae710

1401111111440 has 40 divisors (see below), whose sum is σ = 3257677304088. Its totient is φ = 560428277760.

The previous prime is 1401111111419. The next prime is 1401111111443. The reversal of 1401111111440 is 441111111041.

It can be written as a sum of positive squares in 4 ways, for example, as 113585176576 + 1287525934864 = 337024^2 + 1134692^2 .

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

It is a super-2 number, since 2×14011111114402 (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 not an unprimeable number, because it can be changed into a prime (1401111111443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2761394 + ... + 3229166.

Almost surely, 21401111111440 is an apocalyptic number.

1401111111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401111111440 is an abundant number, since it is smaller than the sum of its proper divisors (1856566192648).

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

1401111111440 is a wasteful number, since it uses less digits than its factorization.

1401111111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505227 (or 505221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 1401111111440 its reverse (441111111041), we get a palindrome (1842222222481).

The spelling of 1401111111440 in words is "one trillion, four hundred one billion, one hundred eleven million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 37441 74882 149764 187205 299528 374410 467773 599056 748820 935546 1497640 1871092 2338865 2995280 3742184 4677730 7484368 9355460 18710920 37421840 17513888893 35027777786 70055555572 87569444465 140111111144 175138888930 280222222288 350277777860 700555555720 1401111111440