Search a number
-
+
1061224321440 = 25352210884003
BaseRepresentation
bin11110111000101011110…
…01100001000110100000
310202110012112210012111210
433130111321201012200
5114341341411241230
62131304132110120
7136446061620003
oct17342571410640
93673175705453
101061224321440
1137a076510858
12151809a65340
13790c458458a
143951375b53a
151c91170aeb0
hexf715e611a0

1061224321440 has 48 divisors (see below), whose sum is σ = 3342856614048. Its totient is φ = 282993152256.

The previous prime is 1061224321439. The next prime is 1061224321471. The reversal of 1061224321440 is 441234221601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10612243214402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1061224321398 and 1061224321407.

It is an unprimeable number.

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, 1105441522 + ... + 1105442481.

It is an arithmetic number, because the mean of its divisors is an integer number (69642846126).

Almost surely, 21061224321440 is an apocalyptic number.

1061224321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061224321440 is an abundant number, since it is smaller than the sum of its proper divisors (2281632292608).

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

1061224321440 is a wasteful number, since it uses less digits than its factorization.

1061224321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210884021 (or 2210884013 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 1061224321440 in words is "one trillion, sixty-one billion, two hundred twenty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2210884003 4421768006 6632652009 8843536012 11054420015 13265304018 17687072024 22108840030 26530608036 33163260045 35374144048 44217680060 53061216072 66326520090 70748288096 88435360120 106122432144 132653040180 176870720240 212244864288 265306080360 353741440480 530612160720 1061224321440