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141014311040 = 275415374021
BaseRepresentation
bin1000001101010100011…
…0111010000010000000
3111110222112022012220202
42003111012322002000
54302244130423130
6144440414024332
713121315603231
oct2032506720200
9443875265822
10141014311040
11548929a2029
12233b54a80a8
13103b3a70045
146b7a223088
153a04ccd145
hex20d51ba080

141014311040 has 64 divisors (see below), whose sum is σ = 345334653720. Its totient is φ = 55029964800.

The previous prime is 141014311001. The next prime is 141014311051. The reversal of 141014311040 is 40113410141.

It can be written as a sum of positive squares in 4 ways, for example, as 106218631744 + 34795679296 = 325912^2 + 186536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2660771 + ... + 2713250.

Almost surely, 2141014311040 is an apocalyptic number.

141014311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141014311040 is an abundant number, since it is smaller than the sum of its proper divisors (204320342680).

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

141014311040 is an equidigital number, since it uses as much as digits as its factorization.

141014311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374081 (or 5374069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 141014311040 its reverse (40113410141), we get a palindrome (181127721181).

The spelling of 141014311040 in words is "one hundred forty-one billion, fourteen million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 5374021 10748042 21496084 26870105 42992168 53740210 85984336 107480420 171968672 214960840 220334861 343937344 429921680 440669722 687874688 859843360 881339444 1101674305 1719686720 1762678888 2203348610 3439373440 3525357776 4406697220 7050715552 8813394440 14101431104 17626788880 28202862208 35253577760 70507155520 141014311040