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140021334020 = 225171932133821
BaseRepresentation
bin1000001001100111101…
…1000000000000000100
3111101102022211202112002
42002121323000000010
54243230430142040
6144154103044432
713054600462421
oct2023173000004
9441368752462
10140021334020
1154423435767
1223178a40718
1310286121689
146ac43c2d48
153997a37a15
hex2099ec0004

140021334020 has 48 divisors (see below), whose sum is σ = 312954869808. Its totient is φ = 52440760320.

The previous prime is 140021334017. The next prime is 140021334031. The reversal of 140021334020 is 20433120041.

It can be written as a sum of positive squares in 8 ways, for example, as 4843046464 + 135178287556 = 69592^2 + 367666^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 140021333983 and 140021334001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001291 + ... + 1132530.

It is an arithmetic number, because the mean of its divisors is an integer number (6519893121).

Almost surely, 2140021334020 is an apocalyptic number.

140021334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140021334020 is an abundant number, since it is smaller than the sum of its proper divisors (172933535788).

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

140021334020 is a wasteful number, since it uses less digits than its factorization.

140021334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134040 (or 2134038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140021334020 its reverse (20433120041), we get a palindrome (160454454061).

The spelling of 140021334020 in words is "one hundred forty billion, twenty-one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 13124 16405 32810 65620 2133821 4267642 8535284 10669105 21338210 36274957 42676420 72549914 145099828 181374785 362749570 411827453 725499140 823654906 1647309812 2059137265 4118274530 7001066701 8236549060 14002133402 28004266804 35005333505 70010667010 140021334020