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140162076020 = 225414496172
BaseRepresentation
bin1000001010001001001…
…1111000110101110100
3111101210010200012020202
42002202103320311310
54244022442413040
6144220051420032
713061226663101
oct2024223706564
9441703605222
10140162076020
115449592426a
12231b7bb4618
13102a932b675
146ad8d7baa8
1539a5089015
hex20a24f8d74

140162076020 has 72 divisors (see below), whose sum is σ = 302681496600. Its totient is φ = 54487121920.

The previous prime is 140162075993. The next prime is 140162076023. The reversal of 140162076020 is 20670261041.

It can be written as a sum of positive squares in 12 ways, for example, as 130423544164 + 9738531856 = 361142^2 + 98684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140162076023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227166752 + ... + 227167368.

It is an arithmetic number, because the mean of its divisors is an integer number (4203909675).

Almost surely, 2140162076020 is an apocalyptic number.

140162076020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140162076020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151340748300).

140162076020 is an abundant number, since it is smaller than the sum of its proper divisors (162519420580).

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

140162076020 is an equidigital number, since it uses as much as digits as its factorization.

140162076020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 140162076020 in words is "one hundred forty billion, one hundred sixty-two million, seventy-six thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 449 617 820 898 1234 1796 2245 2468 3085 4490 6170 8980 12340 18409 25297 36818 50594 73636 92045 101188 126485 184090 252970 277033 368180 380689 505940 554066 761378 1108132 1385165 1522756 1903445 2770330 3806890 5540660 7613780 11358353 15608249 22716706 31216498 45433412 56791765 62432996 78041245 113583530 156082490 170929361 227167060 312164980 341858722 683717444 854646805 1709293610 3418587220 7008103801 14016207602 28032415204 35040519005 70081038010 140162076020