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144607240020 = 22353413706159
BaseRepresentation
bin1000011010101101000…
…0110101111101010100
3111211020221000220220110
42012223100311331110
54332123423140040
6150233123003020
713306334154645
oct2065320657524
9454227026813
10144607240020
1156367020821
1224038809470
1310837245819
146ddb4916cc
153b65444980
hex21ab435f54

144607240020 has 48 divisors (see below), whose sum is σ = 405019480320. Its totient is φ = 38550577536.

The previous prime is 144607240009. The next prime is 144607240067. The reversal of 144607240020 is 20042706441.

144607240020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446072400202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144607240020.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 148300 + ... + 557859.

It is an arithmetic number, because the mean of its divisors is an integer number (8437905840).

Almost surely, 2144607240020 is an apocalyptic number.

144607240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144607240020 is an abundant number, since it is smaller than the sum of its proper divisors (260412240300).

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

144607240020 is a wasteful number, since it uses less digits than its factorization.

144607240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709584 (or 709582 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 144607240020 its reverse (20042706441), we get a palindrome (164649946461).

The spelling of 144607240020 in words is "one hundred forty-four billion, six hundred seven million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3413 6826 10239 13652 17065 20478 34130 40956 51195 68260 102390 204780 706159 1412318 2118477 2824636 3530795 4236954 7061590 8473908 10592385 14123180 21184770 42369540 2410120667 4820241334 7230362001 9640482668 12050603335 14460724002 24101206670 28921448004 36151810005 48202413340 72303620010 144607240020