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140214530144 = 25132243710639
BaseRepresentation
bin1000001010010101101…
…1111111000001100000
3111101220210101010210002
42002211123333001200
54244124404431034
6144225203555132
713062434561423
oct2024533770140
9441823333702
10140214530144
11545124a0887
122321168baa8
13102b7165b00
146b01d139ba
1539a999ae7e
hex20a56ff060

140214530144 has 72 divisors (see below), whose sum is σ = 299065949280. Its totient is φ = 64681763328.

The previous prime is 140214530119. The next prime is 140214530173. The reversal of 140214530144 is 441035412041.

It is a super-2 number, since 2×1402145301442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13173977 + ... + 13184615.

It is an arithmetic number, because the mean of its divisors is an integer number (4153693740).

Almost surely, 2140214530144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140214530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149532974640).

140214530144 is an abundant number, since it is smaller than the sum of its proper divisors (158851419136).

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

140214530144 is a wasteful number, since it uses less digits than its factorization.

140214530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 140214530144 its reverse (441035412041), we get a palindrome (581249942185).

The spelling of 140214530144 in words is "one hundred forty billion, two hundred fourteen million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2437 2704 4874 5408 9748 10639 19496 21278 31681 38992 42556 63362 77984 85112 126724 138307 170224 253448 276614 340448 411853 506896 553228 823706 1013792 1106456 1647412 1797991 2212912 3294824 3595982 4425824 6589648 7191964 13179296 14383928 25927243 28767856 51854486 57535712 103708972 207417944 337054159 414835888 674108318 829671776 1348216636 2696433272 4381704067 5392866544 8763408134 10785733088 17526816268 35053632536 70107265072 140214530144