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144011012430 = 23519318150029
BaseRepresentation
bin1000011000011110111…
…0011010100101001110
3111202201101010102102010
42012013232122211032
54324413304344210
6150054023442050
713255504260045
oct2060756324516
9452641112363
10144011012430
115609050a14a
1223ab0bb6326
131077086b02c
146d8220b55c
153b2ce1e920
hex2187b9a94e

144011012430 has 64 divisors (see below), whose sum is σ = 375553382400. Its totient is φ = 35208120960.

The previous prime is 144011012429. The next prime is 144011012447. The reversal of 144011012430 is 34210110441.

144011012430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440110124302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144011012397 and 144011012406.

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 31 ways as a sum of consecutive naturals, for example, 4057345 + ... + 4092684.

It is an arithmetic number, because the mean of its divisors is an integer number (5868021600).

Almost surely, 2144011012430 is an apocalyptic number.

144011012430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144011012430 is an abundant number, since it is smaller than the sum of its proper divisors (231542369970).

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

144011012430 is a wasteful number, since it uses less digits than its factorization.

144011012430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150089.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 144011012430 its reverse (34210110441), we get a palindrome (178221122871).

The spelling of 144011012430 in words is "one hundred forty-four billion, eleven million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 17670 8150029 16300058 24450087 40750145 48900174 81500290 122250435 154850551 244500870 252650899 309701102 464551653 505301798 757952697 774252755 929103306 1263254495 1515905394 1548505510 2322758265 2526508990 3789763485 4645516530 4800367081 7579526970 9600734162 14401101243 24001835405 28802202486 48003670810 72005506215 144011012430