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144011000440 = 23517216774597
BaseRepresentation
bin1000011000011110111…
…0010111101001111000
3111202201101002210222001
42012013232113221320
54324413304003230
6150054023310344
713255504210066
oct2060756275170
9452641083861
10144011000440
115609050113a
1223ab0bab3b4
1310770865738
146d82207036
153b2ce1b0ca
hex2187b97a78

144011000440 has 96 divisors (see below), whose sum is σ = 346271980320. Its totient is φ = 53890537472.

The previous prime is 144011000377. The next prime is 144011000447. The reversal of 144011000440 is 44000110441.

144011000440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144011000447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893222 + ... + 1967818.

It is an arithmetic number, because the mean of its divisors is an integer number (3606999795).

Almost surely, 2144011000440 is an apocalyptic number.

144011000440 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 144011000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173135990160).

144011000440 is an abundant number, since it is smaller than the sum of its proper divisors (202260979880).

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

144011000440 is a wasteful number, since it uses less digits than its factorization.

144011000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74809 (or 74788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 144011000440 its reverse (44000110441), we get a palindrome (188011110881).

The spelling of 144011000440 in words is "one hundred forty-four billion, eleven million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 167 170 289 334 340 578 668 680 835 1156 1336 1445 1670 2312 2839 2890 3340 5678 5780 6680 11356 11560 14195 22712 28390 48263 56780 74597 96526 113560 149194 193052 241315 298388 372985 386104 482630 596776 745970 965260 1268149 1491940 1930520 2536298 2983880 5072596 6340745 10145192 12457699 12681490 21558533 24915398 25362980 43117066 49830796 50725960 62288495 86234132 99661592 107792665 124576990 172468264 211780883 215585330 249153980 423561766 431170660 498307960 847123532 862341320 1058904415 1694247064 2117808830 3600275011 4235617660 7200550022 8471235320 14401100044 18001375055 28802200088 36002750110 72005500220 144011000440