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45144523204404 = 223133673347235591
BaseRepresentation
bin10100100001111000001110…
…10001001110011100110100
312220211202220102221121102220
422100330013101032130310
521404121440420020104
6240003035130402340
712336404240552061
oct1220740721163464
9186752812847386
1045144523204404
1113425759485128
1250913895903b0
131c26158360310
14b210140b9c68
155344a52d37d9
hex290f0744e734

45144523204404 has 96 divisors (see below), whose sum is σ = 113783653380096. Its totient is φ = 13848575771520.

The previous prime is 45144523204369. The next prime is 45144523204409. The reversal of 45144523204404 is 40440232544154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144523204409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191504649 + ... + 191740239.

It is an arithmetic number, because the mean of its divisors is an integer number (1185246389376).

Almost surely, 245144523204404 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 45144523204404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891826690048).

45144523204404 is an abundant number, since it is smaller than the sum of its proper divisors (68639130175692).

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

45144523204404 is a wasteful number, since it uses less digits than its factorization.

45144523204404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239325 (or 239323 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 45144523204404 its reverse (40440232544154), we get a palindrome (85584755748558).

The spelling of 45144523204404 in words is "forty-five trillion, one hundred forty-four billion, five hundred twenty-three million, two hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 367 734 1101 1468 2202 3347 4404 4771 6694 9542 10041 13388 14313 19084 20082 28626 40164 43511 57252 87022 130533 174044 235591 261066 471182 522132 706773 942364 1228349 1413546 2456698 2827092 3062683 3685047 4913396 6125366 7370094 9188049 12250732 14740188 15968537 18376098 31937074 36752196 47905611 63874148 86461897 95811222 172923794 191622444 259385691 345847588 518771382 788523077 1037542764 1124004661 1577046154 2248009322 2365569231 3154092308 3372013983 4496018644 4731138462 6744027966 9462276924 10250800001 13488055932 20501600002 30752400003 41003200004 61504800006 123009600012 289387969259 578775938518 868163907777 1157551877036 1736327815554 3472655631108 3762043600367 7524087200734 11286130801101 15048174401468 22572261602202 45144523204404