Search a number
-
+
12435644444124 = 22311646271457741
BaseRepresentation
bin1011010011110110011000…
…1010110110110111011100
31122000211120102221211212110
42310331212022312313130
53112221144434202444
642240504534234020
72422305601463466
oct264754612666734
948024512854773
1012435644444124
113a64a22101690
12148a1401b5910
136c28a390ba85
1430dc61ac3136
1516872dc45cb9
hexb4f662b6ddc

12435644444124 has 48 divisors (see below), whose sum is σ = 31654879191936. Its totient is φ = 3768316209600.

The previous prime is 12435644444123. The next prime is 12435644444131. The reversal of 12435644444124 is 42144444653421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435644444123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7801894 + ... + 9259634.

It is an arithmetic number, because the mean of its divisors is an integer number (659476649832).

Almost surely, 212435644444124 is an apocalyptic number.

It is an amenable number.

12435644444124 is an abundant number, since it is smaller than the sum of its proper divisors (19219234747812).

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

12435644444124 is a wasteful number, since it uses less digits than its factorization.

12435644444124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522386 (or 1522384 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 48.

The spelling of 12435644444124 in words is "twelve trillion, four hundred thirty-five billion, six hundred forty-four million, four hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 64627 129254 193881 258508 387762 710897 775524 1421794 1457741 2132691 2843588 2915482 4265382 4373223 5830964 8530764 8746446 16035151 17492892 32070302 48105453 64140604 96210906 192421812 94209427607 188418855214 282628282821 376837710428 565256565642 1036303703677 1130513131284 2072607407354 3108911111031 4145214814708 6217822222062 12435644444124