Search a number
-
+
24101900144 = 2471716937477
BaseRepresentation
bin10110011100100101…
…011100111101110000
32022012200222101102022
4112130211130331300
5343330041301034
615023335211012
71512160525310
oct263445347560
968180871368
1024101900144
11a248992343
124807816a68
13237145699a
141248da3440
15960e1db2e
hex59c95cf70

24101900144 has 80 divisors (see below), whose sum is σ = 56548755648. Its totient is φ = 9714733056.

The previous prime is 24101900117. The next prime is 24101900177. The reversal of 24101900144 is 44100910142.

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 15 ways as a sum of consecutive naturals, for example, 3219734 + ... + 3227210.

Almost surely, 224101900144 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 24101900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274377824).

24101900144 is an abundant number, since it is smaller than the sum of its proper divisors (32446855504).

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

24101900144 is a wasteful number, since it uses less digits than its factorization.

24101900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 24101900144 in words is "twenty-four billion, one hundred one million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1693 1904 3386 6772 7477 11851 13544 14954 23702 27088 28781 29908 47404 52339 57562 59816 94808 104678 115124 119632 127109 189616 201467 209356 230248 254218 402934 418712 460496 508436 805868 837424 889763 1016872 1611736 1779526 2033744 3223472 3559052 7118104 12658561 14236208 25317122 50634244 88609927 101268488 177219854 202536976 215195537 354439708 430391074 708879416 860782148 1417758832 1506368759 1721564296 3012737518 3443128592 6025475036 12050950072 24101900144