Search a number
-
+
144826050432 = 2737113476803
BaseRepresentation
bin1000011011100001001…
…1100010011110000000
3111211211011202122100210
42012320103202132000
54333100432103212
6150310540514120
713314632055120
oct2067023423600
9454734678323
10144826050432
1156469591278
1224099b4b940
131087068793b
14701c56cc80
153b7976753c
hex21b84e2780

144826050432 has 128 divisors (see below), whose sum is σ = 443542152960. Its totient is φ = 41012600832.

The previous prime is 144826050409. The next prime is 144826050437. The reversal of 144826050432 is 234050628441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144826050437) 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, 65343 + ... + 542145.

It is an arithmetic number, because the mean of its divisors is an integer number (3465173070).

Almost surely, 2144826050432 is an apocalyptic number.

144826050432 is a gapful number since it is divisible by the number (12) 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 144826050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221771076480).

144826050432 is an abundant number, since it is smaller than the sum of its proper divisors (298716102528).

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

144826050432 is a wasteful number, since it uses less digits than its factorization.

144826050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476940 (or 476928 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 144826050432 its reverse (234050628441), we get a palindrome (378876678873).

The spelling of 144826050432 in words is "one hundred forty-four billion, eight hundred twenty-six million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3616 4746 5424 6328 7232 9492 10848 12656 14464 18984 21696 25312 37968 43392 50624 75936 101248 151872 303744 476803 953606 1430409 1907212 2860818 3337621 3814424 5721636 6675242 7628848 10012863 11443272 13350484 15257696 20025726 22886544 26700968 30515392 40051452 45773088 53401936 53878739 61030784 80102904 91546176 106803872 107757478 160205808 161636217 183092352 213607744 215514956 320411616 323272434 377151173 427215488 431029912 640823232 646544868 754302346 862059824 1131453519 1281646464 1293089736 1508604692 1724119648 2262907038 2586179472 3017209384 3448239296 4525814076 5172358944 6034418768 6896478592 9051628152 10344717888 12068837536 18103256304 20689435776 24137675072 36206512608 48275350144 72413025216 144826050432