Search a number
-
+
2421000144 = 243341532579
BaseRepresentation
bin1001000001001101…
…1000011111010000
320020201112112212000
42100103120133100
514424234001034
61040122234000
7113665106313
oct22023303720
96221475760
102421000144
111032656272
12576955900
132c775c384
1418d76897a
15e2823599
hex904d87d0

2421000144 has 160 divisors (see below), whose sum is σ = 7255785600. Its totient is φ = 772162560.

The previous prime is 2421000143. The next prime is 2421000151. The reversal of 2421000144 is 4410001242.

It is a super-2 number, since 2×24210001442 = 11722483394496041472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421000143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937447 + ... + 940025.

It is an arithmetic number, because the mean of its divisors is an integer number (45348660).

Almost surely, 22421000144 is an apocalyptic number.

2421000144 is a gapful number since it is divisible by the number (24) 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 2421000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627892800).

2421000144 is an abundant number, since it is smaller than the sum of its proper divisors (4834785456).

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

2421000144 is a wasteful number, since it uses less digits than its factorization.

2421000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2421000144 is about 49203.6598638760. The cubic root of 2421000144 is about 1342.7596177164.

Adding to 2421000144 its reverse (4410001242), we get a palindrome (6831001386).

The spelling of 2421000144 in words is "two billion, four hundred twenty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 53 54 72 82 106 108 123 144 159 164 212 216 246 318 328 369 424 432 477 492 636 656 738 848 954 984 1107 1272 1431 1476 1908 1968 2173 2214 2544 2579 2862 2952 3816 4346 4428 5158 5724 5904 6519 7632 7737 8692 8856 10316 11448 13038 15474 17384 17712 19557 20632 22896 23211 26076 30948 34768 39114 41264 46422 52152 58671 61896 69633 78228 92844 104304 105739 117342 123792 136687 139266 156456 185688 211478 234684 273374 278532 312912 317217 371376 410061 422956 469368 546748 557064 634434 820122 845912 938736 951651 1093496 1114128 1230183 1268868 1640244 1691824 1903302 2186992 2460366 2537736 2854953 3280488 3690549 3806604 4920732 5075472 5604167 5709906 6560976 7381098 7613208 9841464 11208334 11419812 14762196 15226416 16812501 19682928 22416668 22839624 29524392 33625002 44833336 45679248 50437503 59048784 67250004 89666672 100875006 134500008 151312509 201750012 269000016 302625018 403500024 605250036 807000048 1210500072 2421000144