Search a number
-
+
2321241201024 = 27328340153267
BaseRepresentation
bin100001110001110100110…
…000011101100110000000
322012220112021211200200020
4201301310300131212000
5301012400221413044
64534210302453440
7326463343442244
oct41616460354600
98186467750606
102321241201024
11815484163879
12315a56b94280
1313ab79c59485
14804c4a90424
15405aa380a19
hex21c74c1d980

2321241201024 has 128 divisors (see below), whose sum is σ = 6203131044480. Its totient is φ = 769075814400.

The previous prime is 2321241200987. The next prime is 2321241201077. The reversal of 2321241201024 is 4201021421232.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2321241200985 and 2321241201003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43550839 + ... + 43604105.

It is an arithmetic number, because the mean of its divisors is an integer number (48461961285).

Almost surely, 22321241201024 is an apocalyptic number.

2321241201024 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 2321241201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101565522240).

2321241201024 is an abundant number, since it is smaller than the sum of its proper divisors (3881889843456).

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

2321241201024 is a wasteful number, since it uses less digits than its factorization.

2321241201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53968 (or 53956 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2321241201024 its reverse (4201021421232), we get a palindrome (6522262622256).

The spelling of 2321241201024 in words is "two trillion, three hundred twenty-one billion, two hundred forty-one million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 401 566 802 849 1132 1203 1604 1698 2264 2406 3208 3396 4528 4812 6416 6792 9056 9624 12832 13584 18112 19248 25664 27168 36224 38496 51328 53267 54336 76992 106534 108672 113483 153984 159801 213068 226966 319602 340449 426136 453932 639204 680898 852272 907864 1278408 1361796 1704544 1815728 2556816 2723592 3409088 3631456 5113632 5447184 6818176 7262912 10227264 10894368 14525824 15074561 20454528 21360067 21788736 30149122 42720134 43577472 45223683 60298244 64080201 85440268 90447366 120596488 128160402 170880536 180894732 241192976 256320804 341761072 361789464 482385952 512641608 683522144 723578928 964771904 1025283216 1367044288 1447157856 1929543808 2050566432 2734088576 2894315712 4101132864 5788631424 6044898961 8202265728 12089797922 18134696883 24179595844 36269393766 48359191688 72538787532 96718383376 145077575064 193436766752 290155150128 386873533504 580310300256 773747067008 1160620600512 2321241201024