Search a number
-
+
120453303040 = 285741327889
BaseRepresentation
bin111000000101110010…
…0111000101100000000
3102111220121010210100221
41300023210320230000
53433142021144130
6131200244152424
711462642116420
oct1601344705400
9374817123327
10120453303040
11470a1827434
121b417698714
13b48809c615
145b89624480
1531eeb9787a
hex1c0b938b00

120453303040 has 144 divisors (see below), whose sum is σ = 337784408640. Its totient is φ = 40290877440.

The previous prime is 120453303029. The next prime is 120453303041. The reversal of 120453303040 is 40303354021.

It is a junction number, because it is equal to n+sod(n) for n = 120453302996 and 120453303014.

It is not an unprimeable number, because it can be changed into a prime (120453303041) 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, 203416 + ... + 531304.

It is an arithmetic number, because the mean of its divisors is an integer number (2345725060).

Almost surely, 2120453303040 is an apocalyptic number.

120453303040 is a gapful number since it is divisible by the number (10) 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 120453303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168892204320).

120453303040 is an abundant number, since it is smaller than the sum of its proper divisors (217331105600).

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

120453303040 is an equidigital number, since it uses as much as digits as its factorization.

120453303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327958 (or 327944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 120453303040 its reverse (40303354021), we get a palindrome (160756657061).

The spelling of 120453303040 in words is "one hundred twenty billion, four hundred fifty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1280 1312 1435 1640 1792 2240 2296 2624 2870 3280 4480 4592 5248 5740 6560 8960 9184 10496 11480 13120 18368 22960 26240 36736 45920 52480 73472 91840 183680 327889 367360 655778 1311556 1639445 2295223 2623112 3278890 4590446 5246224 6557780 9180892 10492448 11476115 13115560 13443449 18361784 20984896 22952230 26231120 26886898 36723568 41969792 45904460 52462240 53773796 67217245 73447136 83939584 91808920 94104143 104924480 107547592 134434490 146894272 183617840 188208286 209848960 215095184 268868980 293788544 367235680 376416572 419697920 430190368 470520715 537737960 587577088 734471360 752833144 860380736 941041430 1075475920 1468942720 1505666288 1720761472 1882082860 2150951840 2937885440 3011332576 3441522944 3764165720 4301903680 6022665152 7528331440 8603807360 12045330304 15056662880 17207614720 24090660608 30113325760 60226651520 120453303040