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1030452442400 = 25524167468899
BaseRepresentation
bin11101111111010111100…
…00000111010100100000
310122111210000001210011002
432333223300013110200
5113340331311124100
62105214444011132
7134306400145643
oct16775360072440
93574700053132
101030452442400
113680155a3667
12147860530aa8
137622c304224
1437c349c7a5a
151bc0ee622d5
hexefebc07520

1030452442400 has 144 divisors (see below), whose sum is σ = 2615415415200. Its totient is φ = 396125030400.

The previous prime is 1030452442391. The next prime is 1030452442471. The reversal of 1030452442400 is 42442540301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963151 + ... + 2432049.

It is an arithmetic number, because the mean of its divisors is an integer number (18162607050).

Almost surely, 21030452442400 is an apocalyptic number.

1030452442400 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 1030452442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307707707600).

1030452442400 is an abundant number, since it is smaller than the sum of its proper divisors (1584962972800).

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

1030452442400 is a wasteful number, since it uses less digits than its factorization.

1030452442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469027 (or 469014 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 1030452442400 its reverse (42442540301), we get a palindrome (1072894982701).

The spelling of 1030452442400 in words is "one trillion, thirty billion, four hundred fifty-two million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 67 80 82 100 134 160 164 200 205 268 328 335 400 410 536 656 670 800 820 1025 1072 1312 1340 1640 1675 2050 2144 2680 2747 3280 3350 4100 5360 5494 6560 6700 8200 10720 10988 13400 13735 16400 21976 26800 27470 32800 43952 53600 54940 68675 87904 109880 137350 219760 274700 439520 468899 549400 937798 1098800 1875596 2197600 2344495 3751192 4688990 7502384 9377980 11722475 15004768 18755960 19224859 23444950 31416233 37511920 38449718 46889900 62832466 75023840 76899436 93779800 96124295 125664932 153798872 157081165 187559600 192248590 251329864 307597744 314162330 375119200 384497180 480621475 502659728 615195488 628324660 768994360 785405825 961242950 1005319456 1256649320 1288065553 1537988720 1570811650 1922485900 2513298640 2576131106 3075977440 3141623300 3844971800 5026597280 5152262212 6283246600 6440327765 7689943600 10304524424 12566493200 12880655530 15379887200 20609048848 25132986400 25761311060 32201638825 41218097696 51522622120 64403277650 103045244240 128806555300 206090488480 257613110600 515226221200 1030452442400