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1055314344320 = 2754574637793
BaseRepresentation
bin11110101101101011010…
…00101111100110000000
310201212221200010021000022
433112311220233212000
5114242240433004240
62124445452513012
7136146446631005
oct17266550574600
93655850107008
101055314344320
11377613487545
1215063a77b768
1378692047cb2
14391128a38ac
151c6b79569b5
hexf5b5a2f980

1055314344320 has 128 divisors (see below), whose sum is σ = 2534167347840. Its totient is φ = 420238393344.

The previous prime is 1055314344317. The next prime is 1055314344347. The reversal of 1055314344320 is 234434135501.

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

It is a super-2 number, since 2×10553143443202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135414344 + ... + 135422136.

It is an arithmetic number, because the mean of its divisors is an integer number (19798182405).

Almost surely, 21055314344320 is an apocalyptic number.

1055314344320 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 1055314344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267083673920).

1055314344320 is an abundant number, since it is smaller than the sum of its proper divisors (1478853003520).

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

1055314344320 is an equidigital number, since it uses as much as digits as its factorization.

1055314344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 1055314344320 its reverse (234434135501), we get a palindrome (1289748479821).

The spelling of 1055314344320 in words is "one trillion, fifty-five billion, three hundred fourteen million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 457 463 640 914 926 1828 1852 2285 2315 3656 3704 4570 4630 7312 7408 7793 9140 9260 14624 14816 15586 18280 18520 29248 29632 31172 36560 37040 38965 58496 59264 62344 73120 74080 77930 124688 146240 148160 155860 211591 249376 292480 296320 311720 423182 498752 623440 846364 997504 1057955 1246880 1692728 2115910 2493760 3385456 3561401 3608159 4231820 4987520 6770912 7122802 7216318 8463640 13541824 14245604 14432636 16927280 17807005 18040795 27083648 28491208 28865272 33854560 35614010 36081590 56982416 57730544 67709120 71228020 72163180 113964832 115461088 135418240 142456040 144326360 227929664 230922176 284912080 288652720 455859328 461844352 569824160 577305440 1139648320 1154610880 1648928663 2279296640 2309221760 3297857326 6595714652 8244643315 13191429304 16489286630 26382858608 32978573260 52765717216 65957146520 105531434432 131914293040 211062868864 263828586080 527657172160 1055314344320