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2044255452240 = 243517778964327
BaseRepresentation
bin11101101111110111000…
…111101011110001010000
321020102120200021202111210
4131233313013223301100
5231443113343432430
64203041252540120
7300456361433121
oct35576707536120
97212520252453
102044255452240
11718a66a00101
12290235021640
1311aa071395c1
1470d2a2aa048
15382983992b0
hex1dbf71ebc50

2044255452240 has 160 divisors (see below), whose sum is σ = 6710933687040. Its totient is φ = 512994189312.

The previous prime is 2044255452233. The next prime is 2044255452241. The reversal of 2044255452240 is 422545524402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044255452241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31746957 + ... + 31811283.

It is an arithmetic number, because the mean of its divisors is an integer number (41943335544).

Almost surely, 22044255452240 is an apocalyptic number.

2044255452240 is a gapful number since it is divisible by the number (20) 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 2044255452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355466843520).

2044255452240 is an abundant number, since it is smaller than the sum of its proper divisors (4666678234800).

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

2044255452240 is a wasteful number, since it uses less digits than its factorization.

2044255452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72149 (or 72143 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 39.

It can be divided in two parts, 2044255 and 452240, that added together give a triangular number (2496495 = T2234).

The spelling of 2044255452240 in words is "two trillion, forty-four billion, two hundred fifty-five million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 7789 15578 23367 31156 38945 46734 62312 64327 77890 93468 116835 124624 128654 132413 155780 186936 192981 233670 257308 264826 311560 321635 373872 385962 397239 467340 514616 529652 623120 643270 662065 771924 794478 934680 964905 1029232 1059304 1093559 1286540 1324130 1543848 1588956 1869360 1929810 1986195 2118608 2187118 2573080 2648260 3087696 3177912 3280677 3859620 3972390 4374236 5146160 5296520 5467795 6355824 6561354 7719240 7944780 8748472 10593040 10935590 13122708 15438480 15889560 16403385 17496944 21871180 26245416 31779120 32806770 43742360 52490832 65613540 87484720 131227080 262454160 501043003 1002086006 1503129009 2004172012 2505215015 3006258018 4008344024 5010430030 6012516036 7515645045 8016688048 8517731051 10020860060 12025032072 15031290090 17035462102 20041720120 24050064144 25553193153 30062580180 34070924204 40083440240 42588655255 51106386306 60125160360 68141848408 85177310510 102212772612 120250320720 127765965765 136283696816 170354621020 204425545224 255531931530 340709242040 408851090448 511063863060 681418484080 1022127726120 2044255452240