Search a number
-
+
2048823407040 = 26357512841799
BaseRepresentation
bin11101110100000111011…
…001000011000111000000
321020212101000200220110220
4131310013121003013000
5232031442243011130
64205114432023040
7301010516421444
oct35640731030700
97225330626426
102048823407040
1171a9a0445163
122910aa991a80
1311b284616a37
1471240c24824
153846440c410
hex1dd076431c0

2048823407040 has 112 divisors (see below), whose sum is σ = 6513678412800. Its totient is φ = 545625216000.

The previous prime is 2048823407023. The next prime is 2048823407047. The reversal of 2048823407040 is 407043288402.

It is a junction number, because it is equal to n+sod(n) for n = 2048823406983 and 2048823407001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048823407047) 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, 699940 + ... + 2141859.

Almost surely, 22048823407040 is an apocalyptic number.

2048823407040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048823407040 is an abundant number, since it is smaller than the sum of its proper divisors (4464855005760).

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

2048823407040 is a wasteful number, since it uses less digits than its factorization.

2048823407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842570 (or 2842560 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 2048823407040 in words is "two trillion, forty-eight billion, eight hundred twenty-three million, four hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 751 960 1502 2253 3004 3755 4506 6008 7510 9012 11265 12016 15020 18024 22530 24032 30040 36048 45060 48064 60080 72096 90120 120160 144192 180240 240320 360480 720960 2841799 5683598 8525397 11367196 14208995 17050794 22734392 28417990 34101588 42626985 45468784 56835980 68203176 85253970 90937568 113671960 136406352 170507940 181875136 227343920 272812704 341015880 454687840 545625408 682031760 909375680 1364063520 2134191049 2728127040 4268382098 6402573147 8536764196 10670955245 12805146294 17073528392 21341910490 25610292588 32012865735 34147056784 42683820980 51220585176 64025731470 68294113568 85367641960 102441170352 128051462940 136588227136 170735283920 204882340704 256102925880 341470567840 409764681408 512205851760 682941135680 1024411703520 2048823407040