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2427545041440 = 253537619134437
BaseRepresentation
bin100011010100110100111…
…101011011101000100000
322121001220210021022021220
4203110310331123220200
5304233103012311230
65055110535015040
7340245554252241
oct43246475335040
98531823238256
102427545041440
11856574987542
12332583b0a480
13147bbb7787ac
14856cb012cc8
154322cc1ed10
hex23534f5ba20

2427545041440 has 96 divisors (see below), whose sum is σ = 7647027030720. Its totient is φ = 647323321344.

The previous prime is 2427545041373. The next prime is 2427545041469. The reversal of 2427545041440 is 441405457242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2427545041392 and 2427545041401.

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, 17989902 + ... + 18124338.

It is an arithmetic number, because the mean of its divisors is an integer number (79656531570).

Almost surely, 22427545041440 is an apocalyptic number.

2427545041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427545041440 is an abundant number, since it is smaller than the sum of its proper divisors (5219481989280).

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

2427545041440 is a wasteful number, since it uses less digits than its factorization.

2427545041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172074 (or 172066 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 42.

The spelling of 2427545041440 in words is "two trillion, four hundred twenty-seven billion, five hundred forty-five million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 37619 75238 112857 134437 150476 188095 225714 268874 300952 376190 403311 451428 537748 564285 601904 672185 752380 806622 902856 1075496 1128570 1203808 1344370 1504760 1613244 1805712 2016555 2150992 2257140 2688740 3009520 3226488 3611424 4033110 4301984 4514280 5377480 6019040 6452976 8066220 9028560 10754960 12905952 16132440 18057120 21509920 32264880 64529760 5057385503 10114771006 15172156509 20229542012 25286927515 30344313018 40459084024 50573855030 60688626036 75860782545 80918168048 101147710060 121377252072 151721565090 161836336096 202295420120 242754504144 303443130180 404590840240 485509008288 606886260360 809181680480 1213772520720 2427545041440