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1450130541840 = 243255934136783
BaseRepresentation
bin10101000110100010100…
…001000000110100010000
312010122001002110011211200
4111012202201000310100
5142224331404314330
63030103014111200
7206524405141161
oct25064241006420
95118032404750
101450130541840
11509aa6982362
121b506594b500
13a6992721b96
14502883db768
1527ac41dda60
hex151a2840d10

1450130541840 has 120 divisors (see below), whose sum is σ = 4952564622720. Its totient is φ = 380147204352.

The previous prime is 1450130541833. The next prime is 1450130541869. The reversal of 1450130541840 is 481450310541.

1450130541840 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 1 + 30 + 541 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1450130541795 and 1450130541804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17025912 + ... + 17110871.

It is an arithmetic number, because the mean of its divisors is an integer number (41271371856).

Almost surely, 21450130541840 is an apocalyptic number.

1450130541840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450130541840 is an abundant number, since it is smaller than the sum of its proper divisors (3502434080880).

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

1450130541840 is a wasteful number, since it uses less digits than its factorization.

1450130541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34136861 (or 34136852 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1450130541840 in words is "one trillion, four hundred fifty billion, one hundred thirty million, five hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 34136783 68273566 102410349 136547132 170683915 204820698 273094264 307231047 341367830 409641396 512051745 546188528 614462094 682735660 819282792 1024103490 1228924188 1365471320 1536155235 1638565584 2014070197 2048206980 2457848376 2730942640 3072310470 4028140394 4096413960 4915696752 6042210591 6144620940 8056280788 8192827920 10070350985 12084421182 12289241880 16112561576 18126631773 20140701970 24168842364 24578483760 30211052955 32225123152 36253263546 40281403940 48337684728 60422105910 72506527092 80562807880 90633158865 96675369456 120844211820 145013054184 161125615760 181266317730 241688423640 290026108368 362532635460 483376847280 725065270920 1450130541840