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145103041200 = 24352139301477
BaseRepresentation
bin1000011100100011010…
…0001011001010110000
3111212112110222020021010
42013020310023022300
54334132334304300
6150354233430520
713324534333305
oct2071064131260
9455473866233
10145103041200
11565a097a567
122415686b440
13108b5b8a6c0
1470472730ac
153b93c2da50
hex21c8d0b2b0

145103041200 has 120 divisors (see below), whose sum is σ = 500568340048. Its totient is φ = 35717667840.

The previous prime is 145103041157. The next prime is 145103041201. The reversal of 145103041200 is 2140301541.

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

It is not an unprimeable number, because it can be changed into a prime (145103041201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4635139 + ... + 4666338.

Almost surely, 2145103041200 is an apocalyptic number.

145103041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145103041200 is an abundant number, since it is smaller than the sum of its proper divisors (355465298848).

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

145103041200 is a wasteful number, since it uses less digits than its factorization.

145103041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301511 (or 9301500 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 145103041200 its reverse (2140301541), we get a palindrome (147243342741).

The spelling of 145103041200 in words is "one hundred forty-five billion, one hundred three million, forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 9301477 18602954 27904431 37205908 46507385 55808862 74411816 93014770 111617724 120919201 139522155 148823632 186029540 223235448 232536925 241838402 279044310 362757603 372059080 446470896 465073850 483676804 558088620 604596005 697610775 725515206 744118160 930147700 967353608 1116177240 1209192010 1395221550 1451030412 1813788015 1860295400 1934707216 2232354480 2418384020 2790443100 2902060824 3022980025 3627576030 3720590800 4836768040 5580886200 5804121648 6045960050 7255152060 9068940075 9673536080 11161772400 12091920100 14510304120 18137880150 24183840200 29020608240 36275760300 48367680400 72551520600 145103041200