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145023133520 = 24517106634657
BaseRepresentation
bin1000011100010000001…
…1010110011101010000
3111212022220121111112102
42013010003112131100
54334001410233040
6150342301015532
713322544203306
oct2070403263520
9455286544472
10145023133520
115655a861761
1224133b545a8
13108a2460355
14703a7d2276
153b8bbe7515
hex21c40d6750

145023133520 has 40 divisors (see below), whose sum is σ = 357012834984. Its totient is φ = 54596943872.

The previous prime is 145023133511. The next prime is 145023133523. The reversal of 145023133520 is 25331320541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29202708544 + 115820424976 = 170888^2 + 340324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145023133523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53315969 + ... + 53318688.

Almost surely, 2145023133520 is an apocalyptic number.

145023133520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145023133520 is an abundant number, since it is smaller than the sum of its proper divisors (211989701464).

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

145023133520 is a wasteful number, since it uses less digits than its factorization.

145023133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106634687 (or 106634681 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 145023133520 in words is "one hundred forty-five billion, twenty-three million, one hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 106634657 213269314 426538628 533173285 853077256 1066346570 1706154512 1812789169 2132693140 3625578338 4265386280 7251156676 8530772560 9063945845 14502313352 18127891690 29004626704 36255783380 72511566760 145023133520