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145242155314120 = 2353631053882853
BaseRepresentation
bin100001000001100011010011…
…000100101110101111001000
3201001021000101112022012011011
4201001203103010232233020
5123014121413230022440
61232523154112213304
742410254002202534
oct4101432304565710
9631230345265134
10145242155314120
1142307941246387
1214358a9bb3a234
136307379560387
1427c1a8768abc4
1511bd135eaa9ea
hex8418d312ebc8

145242155314120 has 16 divisors (see below), whose sum is σ = 326794849456860. Its totient is φ = 58096862125632.

The previous prime is 145242155314097. The next prime is 145242155314121. The reversal of 145242155314120 is 21413551242541.

It can be written as a sum of positive squares in 2 ways, for example, as 129434263178724 + 15807892135396 = 11376918^2 + 3975914^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3631053882853 = 145242155314120 / (1 + 4 + 5 + 2 + 4 + 2 + 1 + 5 + 5 + 3 + 1 + 4 + 1 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (145242155314121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1815526941387 + ... + 1815526941466.

Almost surely, 2145242155314120 is an apocalyptic number.

145242155314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145242155314120 is an abundant number, since it is smaller than the sum of its proper divisors (181552694142740).

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

145242155314120 is a wasteful number, since it uses less digits than its factorization.

145242155314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631053882864 (or 3631053882860 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 145242155314120 in words is "one hundred forty-five trillion, two hundred forty-two billion, one hundred fifty-five million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3631053882853 7262107765706 14524215531412 18155269414265 29048431062824 36310538828530 72621077657060 145242155314120