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145314128670 = 2356827709507
BaseRepresentation
bin1000011101010101100…
…1011010001100011110
3111220002012011120211120
42013111121122030132
54340100404104140
6150431214031410
713333006466544
oct2072531321436
9456065146746
10145314128670
115669a045717
12241b54a8566
131091a827529
1470672ddd94
153ba75281d0
hex21d565a31e

145314128670 has 32 divisors (see below), whose sum is σ = 348805484928. Its totient is φ = 38744703648.

The previous prime is 145314128653. The next prime is 145314128677. The reversal of 145314128670 is 76821413541.

145314128670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453141286702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145314128677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149944 + ... + 559563.

It is an arithmetic number, because the mean of its divisors is an integer number (10900171404).

Almost surely, 2145314128670 is an apocalyptic number.

145314128670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145314128670 is an abundant number, since it is smaller than the sum of its proper divisors (203491356258).

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

145314128670 is a wasteful number, since it uses less digits than its factorization.

145314128670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716344.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 145314128670 in words is "one hundred forty-five billion, three hundred fourteen million, one hundred twenty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 6827 13654 20481 34135 40962 68270 102405 204810 709507 1419014 2128521 3547535 4257042 7095070 10642605 21285210 4843804289 9687608578 14531412867 24219021445 29062825734 48438042890 72657064335 145314128670