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145730015743 = 13237110167967
BaseRepresentation
bin1000011110111000101…
…1111001000111111111
3111221011011201211122111
42013232023321013333
54341423341000433
6150540351554451
713346216460364
oct2075613710777
9457134654574
10145730015743
1156892881844
12242b082ba27
1310985a3c160
1470a663c46b
153bcdcc8dcd
hex21ee2f91ff

145730015743 has 32 divisors (see below), whose sum is σ = 167716749312. Its totient is φ = 125601168000.

The previous prime is 145730015737. The next prime is 145730015749. The reversal of 145730015743 is 347510037541.

It is an interprime number because it is at equal distance from previous prime (145730015737) and next prime (145730015749).

It is a cyclic number.

It is not a de Polignac number, because 145730015743 - 213 = 145730007551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145730015696 and 145730015705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145730015749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110146 + ... + 2178112.

It is an arithmetic number, because the mean of its divisors is an integer number (5241148416).

Almost surely, 2145730015743 is an apocalyptic number.

145730015743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

145730015743 is a deficient number, since it is larger than the sum of its proper divisors (21986733569).

145730015743 is a wasteful number, since it uses less digits than its factorization.

145730015743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68175.

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 145730015743 in words is "one hundred forty-five billion, seven hundred thirty million, fifteen thousand, seven hundred forty-three".

Divisors: 1 13 23 71 101 299 923 1313 1633 2323 7171 21229 30199 67967 93223 164933 883571 1563241 2144129 4825657 6864667 20322133 62733541 89240671 110990111 157887341 487391357 1442871443 2052535433 6336087641 11210001211 145730015743