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145461069700 = 22526123846077
BaseRepresentation
bin1000011101111000100…
…1111100011110000100
3111220110102122222000221
42013132021330132010
54340401013212300
6150453543314124
713336442456212
oct2073611743604
9456412588027
10145461069700
1156764a88691
122423674b944
13109420c4c9b
14707ca2dcb2
153bb53a131a
hex21de27c784

145461069700 has 36 divisors (see below), whose sum is σ = 320825133412. Its totient is φ = 57230582400.

The previous prime is 145461069667. The next prime is 145461069703. The reversal of 145461069700 is 7960164541.

145461069700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3288334336 + 142172735364 = 57344^2 + 377058^2 .

It is a super-3 number, since 3×1454610697003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145461069703) 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 11 ways as a sum of consecutive naturals, for example, 11916939 + ... + 11929138.

Almost surely, 2145461069700 is an apocalyptic number.

145461069700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145461069700 is an abundant number, since it is smaller than the sum of its proper divisors (175364063712).

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

145461069700 is a wasteful number, since it uses less digits than its factorization.

145461069700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23846152 (or 23846145 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 145461069700 in words is "one hundred forty-five billion, four hundred sixty-one million, sixty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 23846077 47692154 95384308 119230385 238460770 476921540 596151925 1192303850 1454610697 2384607700 2909221394 5818442788 7273053485 14546106970 29092213940 36365267425 72730534850 145461069700