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145025416420 = 22573277358601
BaseRepresentation
bin1000011100010000110…
…0000011110011100100
3111212100001220111002021
42013010030003303210
54334003001311140
6150342421552524
713322602462063
oct2070414036344
9455301814067
10145025416420
1156561080955
1224134875744
13108a2a7c491
14703ac281da
153b8bee8b4a
hex21c4303ce4

145025416420 has 48 divisors (see below), whose sum is σ = 309840734448. Its totient is φ = 57008793600.

The previous prime is 145025416397. The next prime is 145025416427. The reversal of 145025416420 is 24614520541.

It can be written as a sum of positive squares in 8 ways, for example, as 801682596 + 144223733824 = 28314^2 + 379768^2 .

It is not an unprimeable number, because it can be changed into a prime (145025416427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225120 + ... + 583720.

It is an arithmetic number, because the mean of its divisors is an integer number (6455015301).

Almost surely, 2145025416420 is an apocalyptic number.

145025416420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145025416420 is an abundant number, since it is smaller than the sum of its proper divisors (164815318028).

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

145025416420 is a wasteful number, since it uses less digits than its factorization.

145025416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358960 (or 358958 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 145025416420 its reverse (24614520541), we get a palindrome (169639936961).

The spelling of 145025416420 in words is "one hundred forty-five billion, twenty-five million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 277 292 365 554 730 1108 1385 1460 2770 5540 20221 40442 80884 101105 202210 358601 404420 717202 1434404 1793005 3586010 7172020 26177873 52355746 99332477 104711492 130889365 198664954 261778730 397329908 496662385 523557460 993324770 1986649540 7251270821 14502541642 29005083284 36256354105 72512708210 145025416420