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145700034580 = 225411072916561
BaseRepresentation
bin1000011110110001100…
…1100001100000010100
3111221002002022122020001
42013230121201200110
54341343202101310
6150533401221044
713345403600632
oct2075431414024
9457062278201
10145700034580
1156877964521
12242a2791784
131097c772919
1470a2676352
153bcb35593a
hex21ec661814

145700034580 has 48 divisors (see below), whose sum is σ = 313480898640. Its totient is φ = 56849817600.

The previous prime is 145700034559. The next prime is 145700034643. The reversal of 145700034580 is 85430007541.

It can be written as a sum of positive squares in 8 ways, for example, as 34985457936 + 110714576644 = 187044^2 + 332738^2 .

It is a super-2 number, since 2×1457000345802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8789500 + ... + 8806060.

It is an arithmetic number, because the mean of its divisors is an integer number (6530852055).

Almost surely, 2145700034580 is an apocalyptic number.

145700034580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145700034580 is an abundant number, since it is smaller than the sum of its proper divisors (167780864060).

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

145700034580 is a wasteful number, since it uses less digits than its factorization.

145700034580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27340 (or 27338 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 145700034580 in words is "one hundred forty-five billion, seven hundred million, thirty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 10729 16561 21458 33122 42916 53645 66244 82805 107290 165610 214580 331220 439889 679001 879778 1358002 1759556 2199445 2716004 3395005 4398890 6790010 8797780 13580020 177682969 355365938 710731876 888414845 1776829690 3553659380 7285001729 14570003458 29140006916 36425008645 72850017290 145700034580