Search a number
-
+
145881825140 = 22547883175757
BaseRepresentation
bin1000011111011100111…
…0111111111101110100
3111221112202101112222202
42013313032333331310
54342231221401030
6151003413444032
713353042024362
oct2076716777564
9457482345882
10145881825140
115696053a457
1224333640618
13109ab3227bc
1470bc878632
153bdc2b4745
hex21f73bff74

145881825140 has 48 divisors (see below), whose sum is σ = 313226065152. Its totient is φ = 57046179456.

The previous prime is 145881825119. The next prime is 145881825209. The reversal of 145881825140 is 41528188541.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 742142 + ... + 917898.

It is an arithmetic number, because the mean of its divisors is an integer number (6525543024).

Almost surely, 2145881825140 is an apocalyptic number.

145881825140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145881825140 is an abundant number, since it is smaller than the sum of its proper divisors (167344240012).

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

145881825140 is a wasteful number, since it uses less digits than its factorization.

145881825140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176696 (or 176694 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 47.

The spelling of 145881825140 in words is "one hundred forty-five billion, eight hundred eighty-one million, eight hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 883 940 1766 3532 4415 8830 17660 41501 83002 166004 175757 207505 351514 415010 703028 830020 878785 1757570 3515140 8260579 16521158 33042316 41302895 82605790 155193431 165211580 310386862 620773724 775967155 1551934310 3103868620 7294091257 14588182514 29176365028 36470456285 72940912570 145881825140