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145113141540 = 223512491936391
BaseRepresentation
bin1000011100100101101…
…0101101000100100100
3111212120011222101022210
42013021122231010210
54334142431012130
6150355234123420
713325016231333
oct2071132550444
9455504871283
10145113141540
11565a6649054
122415a120570
13108b7cb5b33
147048741d1a
153b94a765b0
hex21c96ad124

145113141540 has 48 divisors (see below), whose sum is σ = 406642320000. Its totient is φ = 38665835520.

The previous prime is 145113141527. The next prime is 145113141541. The reversal of 145113141540 is 45141311541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145113141498 and 145113141507.

It is not an unprimeable number, because it can be changed into a prime (145113141541) 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, 893256 + ... + 1043135.

It is an arithmetic number, because the mean of its divisors is an integer number (8471715000).

Almost surely, 2145113141540 is an apocalyptic number.

145113141540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145113141540 is an abundant number, since it is smaller than the sum of its proper divisors (261529178460).

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

145113141540 is a wasteful number, since it uses less digits than its factorization.

145113141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937652 (or 1937650 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 145113141540 in words is "one hundred forty-five billion, one hundred thirteen million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1249 2498 3747 4996 6245 7494 12490 14988 18735 24980 37470 74940 1936391 3872782 5809173 7745564 9681955 11618346 19363910 23236692 29045865 38727820 58091730 116183460 2418552359 4837104718 7255657077 9674209436 12092761795 14511314154 24185523590 29022628308 36278285385 48371047180 72556570770 145113141540