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12324545040 = 2435195126321
BaseRepresentation
bin10110111101001100…
…11010001000010000
31011210220210202110010
423132212122020100
5200220040420130
65354541434520
7614261622123
oct133646321020
934726722403
1012324545040
115254980115
12247b56ba40
131215477702
1484cb803ba
154c1ecc0b0
hex2de99a210

12324545040 has 80 divisors (see below), whose sum is σ = 38227124736. Its totient is φ = 3284736000.

The previous prime is 12324545033. The next prime is 12324545083. The reversal of 12324545040 is 4054542321.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12324544989 and 12324545007.

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, 455080 + ... + 481400.

Almost surely, 212324545040 is an apocalyptic number.

12324545040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324545040 is an abundant number, since it is smaller than the sum of its proper divisors (25902579696).

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

12324545040 is a wasteful number, since it uses less digits than its factorization.

12324545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28288 (or 28282 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12324545040 in words is "twelve billion, three hundred twenty-four million, five hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1951 3902 5853 7804 9755 11706 15608 19510 23412 26321 29265 31216 39020 46824 52642 58530 78040 78963 93648 105284 117060 131605 156080 157926 210568 234120 263210 315852 394815 421136 468240 526420 631704 789630 1052840 1263408 1579260 2105680 3158520 6317040 51352271 102704542 154056813 205409084 256761355 308113626 410818168 513522710 616227252 770284065 821636336 1027045420 1232454504 1540568130 2054090840 2464909008 3081136260 4108181680 6162272520 12324545040