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12084145240 = 2353722735969
BaseRepresentation
bin10110100000100010…
…10110110001011000
31011012011110011220211
423100101112301120
5144222020121430
65315033100504
7605312353066
oct132021266130
934164404824
1012084145240
1151412041a2
122412b57734
1311a77168cb
14828c83036
154aad4272a
hex2d0456c58

12084145240 has 64 divisors (see below), whose sum is σ = 28047967200. Its totient is φ = 4682170368.

The previous prime is 12084145223. The next prime is 12084145243. The reversal of 12084145240 is 4254148021.

It is a super-3 number, since 3×120841452403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084145243) 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, 317976 + ... + 353944.

Almost surely, 212084145240 is an apocalyptic number.

12084145240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023983600).

12084145240 is an abundant number, since it is smaller than the sum of its proper divisors (15963821960).

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

12084145240 is a wasteful number, since it uses less digits than its factorization.

12084145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244 (or 36240 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 12084145240 in words is "twelve billion, eighty-four million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 227 296 370 454 740 908 1135 1480 1816 2270 4540 8399 9080 16798 33596 35969 41995 67192 71938 83990 143876 167980 179845 287752 335960 359690 719380 1330853 1438760 2661706 5323412 6654265 8164963 10646824 13308530 16329926 26617060 32659852 40824815 53234120 65319704 81649630 163299260 302103631 326598520 604207262 1208414524 1510518155 2416829048 3021036310 6042072620 12084145240