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11142314460 = 223252910719949
BaseRepresentation
bin10100110000010001…
…00011100111011100
31001202112020012222100
422120020203213130
5140304413030320
65041350245100
7543055052544
oct123010434734
931675205870
1011142314460
1147a8600852
1221ab656790
1310875652a4
14779b58324
15453301790
hex2982239dc

11142314460 has 144 divisors (see below), whose sum is σ = 35292348000. Its totient is φ = 2841871872.

The previous prime is 11142314429. The next prime is 11142314479. The reversal of 11142314460 is 6441324111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548566 + ... + 568514.

It is an arithmetic number, because the mean of its divisors is an integer number (245085750).

Almost surely, 211142314460 is an apocalyptic number.

11142314460 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 11142314460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646174000).

11142314460 is an abundant number, since it is smaller than the sum of its proper divisors (24150033540).

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

11142314460 is a wasteful number, since it uses less digits than its factorization.

11142314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11142314460 its reverse (6441324111), we get a palindrome (17583638571).

The spelling of 11142314460 in words is "eleven billion, one hundred forty-two million, three hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 107 116 145 174 180 214 261 290 321 348 428 435 522 535 580 642 870 963 1044 1070 1284 1305 1605 1740 1926 2140 2610 3103 3210 3852 4815 5220 6206 6420 9309 9630 12412 15515 18618 19260 19949 27927 31030 37236 39898 46545 55854 59847 62060 79796 93090 99745 111708 119694 139635 179541 186180 199490 239388 279270 299235 359082 398980 558540 578521 598470 718164 897705 1157042 1196940 1735563 1795410 2134543 2314084 2892605 3471126 3590820 4269086 5206689 5785210 6403629 6942252 8538172 8677815 10413378 10672715 11570420 12807258 17355630 19210887 20826756 21345430 25614516 26033445 32018145 34711260 38421774 42690860 52066890 61901747 64036290 76843548 96054435 104133780 123803494 128072580 185705241 192108870 247606988 309508735 371410482 384217740 557115723 619017470 742820964 928526205 1114231446 1238034940 1857052410 2228462892 2785578615 3714104820 5571157230 11142314460