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11121143440 = 24511831071423
BaseRepresentation
bin10100101101101111…
…10010111010010000
31001201001101121210111
422112313302322100
5140234003042230
65035312411104
7542410105501
oct122667627220
931631347714
1011121143440
114797660740
1221a4546a94
131083061b64
14777006ba8
1545151d92a
hex296df2e90

11121143440 has 160 divisors (see below), whose sum is σ = 28834154496. Its totient is φ = 3955207680.

The previous prime is 11121143437. The next prime is 11121143477. The reversal of 11121143440 is 4434112111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7814569 + ... + 7815991.

Almost surely, 211121143440 is an apocalyptic number.

11121143440 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 11121143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417077248).

11121143440 is an abundant number, since it is smaller than the sum of its proper divisors (17713011056).

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

11121143440 is a wasteful number, since it uses less digits than its factorization.

11121143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11121143440 its reverse (4434112111), we get a palindrome (15555255551).

The spelling of 11121143440 in words is "eleven billion, one hundred twenty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 107 110 166 176 214 220 332 415 428 440 535 664 830 856 880 913 1070 1177 1328 1423 1660 1712 1826 2140 2354 2846 3320 3652 4280 4565 4708 5692 5885 6640 7115 7304 8560 8881 9130 9416 11384 11770 14230 14608 15653 17762 18260 18832 22768 23540 28460 31306 35524 36520 44405 47080 56920 62612 71048 73040 78265 88810 94160 97691 113840 118109 125224 142096 152261 156530 177620 195382 236218 250448 304522 313060 355240 390764 472436 488455 590545 609044 626120 710480 761305 781528 944872 976910 1181090 1218088 1252240 1299199 1522610 1563056 1674871 1889744 1953820 2362180 2436176 2598398 3045220 3349742 3907640 4724360 5196796 6090440 6495995 6699484 7815280 8374355 9448720 10393592 12180880 12637663 12991990 13398968 16748710 20787184 25275326 25983980 26797936 33497420 50550652 51967960 63188315 66994840 101101304 103935920 126376630 133989680 139014293 202202608 252753260 278028586 505506520 556057172 695071465 1011013040 1112114344 1390142930 2224228688 2780285860 5560571720 11121143440