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121143440 = 245112947101
BaseRepresentation
bin1110011100010…
…00000010010000
322102221201120002
413032020002100
5222003042230
620004305132
73000462605
oct716100220
9272851502
10121143440
1162422950
12346a21a8
131c137512
14121366ac
15a97e545
hex7388090

121143440 has 160 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 41216000.

The previous prime is 121143431. The next prime is 121143493. The reversal of 121143440 is 44341121.

It is a super-3 number, since 3×1211434403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1199390 + ... + 1199490.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 2121143440 is an apocalyptic number.

121143440 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 121143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

121143440 is an abundant number, since it is smaller than the sum of its proper divisors (206692720).

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

121143440 is a wasteful number, since it uses less digits than its factorization.

121143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 121143440 is about 11006.5180688536. The cubic root of 121143440 is about 494.8041125399.

Adding to 121143440 its reverse (44341121), we get a palindrome (165484561).

The spelling of 121143440 in words is "one hundred twenty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 47 55 58 80 88 94 101 110 116 145 176 188 202 220 232 235 290 319 376 404 440 464 470 505 517 580 638 752 808 880 940 1010 1034 1111 1160 1276 1363 1595 1616 1880 2020 2068 2222 2320 2552 2585 2726 2929 3190 3760 4040 4136 4444 4747 5104 5170 5452 5555 5858 6380 6815 8080 8272 8888 9494 10340 10904 11110 11716 12760 13630 14645 14993 17776 18988 20680 21808 22220 23432 23735 25520 27260 29290 29986 32219 37976 41360 44440 46864 47470 52217 54520 58580 59972 64438 74965 75952 88880 94940 104434 109040 117160 119944 128876 137663 149930 161095 189880 208868 234320 239888 257752 261085 275326 299860 322190 379760 417736 515504 522170 550652 599720 644380 688315 835472 1044340 1101304 1199440 1288760 1376630 1514293 2088680 2202608 2577520 2753260 3028586 4177360 5506520 6057172 7571465 11013040 12114344 15142930 24228688 30285860 60571720 121143440