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121434041040 = 24351379492673
BaseRepresentation
bin111000100011000001…
…0000110101011010000
3102121102221120102222120
41301012002012223100
53442144103303130
6131441440534240
711526151214034
oct1610602065320
9377387512876
10121434041040
1147555394404
121b650021380
13b5b3324270
145c3d99a1c4
15325ad21910
hex1c46086ad0

121434041040 has 160 divisors (see below), whose sum is σ = 410535390720. Its totient is φ = 29513023488.

The previous prime is 121434040969. The next prime is 121434041041. The reversal of 121434041040 is 40140434121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121434041040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121434041041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144 + ... + 492816.

It is an arithmetic number, because the mean of its divisors is an integer number (2565846192).

Almost surely, 2121434041040 is an apocalyptic number.

121434041040 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 121434041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205267695360).

121434041040 is an abundant number, since it is smaller than the sum of its proper divisors (289101349680).

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

121434041040 is a wasteful number, since it uses less digits than its factorization.

121434041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492781 (or 492775 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 121434041040 its reverse (40140434121), we get a palindrome (161574475161).

The spelling of 121434041040 in words is "one hundred twenty-one billion, four hundred thirty-four million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 79 80 104 120 130 156 158 195 208 237 240 260 312 316 390 395 474 520 624 632 780 790 948 1027 1040 1185 1264 1560 1580 1896 2054 2370 3081 3120 3160 3792 4108 4740 5135 6162 6320 8216 9480 10270 12324 15405 16432 18960 20540 24648 30810 41080 49296 61620 82160 123240 246480 492673 985346 1478019 1970692 2463365 2956038 3941384 4926730 5912076 6404749 7390095 7882768 9853460 11824152 12809498 14780190 19214247 19706920 23648304 25618996 29560380 32023745 38428494 38921167 39413840 51237992 59120760 64047490 76856988 77842334 96071235 102475984 116763501 118241520 128094980 153713976 155684668 192142470 194605835 233527002 256189960 307427952 311369336 384284940 389211670 467054004 505975171 512379920 583817505 622738672 768569880 778423340 934108008 1011950342 1167635010 1517925513 1537139760 1556846680 1868216016 2023900684 2335270020 2529875855 3035851026 3113693360 4047801368 4670540040 5059751710 6071702052 7589627565 8095602736 9341080080 10119503420 12143404104 15179255130 20239006840 24286808208 30358510260 40478013680 60717020520 121434041040