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12341141040 = 2435414329167
BaseRepresentation
bin10110111111001011…
…01101111000110000
31011212002000220212210
423133211231320300
5200233313003130
65400333252120
7614552653014
oct133745557060
934762026783
1012341141040
115263285a18
122485034040
131218a38627
14851060544
154c36a95b0
hex2df96de30

12341141040 has 160 divisors (see below), whose sum is σ = 40103433216. Its totient is φ = 3135928320.

The previous prime is 12341141011. The next prime is 12341141063. The reversal of 12341141040 is 4014114321.

It is a junction number, because it is equal to n+sod(n) for n = 12341140998 and 12341141016.

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, 408537 + ... + 437703.

Almost surely, 212341141040 is an apocalyptic number.

12341141040 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 12341141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051716608).

12341141040 is an abundant number, since it is smaller than the sum of its proper divisors (27762292176).

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

12341141040 is a wasteful number, since it uses less digits than its factorization.

12341141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29267 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12341141040 its reverse (4014114321), we get a palindrome (16355255361).

It can be divided in two parts, 123411 and 41040, that added together give a triangular number (164451 = T573).

The spelling of 12341141040 in words is "twelve billion, three hundred forty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 120 123 129 164 172 205 215 240 246 258 328 344 410 430 492 516 615 645 656 688 820 860 984 1032 1230 1290 1640 1720 1763 1968 2064 2460 2580 3280 3440 3526 4920 5160 5289 7052 8815 9840 10320 10578 14104 17630 21156 26445 28208 29167 35260 42312 52890 58334 70520 84624 87501 105780 116668 141040 145835 175002 211560 233336 291670 350004 423120 437505 466672 583340 700008 875010 1166680 1195847 1254181 1400016 1750020 2333360 2391694 2508362 3500040 3587541 3762543 4783388 5016724 5979235 6270905 7000080 7175082 7525086 9566776 10033448 11958470 12541810 14350164 15050172 17937705 18812715 19133552 20066896 23916940 25083620 28700328 30100344 35875410 37625430 47833880 50167240 51421421 57400656 60200688 71750820 75250860 95667760 100334480 102842842 143501640 150501720 154264263 205685684 257107105 287003280 301003440 308528526 411371368 514214210 617057052 771321315 822742736 1028428420 1234114104 1542642630 2056856840 2468228208 3085285260 4113713680 6170570520 12341141040