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130844812080 = 243541109121993
BaseRepresentation
bin111100111011011110…
…1010110001100110000
3110111201210121010221010
41321312331112030300
54120432232441310
6140035334230520
712311312360223
oct1716675261460
9414653533833
10130844812080
1150544537a34
12214377b5440
13c452c17638
14649377b5ba
15360c0dd320
hex1e76f56330

130844812080 has 160 divisors (see below), whose sum is σ = 419327536320. Its totient is φ = 33728348160.

The previous prime is 130844812073. The next prime is 130844812139. The reversal of 130844812080 is 80218448031.

It is a happy number.

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, 1011564 + ... + 1133556.

It is an arithmetic number, because the mean of its divisors is an integer number (2620797102).

Almost surely, 2130844812080 is an apocalyptic number.

130844812080 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 130844812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209663768160).

130844812080 is an abundant number, since it is smaller than the sum of its proper divisors (288482724240).

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

130844812080 is a wasteful number, since it uses less digits than its factorization.

130844812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122159 (or 122153 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 130844812080 in words is "one hundred thirty billion, eight hundred forty-four million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 109 120 123 164 205 218 240 246 327 328 410 436 492 545 615 654 656 820 872 984 1090 1230 1308 1635 1640 1744 1968 2180 2460 2616 3270 3280 4360 4469 4920 5232 6540 8720 8938 9840 13080 13407 17876 22345 26160 26814 35752 44690 53628 67035 71504 89380 107256 121993 134070 178760 214512 243986 268140 357520 365979 487972 536280 609965 731958 975944 1072560 1219930 1463916 1829895 1951888 2439860 2927832 3659790 4879720 5001713 5855664 7319580 9759440 10003426 13297237 14639160 15005139 20006852 25008565 26594474 29278320 30010278 39891711 40013704 50017130 53188948 60020556 66486185 75025695 79783422 80027408 100034260 106377896 120041112 132972370 150051390 159566844 199458555 200068520 212755792 240082224 265944740 300102780 319133688 398917110 400137040 531889480 545186717 600205560 638267376 797834220 1063778960 1090373434 1200411120 1595668440 1635560151 2180746868 2725933585 3191336880 3271120302 4361493736 5451867170 6542240604 8177800755 8722987472 10903734340 13084481208 16355601510 21807468680 26168962416 32711203020 43614937360 65422406040 130844812080