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1341990961680 = 243559827114599
BaseRepresentation
bin10011100001110100111…
…001010000001000010000
311202021220122202022201010
4103201310321100020100
5133441344141233210
62504300243410520
7165645533651235
oct23416471201020
94667818668633
101341990961680
11478153a04206
12198106083a40
139971a7ab125
1448d4a33b78c
1524d955d6920
hex13874e50210

1341990961680 has 160 divisors (see below), whose sum is σ = 4235836032000. Its totient is φ = 351370302976.

The previous prime is 1341990961673. The next prime is 1341990961681. The reversal of 1341990961680 is 861690991431.

It is a super-2 number, since 2×13419909616802 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1341990961680.

It is not an unprimeable number, because it can be changed into a prime (1341990961681) 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, 11653021 + ... + 11767619.

It is an arithmetic number, because the mean of its divisors is an integer number (26473975200).

Almost surely, 21341990961680 is an apocalyptic number.

1341990961680 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 1341990961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117918016000).

1341990961680 is an abundant number, since it is smaller than the sum of its proper divisors (2893845070320).

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

1341990961680 is a wasteful number, since it uses less digits than its factorization.

1341990961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115501 (or 115495 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 1341990961680 in words is "one trillion, three hundred forty-one billion, nine hundred ninety million, nine hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 827 885 944 1180 1416 1654 1770 2360 2481 2832 3308 3540 4135 4720 4962 6616 7080 8270 9924 12405 13232 14160 16540 19848 24810 33080 39696 48793 49620 66160 97586 99240 114599 146379 195172 198480 229198 243965 292758 343797 390344 458396 487930 572995 585516 687594 731895 780688 916792 975860 1145990 1171032 1375188 1463790 1718985 1833584 1951720 2291980 2342064 2750376 2927580 3437970 3903440 4583960 5500752 5855160 6761341 6875940 9167920 11710320 13522682 13751880 20284023 27045364 27503760 33806705 40568046 54090728 67613410 81136092 94773373 101420115 108181456 135226820 162272184 189546746 202840230 270453640 284320119 324544368 379093492 405680460 473866865 540907280 568640238 758186984 811360920 947733730 1137280476 1421600595 1516373968 1622721840 1895467460 2274560952 2843201190 3790934920 4549121904 5591629007 5686402380 7581869840 11183258014 11372804760 16774887021 22366516028 22745609520 27958145035 33549774042 44733032056 55916290070 67099548084 83874435105 89466064112 111832580140 134199096168 167748870210 223665160280 268398192336 335497740420 447330320560 670995480840 1341990961680