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13181445422640 = 2433511554774639
BaseRepresentation
bin1011111111010000101101…
…0111110011111000110000
31201200010121121002000122000
42333310023113303320300
53211431100012011030
644011250013414000
72530220335265565
oct277641327637060
951603547060560
1013181445422640
114222246335340
12158a79b49a300
1374800abc3221
14337db1b9886c
1517cd2dc08860
hexbfd0b5f3e30

13181445422640 has 160 divisors (see below), whose sum is σ = 49530279859200. Its totient is φ = 3195501914880.

The previous prime is 13181445422617. The next prime is 13181445422819. The reversal of 13181445422640 is 4622454418131.

13181445422640 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 1 + 44 + 542 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 277363560 + ... + 277411079.

It is an arithmetic number, because the mean of its divisors is an integer number (309564249120).

Almost surely, 213181445422640 is an apocalyptic number.

13181445422640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13181445422640 is an abundant number, since it is smaller than the sum of its proper divisors (36348834436560).

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

13181445422640 is a wasteful number, since it uses less digits than its factorization.

13181445422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554774672 (or 554774660 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 13181445422640 in words is "thirteen trillion, one hundred eighty-one billion, four hundred forty-five million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 554774639 1109549278 1664323917 2219098556 2773873195 3328647834 4438197112 4992971751 5547746390 6102521029 6657295668 8321619585 8876394224 9985943502 11095492780 12205042058 13314591336 14978915253 16643239170 18307563087 19971887004 22190985560 24410084116 24964858755 26629182672 29957830506 30512605145 33286478340 36615126174 39943774008 44381971120 48820168232 49929717510 54922689261 59915661012 61025210290 66572956680 73230252348 74894576265 79887548016 91537815435 97640336464 99859435020 109845378522 119831322024 122050420580 133145913360 146460504696 149789152530 164768067783 183075630870 199718870040 219690757044 239662644048 244100841160 274613446305 292921009392 299578305060 329536135566 366151261740 399437740080 439381514088 488201682320 549226892610 599156610120 659072271132 732302523480 823840338915 878763028176 1098453785220 1198313220240 1318144542264 1464605046960 1647680677830 2196907570440 2636289084528 3295361355660 4393815140880 6590722711320 13181445422640