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12818507303040 = 273523290274169
BaseRepresentation
bin1011101010001000101010…
…0100110000100010000000
31200101102210210222020202020
42322202022210300202000
53140004300332144130
643132424014121440
72462051363211165
oct272421244604200
950342723866666
1012818507303040
1140a233121626a
1215303901b0280
1371ca1aa0aa3a
143245c1ca806c
1517368adc7e10
hexba88a930880

12818507303040 has 128 divisors (see below), whose sum is σ = 42635470089600. Its totient is φ = 3269648228352.

The previous prime is 12818507303029. The next prime is 12818507303047. The reversal of 12818507303040 is 4030370581821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12818507302983 and 12818507303001.

It is not an unprimeable number, because it can be changed into a prime (12818507303047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145092925 + ... + 145181244.

It is an arithmetic number, because the mean of its divisors is an integer number (333089610075).

Almost surely, 212818507303040 is an apocalyptic number.

12818507303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12818507303040 is an abundant number, since it is smaller than the sum of its proper divisors (29816962786560).

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

12818507303040 is a wasteful number, since it uses less digits than its factorization.

12818507303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290274214 (or 290274202 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 12818507303040 its reverse (4030370581821), we get a palindrome (16848877884861).

The spelling of 12818507303040 in words is "twelve trillion, eight hundred eighteen billion, five hundred seven million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 14720 22080 44160 290274169 580548338 870822507 1161096676 1451370845 1741645014 2322193352 2902741690 3483290028 4354112535 4644386704 5805483380 6676305887 6966580056 8708225070 9288773408 11610966760 13352611774 13933160112 17416450140 18577546816 20028917661 23221933520 26705223548 27866320224 33381529435 34832900280 37155093632 40057835322 46443867040 53410447096 55732640448 66763058870 69665800560 80115670644 92887734080 100144588305 106820894192 111465280896 133526117740 139331601120 160231341288 185775468160 200289176610 213641788384 267052235480 278663202240 320462682576 400578353220 427283576768 534104470960 557326404480 640925365152 801156706440 854567153536 1068208941920 1281850730304 1602313412880 2136417883840 2563701460608 3204626825760 4272835767680 6409253651520 12818507303040