Search a number
-
+
13280211162240 = 273511628797877
BaseRepresentation
bin1100000101000000101001…
…0001001101010010000000
31202000120112202020102220120
43001100022101031102000
53220040333024142430
644124502250140240
72540315004234351
oct301201221152200
952016482212816
1013280211162240
114260118a94320
1215a5963a21680
1375441aaa4269
1433caa0d2bd28
151806ae8db610
hexc140a44d480

13280211162240 has 128 divisors (see below), whose sum is σ = 46178916160320. Its totient is φ = 3219445125120.

The previous prime is 13280211162109. The next prime is 13280211162247. The reversal of 13280211162240 is 4226111208231.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13280211162247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314377819 + ... + 314420058.

Almost surely, 213280211162240 is an apocalyptic number.

13280211162240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13280211162240 is an abundant number, since it is smaller than the sum of its proper divisors (32898704998080).

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

13280211162240 is a wasteful number, since it uses less digits than its factorization.

13280211162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628797910 (or 628797898 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 13280211162240 in words is "thirteen trillion, two hundred eighty billion, two hundred eleven million, one hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 628797877 1257595754 1886393631 2515191508 3143989385 3772787262 5030383016 6287978770 6916776647 7545574524 9431968155 10060766032 12575957540 13833553294 15091149048 18863936310 20121532064 20750329941 25151915080 27667106588 30182298096 34583883235 37727872620 40243064128 41500659882 50303830160 55334213176 60364596192 69167766470 75455745240 80486128256 83001319764 100607660320 103751649705 110668426352 120729192384 138335532940 150911490480 166002639528 201215320640 207503299410 221336852704 241458384768 276671065880 301822980960 332005279056 402430641280 415006598820 442673705408 553342131760 603645961920 664010558112 830013197640 885347410816 1106684263520 1207291923840 1328021116224 1660026395280 2213368527040 2656042232448 3320052790560 4426737054080 6640105581120 13280211162240