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13966226106280 = 2357374331350961
BaseRepresentation
bin1100101100111100001111…
…1100100010011110101000
31211110011021022101101102221
43023033003330202132220
53312310312340400110
645411555023203424
72641012050113110
oct313170374423650
954404238341387
1013966226106280
1144a50525a1428
1216968b8a46574
137a4017a65356
14363d7cb2a040
15193460d137da
hexcb3c3f227a8

13966226106280 has 128 divisors (see below), whose sum is σ = 37741542094080. Its totient is φ = 4550654545920.

The previous prime is 13966226106263. The next prime is 13966226106281. The reversal of 13966226106280 is 8260162266931.

It is not an unprimeable number, because it can be changed into a prime (13966226106281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15230001 + ... + 16120960.

It is an arithmetic number, because the mean of its divisors is an integer number (294855797610).

Almost surely, 213966226106280 is an apocalyptic number.

13966226106280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966226106280 is an abundant number, since it is smaller than the sum of its proper divisors (23775315987800).

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

13966226106280 is a wasteful number, since it uses less digits than its factorization.

13966226106280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31351059 (or 31351055 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 13966226106280 in words is "thirteen trillion, nine hundred sixty-six billion, two hundred twenty-six million, one hundred six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 43 56 70 74 86 140 148 172 185 215 259 280 296 301 344 370 430 518 602 740 860 1036 1204 1295 1480 1505 1591 1720 2072 2408 2590 3010 3182 5180 6020 6364 7955 10360 11137 12040 12728 15910 22274 31820 44548 55685 63640 89096 111370 222740 445480 31350961 62701922 125403844 156754805 219456727 250807688 313509610 438913454 627019220 877826908 1097283635 1159985557 1254038440 1348091323 1755653816 2194567270 2319971114 2696182646 4389134540 4639942228 5392365292 5799927785 6740456615 8119898899 8778269080 9279884456 9436639261 10784730584 11599855570 13480913230 16239797798 18873278522 23199711140 26961826460 32479595596 37746557044 40599494495 46399422280 47183196305 49879378951 53923652920 64959191192 75493114088 81198988990 94366392610 99758757902 162397977980 188732785220 199517515804 249396894755 324795955960 349155652657 377465570440 399035031608 498793789510 698311305314 997587579020 1396622610628 1745778263285 1995175158040 2793245221256 3491556526570 6983113053140 13966226106280