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14155011055141 = 1123541607317029
BaseRepresentation
bin1100110111111011100001…
…1001111101111000100101
31212010012120001120102222221
43031332320121331320211
53323403430312231031
650034420003552341
72660444240522035
oct315767031757045
955105501512887
1014155011055141
1145681197a1720
12170740468b6b1
137b8a72732b98
1436d16b55b8c5
1519830e8b9a11
hexcdfb867de25

14155011055141 has 32 divisors (see below), whose sum is σ = 16146604581120. Its totient is φ = 12283209100800.

The previous prime is 14155011055139. The next prime is 14155011055147.

14155011055141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14155011055141 - 21 = 14155011055139 is a prime.

It is a super-2 number, since 2×141550110551412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14155011055097 and 14155011055106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14155011055147) 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, 831221215 + ... + 831238243.

It is an arithmetic number, because the mean of its divisors is an integer number (504581393160).

Almost surely, 214155011055141 is an apocalyptic number.

14155011055141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14155011055141 is a deficient number, since it is larger than the sum of its proper divisors (1991593525979).

14155011055141 is a wasteful number, since it uses less digits than its factorization.

14155011055141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23677.

The product of its (nonzero) digits is 10000, while the sum is 34.

The spelling of 14155011055141 in words is "fourteen trillion, one hundred fifty-five billion, eleven million, fifty-five thousand, one hundred forty-one".

Divisors: 1 11 23 253 541 5951 6073 12443 17029 66803 136873 139679 187319 391667 1536469 3285493 4308337 9212689 36140423 75566339 101339579 103417117 211891847 831229729 1137588287 2330810317 2378593691 26164530601 55948660297 615435263267 1286819186831 14155011055141