Search a number
-
+
14100546061041 = 31121011033733969
BaseRepresentation
bin1100110100110000101000…
…0010100000001011110001
31211220222222022002001221020
43031030022002200023301
53322010404242423131
645553411302050053
72653505450643546
oct315141202401361
954828868061836
1014100546061041
11454700a718500
1216b8944419929
137b38a292501b
1436a681c34bcd
15196bc304d996
hexcd30a0a02f1

14100546061041 has 48 divisors (see below), whose sum is σ = 21072495400320. Its totient is φ = 8379024192000.

The previous prime is 14100546060967. The next prime is 14100546061057. The reversal of 14100546061041 is 14016064500141.

It is not a de Polignac number, because 14100546061041 - 225 = 14100512506609 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 14100546060993 and 14100546061011.

It is not an unprimeable number, because it can be changed into a prime (14100546061061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909305 + ... + 5643273.

It is an arithmetic number, because the mean of its divisors is an integer number (439010320840).

Almost surely, 214100546061041 is an apocalyptic number.

14100546061041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14100546061041 is a deficient number, since it is larger than the sum of its proper divisors (6971949339279).

14100546061041 is a wasteful number, since it uses less digits than its factorization.

14100546061041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734198 (or 3734187 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 14100546061041 in words is "fourteen trillion, one hundred billion, five hundred forty-six million, sixty-one thousand, forty-one".

Divisors: 1 3 11 33 101 103 121 303 309 363 1111 1133 3333 3399 10403 12221 12463 31209 36663 37389 114433 343299 1258763 3733969 3776289 11201907 41073659 123220977 377130869 384598807 451810249 1131392607 1153796421 1355430747 4148439559 4230586877 12445318677 12691760631 38844479507 45632835149 46536455647 116533438521 136898505447 139609366941 427289274577 1281867823731 4700182020347 14100546061041