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14131201516332 = 22319292137205311
BaseRepresentation
bin1100110110100010110100…
…1111110010001100101100
31212000221002201201112221020
43031220231033302030230
53323011200042010312
650015441230534140
72655642230010015
oct315505517621454
955027081645836
1014131201516332
11455901094681a
12170287a967350
137b6749a31194
1436bd4d34000c
151978b949b78c
hexcda2d3f232c

14131201516332 has 48 divisors (see below), whose sum is σ = 35905049241600. Its totient is φ = 4308605904960.

The previous prime is 14131201516309. The next prime is 14131201516339. The reversal of 14131201516332 is 23361510213141.

It is a junction number, because it is equal to n+sod(n) for n = 14131201516293 and 14131201516302.

It is not an unprimeable number, because it can be changed into a prime (14131201516339) 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 15 ways as a sum of consecutive naturals, for example, 1068596044 + ... + 1068609267.

It is an arithmetic number, because the mean of its divisors is an integer number (748021859200).

Almost surely, 214131201516332 is an apocalyptic number.

14131201516332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14131201516332 is an abundant number, since it is smaller than the sum of its proper divisors (21773847725268).

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

14131201516332 is a wasteful number, since it uses less digits than its factorization.

14131201516332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137205366 (or 2137205364 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 14131201516332 its reverse (23361510213141), we get a palindrome (37492711729473).

The spelling of 14131201516332 in words is "fourteen trillion, one hundred thirty-one billion, two hundred one million, five hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 6612 2137205311 4274410622 6411615933 8548821244 12823231866 25646463732 40606900909 61978954019 81213801818 121820702727 123957908038 162427603636 185936862057 243641405454 247915816076 371873724114 487282810908 743747448228 1177600126361 2355200252722 3532800379083 4710400505444 7065600758166 14131201516332