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14123766732141 = 31117372812421473
BaseRepresentation
bin1100110110000111001000…
…0110010101010101101101
31212000012220120212101100210
43031201302012111111231
53322400433240412031
650012211401413033
72655260051253243
oct315416206252555
955005816771323
1014123766732141
114555946129380
121701344a9a179
137b5b336281b1
1436b845b66793
151975d18ec746
hexcd87219556d

14123766732141 has 64 divisors (see below), whose sum is σ = 22419517291776. Its totient is φ = 7810700083200.

The previous prime is 14123766732139. The next prime is 14123766732161.

14123766732141 is nontrivially palindromic in base 10.

14123766732141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14123766732141 - 21 = 14123766732139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123766732161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4621981 + ... + 7043453.

It is an arithmetic number, because the mean of its divisors is an integer number (350304957684).

Almost surely, 214123766732141 is an apocalyptic number.

14123766732141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14123766732141 is a deficient number, since it is larger than the sum of its proper divisors (8295750559635).

14123766732141 is a wasteful number, since it uses less digits than its factorization.

14123766732141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421822.

The product of its digits is 1016064, while the sum is 48.

The spelling of 14123766732141 in words is "fourteen trillion, one hundred twenty-three billion, seven hundred sixty-six million, seven hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 37 51 111 187 281 407 561 629 843 1221 1887 3091 4777 6919 9273 10397 14331 20757 31191 52547 114367 157641 176749 343101 530247 1944239 2421473 5832717 7264419 26636203 41165041 79908609 89594501 123495123 268783503 452815451 680433913 985539511 1358446353 1523106517 2041301739 2956618533 4569319551 7484773043 11567376521 16754171687 22454319129 25176054781 34702129563 50262515061 75528164343 127241141731 276936602591 381723425193 427992931277 830809807773 1283978793831 4707922244047 14123766732141