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114381211737 = 31337517115329
BaseRepresentation
bin110101010000110100…
…1101100100001011001
3101221020102102121000110
41222201221230201121
53333223042233422
6124313534154533
711156321154342
oct1524151544131
9357212377013
10114381211737
1144566237361
121a202052a49
13aa2b0b21a0
14577100b0c9
152e96a6e60c
hex1aa1a6c859

114381211737 has 32 divisors (see below), whose sum is σ = 168722225280. Its totient is φ = 68468336640.

The previous prime is 114381211729. The next prime is 114381211781. The reversal of 114381211737 is 737112183411.

It is not a de Polignac number, because 114381211737 - 23 = 114381211729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 114381211695 and 114381211704.

It is not an unprimeable number, because it can be changed into a prime (114381211037) 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 31 ways as a sum of consecutive naturals, for example, 7454089 + ... + 7469417.

It is an arithmetic number, because the mean of its divisors is an integer number (5272569540).

Almost surely, 2114381211737 is an apocalyptic number.

It is an amenable number.

114381211737 is a deficient number, since it is larger than the sum of its proper divisors (54341013543).

114381211737 is a wasteful number, since it uses less digits than its factorization.

114381211737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20553.

The product of its digits is 28224, while the sum is 39.

The spelling of 114381211737 in words is "one hundred fourteen billion, three hundred eighty-one million, two hundred eleven thousand, seven hundred thirty-seven".

Divisors: 1 3 13 37 39 111 481 1443 5171 15329 15513 45987 67223 191327 199277 201669 567173 573981 597831 1701519 2487251 7373249 7461753 22119747 79266259 237798777 1030461367 2932851583 3091384101 8798554749 38127070579 114381211737