Search a number
-
+
114122087345 = 5741734872237
BaseRepresentation
bin110101001001000110…
…1001101101110110001
3101220120100211201011202
41222102031031232301
53332210223243340
6124232120220545
711150023510550
oct1522215155661
9356510751152
10114122087345
1144442a41372
121a14b30a755
13a9b94c6646
145748837d97
152e7de36c15
hex1a9234dbb1

114122087345 has 64 divisors (see below), whose sum is σ = 162930410496. Its totient is φ = 75112427520.

The previous prime is 114122087327. The next prime is 114122087377. The reversal of 114122087345 is 543780221411.

It is a happy number.

It is not a de Polignac number, because 114122087345 - 222 = 114117893041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114122087299 and 114122087308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51014567 + ... + 51016803.

It is an arithmetic number, because the mean of its divisors is an integer number (2545787664).

Almost surely, 2114122087345 is an apocalyptic number.

It is an amenable number.

114122087345 is a deficient number, since it is larger than the sum of its proper divisors (48808323151).

114122087345 is a wasteful number, since it uses less digits than its factorization.

114122087345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 114122087345 in words is "one hundred fourteen billion, one hundred twenty-two million, eighty-seven thousand, three hundred forty-five".

Divisors: 1 5 7 35 41 73 205 287 365 487 511 1435 2237 2435 2555 2993 3409 11185 14965 15659 17045 19967 20951 35551 78295 91717 99835 104755 139769 163301 177755 248857 458585 642019 698845 816505 1089419 1143107 1244285 1457591 3210095 5447095 5715535 6695341 7287955 7625933 10203137 33476705 38129665 44666179 46867387 51015685 79527587 223330895 234336935 312663253 397637935 556693109 1563316265 2783465545 3260631067 16303155335 22824417469 114122087345