Search a number
-
+
114214131324 = 22342273155087
BaseRepresentation
bin110101001011110110…
…0010101011001111100
3101220210210001000210000
41222113230111121330
53332402304200244
6124245205114300
711152222045416
oct1522754253174
9356723030700
10114214131324
114448a999377
121a1760b8990
13aa025b2a37
145756b579b6
152e87069169
hex1a97b1567c

114214131324 has 60 divisors (see below), whose sum is σ = 298711584864. Its totient is φ = 38054382336.

The previous prime is 114214131323. The next prime is 114214131337. The reversal of 114214131324 is 423131412411.

It is a happy number.

114214131324 is a `hidden beast` number, since 114 + 2 + 1 + 413 + 132 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114214131323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658909 + ... + 813995.

Almost surely, 2114214131324 is an apocalyptic number.

It is an amenable number.

114214131324 is an abundant number, since it is smaller than the sum of its proper divisors (184497453540).

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

114214131324 is a wasteful number, since it uses less digits than its factorization.

114214131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157376 (or 157365 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114214131324 its reverse (423131412411), we get a palindrome (537345543735).

The spelling of 114214131324 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2273 4546 6819 9092 13638 20457 27276 40914 61371 81828 122742 155087 184113 245484 310174 368226 465261 620348 736452 930522 1395783 1861044 2791566 4187349 5583132 8374698 12562047 16749396 25124094 50248188 352512751 705025502 1057538253 1410051004 2115076506 3172614759 4230153012 6345229518 9517844277 12690459036 19035688554 28553532831 38071377108 57107065662 114214131324