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114322431392 = 2513733764569
BaseRepresentation
bin110101001111000100…
…1011101110110100000
3101221002022211020112122
41222132021131312200
53333113020301032
6124304034243412
711155005430151
oct1523611356640
9357068736478
10114322431392
1144536039864
121a1a6426568
13aa1bb71410
1457672a9928
152e9180d012
hex1a9e25dda0

114322431392 has 48 divisors (see below), whose sum is σ = 245705954760. Its totient is φ = 52041388032.

The previous prime is 114322431347. The next prime is 114322431401. The reversal of 114322431392 is 293134223411.

It can be written as a sum of positive squares in 4 ways, for example, as 102812574736 + 11509856656 = 320644^2 + 107284^2 .

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 7 ways as a sum of consecutive naturals, for example, 1851917 + ... + 1912652.

Almost surely, 2114322431392 is an apocalyptic number.

It is an amenable number.

114322431392 is an abundant number, since it is smaller than the sum of its proper divisors (131383523368).

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

114322431392 is a wasteful number, since it uses less digits than its factorization.

114322431392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764665 (or 3764657 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The spelling of 114322431392 in words is "one hundred fourteen billion, three hundred twenty-two million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 7592 15184 30368 3764569 7529138 15058276 30116552 48939397 60233104 97878794 120466208 195757588 274813537 391515176 549627074 783030352 1099254148 1566060704 2198508296 3572575981 4397016592 7145151962 8794033184 14290303924 28580607848 57161215696 114322431392