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142104032224 = 2571157672091
BaseRepresentation
bin1000010001011000001…
…1110111001111100000
3111120210110210210100121
42010112003313033200
54312012113012344
6145140502330024
713160320226020
oct2042603671740
9446713723317
10142104032224
11552a2026750
122365a429914
131052876228b
146c40c47a80
153a6a7d3684
hex21160f73e0

142104032224 has 48 divisors (see below), whose sum is σ = 348800812416. Its totient is φ = 55365206400.

The previous prime is 142104032219. The next prime is 142104032227. The reversal of 142104032224 is 422230401241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142104032227) 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 7 ways as a sum of consecutive naturals, for example, 28833582 + ... + 28838509.

It is an arithmetic number, because the mean of its divisors is an integer number (7266683592).

Almost surely, 2142104032224 is an apocalyptic number.

142104032224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142104032224 is an abundant number, since it is smaller than the sum of its proper divisors (206696780192).

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

142104032224 is a wasteful number, since it uses less digits than its factorization.

142104032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57672119 (or 57672111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142104032224 its reverse (422230401241), we get a palindrome (564334433465).

The spelling of 142104032224 in words is "one hundred forty-two billion, one hundred four million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 57672091 115344182 230688364 403704637 461376728 634393001 807409274 922753456 1268786002 1614818548 1845506912 2537572004 3229637096 4440751007 5075144008 6459274192 8881502014 10150288016 12918548384 17763004028 20300576032 35526008056 71052016112 142104032224