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10142400622224 = 2431316253847151
BaseRepresentation
bin1001001110010111011000…
…1011111010111010010000
31022220121022100010101011210
42103211312023322322100
52312133114024402344
633323204324340120
72064523066561233
oct223456613727220
938817270111153
1010142400622224
113260405815172
1211797b9544640
13587569193430
14270c754dd41a
15128c617aedb9
hex939762fae90

10142400622224 has 40 divisors (see below), whose sum is σ = 28216678655872. Its totient is φ = 3120738652800.

The previous prime is 10142400622213. The next prime is 10142400622261. The reversal of 10142400622224 is 42222600424101.

It is a junction number, because it is equal to n+sod(n) for n = 10142400622191 and 10142400622200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8126922952 + ... + 8126924199.

Almost surely, 210142400622224 is an apocalyptic number.

It is an amenable number.

10142400622224 is an abundant number, since it is smaller than the sum of its proper divisors (18074278033648).

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

10142400622224 is a wasteful number, since it uses less digits than its factorization.

10142400622224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253847175 (or 16253847169 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 10142400622224 in words is "ten trillion, one hundred forty-two billion, four hundred million, six hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 16253847151 32507694302 48761541453 65015388604 97523082906 130030777208 195046165812 211300012963 260061554416 390092331624 422600025926 633900038889 780184663248 845200051852 1267800077778 1690400103704 2535600155556 3380800207408 5071200311112 10142400622224