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1053322144 = 25741114691
BaseRepresentation
bin111110110010000…
…110101110100000
32201102000022100021
4332302012232200
54124122302034
6252304203224
735050043020
oct7662065640
92642008307
101053322144
114a0633576
12254909514
1313a2b9754
149dc6ba80
15627156b4
hex3ec86ba0

1053322144 has 48 divisors (see below), whose sum is σ = 2427800256. Its totient is φ = 440409600.

The previous prime is 1053322129. The next prime is 1053322157. The reversal of 1053322144 is 4412233501.

1053322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10533221442 = 2218975078081513472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48162 + ... + 66529.

It is an arithmetic number, because the mean of its divisors is an integer number (50579172).

Almost surely, 21053322144 is an apocalyptic number.

1053322144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1053322144 is an abundant number, since it is smaller than the sum of its proper divisors (1374478112).

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

1053322144 is a wasteful number, since it uses less digits than its factorization.

1053322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114749 (or 114741 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1053322144 is about 32454.9248034871. The cubic root of 1053322144 is about 1017.4671695645.

Adding to 1053322144 its reverse (4412233501), we get a palindrome (5465555645).

The spelling of 1053322144 in words is "one billion, fifty-three million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 114691 229382 458764 802837 917528 1605674 1835056 3211348 3670112 4702331 6422696 9404662 12845392 18809324 25690784 32916317 37618648 65832634 75237296 131665268 150474592 263330536 526661072 1053322144