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1053324144 = 2432471031511
BaseRepresentation
bin111110110010000…
…111001101110000
32201102000102002100
4332302013031300
54124122333034
6252304220400
735050051605
oct7662071560
92642012070
101053324144
114a0635024
1225490a700
1313a2ba632
149dc6c6ac
1562716099
hex3ec87370

1053324144 has 120 divisors (see below), whose sum is σ = 3041805312. Its totient is φ = 340076160.

The previous prime is 1053324127. The next prime is 1053324163. The reversal of 1053324144 is 4414233501.

It is a happy number.

It is a super-2 number, since 2×10533241442 = 2218983504666665472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696349 + ... + 697859.

Almost surely, 21053324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

1053324144 is an abundant number, since it is smaller than the sum of its proper divisors (1988481168).

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

1053324144 is a wasteful number, since it uses less digits than its factorization.

1053324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1053324144 is about 32454.9556154372. The cubic root of 1053324144 is about 1017.4678135375.

Adding to 1053324144 its reverse (4414233501), we get a palindrome (5467557645).

The spelling of 1053324144 in words is "one billion, fifty-three million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 103 141 144 188 206 282 309 376 412 423 564 618 752 824 846 927 1128 1236 1511 1648 1692 1854 2256 2472 3022 3384 3708 4533 4841 4944 6044 6768 7416 9066 9682 12088 13599 14523 14832 18132 19364 24176 27198 29046 36264 38728 43569 54396 58092 71017 72528 77456 87138 108792 116184 142034 155633 174276 213051 217584 232368 284068 311266 348552 426102 466899 568136 622532 639153 697104 852204 933798 1136272 1245064 1278306 1400697 1704408 1867596 2490128 2556612 2801394 3408816 3735192 5113224 5602788 7314751 7470384 10226448 11205576 14629502 21944253 22411152 29259004 43888506 58518008 65832759 87777012 117036016 131665518 175554024 263331036 351108048 526662072 1053324144