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1128942144 = 26331159393
BaseRepresentation
bin100001101001010…
…0100101001000000
32220200022012111000
41003102210221000
54303002122034
6304005052000
736655564341
oct10322445100
92820265430
101128942144
1152a292a40
122760b7000
1314cb75305
14a9d140c8
15691a1599
hex434a4a40

1128942144 has 112 divisors (see below), whose sum is σ = 3620658240. Its totient is φ = 342097920.

The previous prime is 1128942107. The next prime is 1128942223. The reversal of 1128942144 is 4412498211.

1128942144 is a `hidden beast` number, since 112 + 89 + 421 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1128942099 and 1128942108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10689 + ... + 48704.

Almost surely, 21128942144 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 1128942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810329120).

1128942144 is an abundant number, since it is smaller than the sum of its proper divisors (2491716096).

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

1128942144 is a wasteful number, since it uses less digits than its factorization.

1128942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59425 (or 59409 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1128942144 is about 33599.7342846636. The cubic root of 1128942144 is about 1041.2553086558.

The spelling of 1128942144 in words is "one billion, one hundred twenty-eight million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 59393 118786 178179 237572 356358 475144 534537 653323 712716 950288 1069074 1306646 1425432 1603611 1900576 1959969 2138148 2613292 2850864 3207222 3801152 3919938 4276296 5226584 5701728 5879907 6414444 7839876 8552592 10453168 11403456 11759814 12828888 15679752 17105184 17639721 20906336 23519628 25657776 31359504 34210368 35279442 41812672 47039256 51315552 62719008 70558884 94078512 102631104 125438016 141117768 188157024 282235536 376314048 564471072 1128942144