Search a number
-
+
1033030302444 = 22357166391297
BaseRepresentation
bin11110000100001010110…
…01110111101011101100
310122202102122202122100000
433002011121313223230
5113411121224134234
62110322332304300
7134430311455620
oct17020531675354
93582378678300
101033030302444
11369118747008
1214825b912090
13765503c49ba
1437ddb105180
151bd1141c899
hexf085677aec

1033030302444 has 144 divisors (see below), whose sum is σ = 3096734670848. Its totient is φ = 294970802688.

The previous prime is 1033030302419. The next prime is 1033030302503. The reversal of 1033030302444 is 4442030303301.

1033030302444 is a `hidden beast` number, since 1 + 0 + 330 + 303 + 0 + 24 + 4 + 4 = 666.

It is a super-2 number, since 2×10330303024442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11269404 + ... + 11360700.

Almost surely, 21033030302444 is an apocalyptic number.

1033030302444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033030302444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548367335424).

1033030302444 is an abundant number, since it is smaller than the sum of its proper divisors (2063704368404).

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

1033030302444 is a wasteful number, since it uses less digits than its factorization.

1033030302444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92986 (or 92972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1033030302444 its reverse (4442030303301), we get a palindrome (5475060605745).

The spelling of 1033030302444 in words is "one trillion, thirty-three billion, thirty million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1663 1701 2268 3326 3402 4989 6652 6804 9978 11641 14967 19956 23282 29934 34923 44901 46564 59868 69846 89802 91297 104769 134703 139692 179604 182594 209538 269406 273891 314307 365188 404109 419076 538812 547782 628614 639079 808218 821673 942921 1095564 1257228 1278158 1616436 1643346 1885842 1917237 2465019 2556316 2828763 3286692 3771684 3834474 4930038 5657526 5751711 7395057 7668948 9860076 11315052 11503422 14790114 17255133 22185171 23006844 29580228 34510266 44370342 51765399 69020532 88740684 103530798 151826911 155296197 207061596 303653822 310592394 455480733 607307644 621184788 910961466 1062788377 1366442199 1821922932 2125576754 2732884398 3188365131 4099326597 4251153508 5465768796 6376730262 8198653194 9565095393 12297979791 12753460524 16397306388 19130190786 24595959582 28695286179 36893939373 38260381572 49191919164 57390572358 73787878746 86085858537 114781144716 147575757492 172171717074 258257575611 344343434148 516515151222 1033030302444