Search a number
-
+
1144700700 = 22352111326683
BaseRepresentation
bin100010000111010…
…1011111100011100
32221202221211011020
41010032223330130
54321020410300
6305330524140
740236536553
oct10416537434
92852854136
101144700700
11538176640
1227b436650
13153201cc0
14ac056d9a
156a7658a0
hex443abf1c

1144700700 has 144 divisors (see below), whose sum is σ = 3891167616. Its totient is φ = 256147200.

The previous prime is 1144700693. The next prime is 1144700737. The reversal of 1144700700 is 70074411.

It is a congruent number.

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, 29559 + ... + 56241.

Almost surely, 21144700700 is an apocalyptic number.

1144700700 is a gapful number since it is divisible by the number (10) 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 1144700700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945583808).

1144700700 is an abundant number, since it is smaller than the sum of its proper divisors (2746466916).

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

1144700700 is a wasteful number, since it uses less digits than its factorization.

1144700700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26724 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 1144700700 is about 33833.4257798409. The cubic root of 1144700700 is about 1046.0777933994.

The spelling of 1144700700 in words is "one billion, one hundred forty-four million, seven hundred thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 26683 42900 53366 80049 106732 133415 160098 266830 293513 320196 346879 400245 533660 587026 667075 693758 800490 880539 1040637 1174052 1334150 1387516 1467565 1600980 1734395 1761078 2001225 2081274 2668300 2935130 3468790 3522156 3815669 4002450 4162548 4402695 5203185 5870260 6937580 7337825 7631338 8004900 8671975 8805390 10406370 11447007 14675650 15262676 17343950 17610780 19078345 20812740 22013475 22894014 26015925 29351300 34687900 38156690 44026950 45788028 52031850 57235035 76313380 88053900 95391725 104063700 114470070 190783450 228940140 286175175 381566900 572350350 1144700700