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5144705412 = 22372112334583
BaseRepresentation
bin1001100101010010…
…11111100110000100
3111021112200010001220
410302221133212010
541014021033122
62210300520340
7241330163100
oct46251374604
914245603056
105144705412
112200063360
12bb6b500b0
1363cb258b2
1436b3ac900
152019dc25c
hex132a5f984

5144705412 has 144 divisors (see below), whose sum is σ = 15896466432. Its totient is φ = 1278150720.

The previous prime is 5144705383. The next prime is 5144705429. The reversal of 5144705412 is 2145074415.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 131473 + ... + 166055.

It is an arithmetic number, because the mean of its divisors is an integer number (110392128).

Almost surely, 25144705412 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 5144705412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948233216).

5144705412 is an abundant number, since it is smaller than the sum of its proper divisors (10751761020).

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

5144705412 is a wasteful number, since it uses less digits than its factorization.

5144705412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34629 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5144705412 is about 71726.6018433886. The cubic root of 5144705412 is about 1726.3155028091.

Adding to 5144705412 its reverse (2145074415), we get a palindrome (7289779827).

The spelling of 5144705412 in words is "five billion, one hundred forty-four million, seven hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 49 66 69 77 84 92 98 132 138 147 154 161 196 231 253 276 294 308 322 462 483 506 539 588 644 759 924 966 1012 1078 1127 1518 1617 1771 1932 2156 2254 3036 3234 3381 3542 4508 5313 6468 6762 7084 10626 12397 13524 21252 24794 34583 37191 49588 69166 74382 103749 138332 148764 207498 242081 380413 414996 484162 726243 760826 795409 968324 1141239 1452486 1521652 1590818 1694567 2282478 2386227 2662891 2904972 3181636 3389134 4564956 4772454 5083701 5325782 5567863 6778268 7988673 8749499 9544908 10167402 10651564 11135726 15977346 16703589 17498998 18640237 20334804 22271452 26248497 31954692 33407178 34997996 37280474 38975041 52496994 55920711 61246493 66814356 74560948 77950082 104993988 111841422 116925123 122492986 155900164 183739479 223682844 233850246 244985972 367478958 428725451 467700492 734957916 857450902 1286176353 1714901804 2572352706 5144705412