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5644531440 = 243353836823
BaseRepresentation
bin1010100000111000…
…01011011011110000
3112120101011220111000
411100130023123300
543030000001230
62332033522000
7256606503612
oct52034133360
915511156430
105644531440
112437211019
121116413300
136bc549742
143b791adb2
1523081db60
hex15070b6f0

5644531440 has 160 divisors (see below), whose sum is σ = 19495895040. Its totient is φ = 1501058304.

The previous prime is 5644531433. The next prime is 5644531447. The reversal of 5644531440 is 441354465.

5644531440 is a `hidden beast` number, since 5 + 64 + 453 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5644531433) and next prime (5644531447).

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

It is a junction number, because it is equal to n+sod(n) for n = 5644531395 and 5644531404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5644531447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823869 + ... + 830691.

It is an arithmetic number, because the mean of its divisors is an integer number (121849344).

Almost surely, 25644531440 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 5644531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9747947520).

5644531440 is an abundant number, since it is smaller than the sum of its proper divisors (13851363600).

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

5644531440 is a wasteful number, since it uses less digits than its factorization.

5644531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5644531440 is about 75130.0967655440. The cubic root of 5644531440 is about 1780.5026817441.

The spelling of 5644531440 in words is "five billion, six hundred forty-four million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 383 432 540 720 766 1080 1149 1532 1915 2160 2298 3064 3447 3830 4596 5745 6128 6823 6894 7660 9192 10341 11490 13646 13788 15320 17235 18384 20469 20682 22980 27292 27576 30640 34115 34470 40938 41364 45960 51705 54584 55152 61407 68230 68940 81876 82728 91920 102345 103410 109168 122814 136460 137880 163752 165456 184221 204690 206820 245628 272920 275760 307035 327504 368442 409380 413640 491256 545840 614070 736884 818760 827280 921105 982512 1228140 1473768 1637520 1842210 2456280 2613209 2947536 3684420 4912560 5226418 7368840 7839627 10452836 13066045 14737680 15679254 20905672 23518881 26132090 31358508 39198135 41811344 47037762 52264180 62717016 70556643 78396270 94075524 104528360 117594405 125434032 141113286 156792540 188151048 209056720 235188810 282226572 313585080 352783215 376302096 470377620 564453144 627170160 705566430 940755240 1128906288 1411132860 1881510480 2822265720 5644531440