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54441132240 = 243511101320357
BaseRepresentation
bin110010101100111100…
…011100000011010000
312012112002121001202010
4302230330130003100
51342443412212430
641002050222520
73635046663105
oct625474340320
9165462531663
1054441132240
11210a7666480
12a674284a40
135197ba4a21
1428c64b4aac
151639705cb0
hexcacf1c0d0

54441132240 has 160 divisors (see below), whose sum is σ = 184300811136. Its totient is φ = 13184174080.

The previous prime is 54441132233. The next prime is 54441132241. The reversal of 54441132240 is 4223114445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54441132198 and 54441132207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54441132241) 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, 2664142 + ... + 2684498.

Almost surely, 254441132240 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 54441132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92150405568).

54441132240 is an abundant number, since it is smaller than the sum of its proper divisors (129859678896).

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

54441132240 is a wasteful number, since it uses less digits than its factorization.

54441132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21397 (or 21391 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 54441132240 its reverse (4223114445), we get a palindrome (58664246685).

It can be divided in two parts, 54441 and 132240, that added together give a palindrome (186681).

The spelling of 54441132240 in words is "fifty-four billion, four hundred forty-one million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1013 1320 2026 2640 3039 4052 5065 6078 8104 10130 11143 12156 15195 16208 20260 20357 22286 24312 30390 33429 40520 40714 44572 48624 55715 60780 61071 66858 81040 81428 89144 101785 111430 121560 122142 133716 162856 167145 178288 203570 222860 223927 243120 244284 267432 305355 325712 334290 407140 445720 447854 488568 534864 610710 668580 671781 814280 891440 895708 977136 1119635 1221420 1337160 1343562 1628560 1791416 2239270 2442840 2674320 2687124 3358905 3582832 4478540 4885680 5374248 6717810 8957080 10748496 13435620 17914160 20621641 26871240 41243282 53742480 61864923 82486564 103108205 123729846 164973128 206216410 226838051 247459692 309324615 329946256 412432820 453676102 494919384 618649230 680514153 824865640 907352204 989838768 1134190255 1237298460 1361028306 1649731280 1814704408 2268380510 2474596920 2722056612 3402570765 3629408816 4536761020 4949193840 5444113224 6805141530 9073522040 10888226448 13610283060 18147044080 27220566120 54441132240