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5444653440 = 273513121647
BaseRepresentation
bin1010001001000011…
…01101000110000000
3112001110002001102010
411010201231012000
542122312402230
62300133452520
7251631535122
oct50441550600
915043061363
105444653440
112344401796
12107b4a1140
1368a005b35
1439916b212
1521ceda9b0
hex14486d180

5444653440 has 128 divisors (see below), whose sum is σ = 17488120320. Its totient is φ = 1440757760.

The previous prime is 5444653429. The next prime is 5444653447. The reversal of 5444653440 is 443564445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5444653447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240697 + ... + 262343.

It is an arithmetic number, because the mean of its divisors is an integer number (136625940).

Almost surely, 25444653440 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 5444653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744060160).

5444653440 is an abundant number, since it is smaller than the sum of its proper divisors (12043466880).

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

5444653440 is a wasteful number, since it uses less digits than its factorization.

5444653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21800 (or 21788 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The square root of 5444653440 is about 73787.8949421922. The cubic root of 5444653440 is about 1759.2332059178.

The spelling of 5444653440 in words is "five billion, four hundred forty-four million, six hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 262 320 384 393 480 524 640 655 786 960 1048 1310 1572 1920 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 16768 20960 21647 25152 31440 41920 43294 50304 62880 64941 83840 86588 108235 125760 129882 173176 216470 251520 259764 324705 346352 432940 519528 649410 692704 865880 1039056 1298820 1385408 1731760 2078112 2597640 2770816 2835757 3463520 4156224 5195280 5671514 6927040 8312448 8507271 10390560 11343028 13854080 14178785 17014542 20781120 22686056 28357570 34029084 41562240 42536355 45372112 56715140 68058168 85072710 90744224 113430280 136116336 170145420 181488448 226860560 272232672 340290840 362976896 453721120 544465344 680581680 907442240 1088930688 1361163360 1814884480 2722326720 5444653440