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5316441120 = 2532513128183
BaseRepresentation
bin1001111001110001…
…00111010000100000
3111201111211012011200
410330320213100200
541342002103440
62235313441200
7245514001224
oct47470472040
914644735150
105316441120
112288aa09a1
121044570200
13669594c63
14386114784
15211b11c30
hex13ce27420

5316441120 has 144 divisors (see below), whose sum is σ = 18281495232. Its totient is φ = 1406845440.

The previous prime is 5316441103. The next prime is 5316441121. The reversal of 5316441120 is 211446135.

It is a happy number.

5316441120 is a `hidden beast` number, since 5 + 3 + 1 + 644 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5316441121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174549 + ... + 202731.

It is an arithmetic number, because the mean of its divisors is an integer number (126954828).

Almost surely, 25316441120 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 5316441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140747616).

5316441120 is an abundant number, since it is smaller than the sum of its proper divisors (12965054112).

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

5316441120 is a wasteful number, since it uses less digits than its factorization.

5316441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28335 (or 28324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5316441120 is about 72913.9295333889. The cubic root of 5316441120 is about 1745.3143901430.

Adding to 5316441120 its reverse (211446135), we get a palindrome (5527887255).

The spelling of 5316441120 in words is "five billion, three hundred sixteen million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 360 393 480 524 655 720 786 1048 1179 1310 1440 1572 1965 2096 2358 2620 3144 3930 4192 4716 5240 5895 6288 7860 9432 10480 11790 12576 15720 18864 20960 23580 28183 31440 37728 47160 56366 62880 84549 94320 112732 140915 169098 188640 225464 253647 281830 338196 422745 450928 507294 563660 676392 845490 901856 1014588 1127320 1268235 1352784 1690980 2029176 2254640 2536470 2705568 3381960 3691973 4058352 4509280 5072940 6763920 7383946 8116704 10145880 11075919 13527840 14767892 18459865 20291760 22151838 29535784 33227757 36919730 40583520 44303676 55379595 59071568 66455514 73839460 88607352 110759190 118143136 132911028 147678920 166138785 177214704 221518380 265822056 295357840 332277570 354429408 443036760 531644112 590715680 664555140 886073520 1063288224 1329110280 1772147040 2658220560 5316441120