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71420112288 = 2533721686983
BaseRepresentation
bin100001010000011111…
…0000110110110100000
320211100101112121201000
41002200332012312200
52132232022043123
652450540512000
75105566636500
oct1024076066640
9224311477630
1071420112288
112831a878498
1211a1254b600
136972718695
143657481a00
151cd0129b43
hex10a0f86da0

71420112288 has 144 divisors (see below), whose sum is σ = 242318381760. Its totient is φ = 20405734272.

The previous prime is 71420112251. The next prime is 71420112289. The reversal of 71420112288 is 88221102417.

It is a happy number.

71420112288 is a `hidden beast` number, since 7 + 1 + 420 + 1 + 1 + 228 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (71420112289) 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, 801156 + ... + 885827.

It is an arithmetic number, because the mean of its divisors is an integer number (1682766540).

Almost surely, 271420112288 is an apocalyptic number.

It is an amenable number.

71420112288 is an abundant number, since it is smaller than the sum of its proper divisors (170898269472).

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

71420112288 is a wasteful number, since it uses less digits than its factorization.

71420112288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687016 (or 1686995 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 71420112288 in words is "seventy-one billion, four hundred twenty million, one hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1686983 3373966 5060949 6747932 10121898 11808881 13495864 15182847 20243796 23617762 26991728 30365694 35426643 40487592 45548541 47235524 53983456 60731388 70853286 80975184 82662167 91097082 94471048 106279929 121462776 141706572 161950368 165324334 182194164 188942096 212559858 242925552 247986501 283413144 318839787 330648668 364388328 377884192 425119716 485851104 495973002 566826288 637679574 661297336 728776656 743959503 850239432 991946004 1133652576 1275359148 1322594672 1457553312 1487919006 1700478864 1983892008 2231878509 2550718296 2645189344 2975838012 3400957728 3967784016 4463757018 5101436592 5951676024 7935568032 8927514036 10202873184 11903352048 17855028072 23806704096 35710056144 71420112288