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5301511240144 = 247192647202661
BaseRepresentation
bin100110100100101101010…
…1100011011100111010000
3200202211010102201002220111
41031021122230123213100
51143324443334141034
615135251452451104
71055010251005450
oct115113254334720
920684112632814
105301511240144
1117643a3980959
12717575479a94
132c5c1301c2c2
141448474b5d60
1592d878ea364
hex4d25ab1b9d0

5301511240144 has 120 divisors (see below), whose sum is σ = 12408634332288. Its totient is φ = 2149155797760.

The previous prime is 5301511240121. The next prime is 5301511240183. The reversal of 5301511240144 is 4410421151035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26058174 + ... + 26260834.

Almost surely, 25301511240144 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 5301511240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204317166144).

5301511240144 is an abundant number, since it is smaller than the sum of its proper divisors (7107123092144).

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

5301511240144 is a wasteful number, since it uses less digits than its factorization.

5301511240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203361 (or 203336 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 5301511240144 its reverse (4410421151035), we get a palindrome (9711932391179).

The spelling of 5301511240144 in words is "five trillion, three hundred one billion, five hundred eleven million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 361 532 647 722 1064 1294 1444 2128 2527 2588 2888 4529 5054 5176 5776 9058 10108 10352 12293 18116 20216 24586 36232 40432 49172 72464 86051 98344 172102 196688 202661 233567 344204 405322 467134 688408 810644 934268 1376816 1418627 1621288 1634969 1868536 2837254 3242576 3269938 3737072 3850559 5674508 6539876 7701118 11349016 13079752 15402236 22698032 26159504 26953913 30804472 53907826 61608944 73160621 107815652 131121667 146321242 215631304 262243334 292642484 431262608 512124347 524486668 585284968 917851669 1024248694 1048973336 1170569936 1835703338 2048497388 2097946672 2491311673 3671406676 4096994776 4982623346 7342813352 8193989552 9965246692 14685626704 17439181711 19930493384 34878363422 39860986768 47334921787 69756726844 94669843574 139513453688 189339687148 279026907376 331344452509 378679374296 662688905018 757358748592 1325377810036 2650755620072 5301511240144