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5141360278296 = 23331119113888009
BaseRepresentation
bin100101011010001000011…
…1100111111101100011000
3200012111202020102022012000
41022310100330333230120
51133214001212401141
614533524105521000
71040310462205314
oct112642074775430
920174666368160
105141360278296
111702490929940
126b051b1a3160
132b3a9c707a58
1413abb3906b44
158db12a8d5b6
hex4ad10f3fb18

5141360278296 has 128 divisors (see below), whose sum is σ = 16399873440000. Its totient is φ = 1475988583680.

The previous prime is 5141360278291. The next prime is 5141360278303. The reversal of 5141360278296 is 6928720631415.

It is a happy number.

5141360278296 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 3 + 602 + 7 + 8 + 29 + 6 = 666.

It is a super-2 number, since 2×51413602782962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141360278291) 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, 56898861 + ... + 56989148.

It is an arithmetic number, because the mean of its divisors is an integer number (128124011250).

It is a 1-persistent number, because it is pandigital, but 2⋅5141360278296 = 10282720556592 is not.

Almost surely, 25141360278296 is an apocalyptic number.

It is an amenable number.

5141360278296 is an abundant number, since it is smaller than the sum of its proper divisors (11258513161704).

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

5141360278296 is a wasteful number, since it uses less digits than its factorization.

5141360278296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113888054 (or 113888044 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5141360278296 in words is "five trillion, one hundred forty-one billion, three hundred sixty million, two hundred seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 342 396 418 456 513 594 627 684 792 836 1026 1188 1254 1368 1672 1881 2052 2376 2508 3762 4104 5016 5643 7524 11286 15048 22572 45144 113888009 227776018 341664027 455552036 683328054 911104072 1024992081 1252768099 1366656108 2049984162 2163872171 2505536198 2733312216 3074976243 3758304297 4099968324 4327744342 5011072396 6149952486 6491616513 7516608594 8199936648 8655488684 10022144792 11274912891 12299904972 12983233026 15033217188 17310977368 19474849539 22549825782 23802593881 24599809944 25966466052 30066434376 33824738673 38949699078 45099651564 47605187762 51932932104 58424548617 67649477346 71407781643 77899398156 90199303128 95210375524 116849097234 135298954692 142815563286 155798796312 190420751048 214223344929 233698194468 270597909384 285631126572 428446689858 467396388936 571262253144 642670034787 856893379716 1285340069574 1713786759432 2570680139148 5141360278296