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54220143142240 = 255735783802721
BaseRepresentation
bin11000101010000000111000…
…10111110010010101100000
321002222101200000000022001121
430111000130113302111200
524101320323121022430
6311152220114542024
714264163456313405
oct1425003427622540
9232871600008047
1054220143142240
11163046a7318849
1260b8288297914
132433c25a82b4a
14d563a9d322ac
156405cc682a7a
hex31501c5f2560

54220143142240 has 96 divisors (see below), whose sum is σ = 129872430910656. Its totient is φ = 21387235000320.

The previous prime is 54220143142177. The next prime is 54220143142241. The reversal of 54220143142240 is 4224134102245.

It is a junction number, because it is equal to n+sod(n) for n = 54220143142196 and 54220143142205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54220143142241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67144080 + ... + 67946800.

It is an arithmetic number, because the mean of its divisors is an integer number (1352837821986).

Almost surely, 254220143142240 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 54220143142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64936215455328).

54220143142240 is an abundant number, since it is smaller than the sum of its proper divisors (75652287768416).

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

54220143142240 is a wasteful number, since it uses less digits than its factorization.

54220143142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808592 (or 808584 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 54220143142240 its reverse (4224134102245), we get a palindrome (58444277244485).

The spelling of 54220143142240 in words is "fifty-four trillion, two hundred twenty billion, one hundred forty-three million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5783 5840 11566 11680 23132 28915 46264 57830 92528 115660 185056 231320 422159 462640 802721 844318 925280 1605442 1688636 2110795 3210884 3377272 4013605 4221590 6421768 6754544 8027210 8443180 12843536 13509088 16054420 16886360 25687072 32108840 33772720 58598633 64217680 67545440 117197266 128435360 234394532 292993165 468789064 585986330 937578128 1171972660 1875156256 2343945320 4642135543 4687890640 9284271086 9375781280 18568542172 23210677715 37137084344 46421355430 74274168688 92842710860 148548337376 185685421720 338875894639 371370843440 677751789278 742741686880 1355503578556 1694379473195 2711007157112 3388758946390 5422014314224 6777517892780 10844028628448 13555035785560 27110071571120 54220143142240