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54310341150440 = 23537317902912821
BaseRepresentation
bin11000101100101000111001…
…00101111000011011101000
321010022000111001110212100222
430112110130211320123220
524104310034313303230
6311301454251145212
714303535611610344
oct1426243445703350
9233260431425328
1054310341150440
1116339982791381
12611185b445208
13243c59b91292b
14d5a8c5254624
15642b0b0c36e5
hex31651c9786e8

54310341150440 has 128 divisors (see below), whose sum is σ = 125920589709600. Its totient is φ = 21066342543360.

The previous prime is 54310341150431. The next prime is 54310341150469. The reversal of 54310341150440 is 4405114301345.

It can be written as a sum of positive squares in 16 ways, for example, as 7245884145124 + 47064457005316 = 2691818^2 + 6860354^2 .

It is a super-2 number, since 2×543103411504402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54310341150440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236039230 + ... + 4236052050.

Almost surely, 254310341150440 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 54310341150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62960294854800).

54310341150440 is an abundant number, since it is smaller than the sum of its proper divisors (71610248559160).

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

54310341150440 is a wasteful number, since it uses less digits than its factorization.

54310341150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22215 (or 22211 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 54310341150440 its reverse (4405114301345), we get a palindrome (58715455451785).

The spelling of 54310341150440 in words is "fifty-four trillion, three hundred ten billion, three hundred forty-one million, one hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 317 370 634 740 1268 1480 1585 2536 3170 6340 9029 11729 12680 12821 18058 23458 25642 36116 45145 46916 51284 58645 64105 72232 90290 93832 102568 117290 128210 180580 234580 256420 334073 361160 469160 474377 512840 668146 948754 1336292 1670365 1897508 2371885 2672584 2862193 3340730 3795016 4064257 4743770 5724386 6681460 8128514 9487540 11448772 13362920 14310965 16257028 18975080 20321285 22897544 28621930 32514056 40642570 57243860 81285140 105901141 114487720 115760809 150377509 162570280 211802282 231521618 300755018 423604564 463043236 529505705 578804045 601510036 751887545 847209128 926086472 1059011410 1157608090 1203020072 1503775090 2118022820 2315216180 3007550180 4236045640 4283149933 4630432360 6015100360 8566299866 17132599732 21415749665 34265199464 36696176453 42831499330 73392352906 85662998660 146784705812 171325997320 183480882265 293569411624 366961764530 733923529060 1357758528761 1467847058120 2715517057522 5431034115044 6788792643805 10862068230088 13577585287610 27155170575220 54310341150440