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1024221240054 = 233107389455687
BaseRepresentation
bin11101110011110000101…
…01111101101011110110
310121220200201221220111000
432321320111331223312
5113240101114140204
62102304251424130
7133666104616155
oct16717025755366
93556621856430
101024221240054
11365408209061
12146601755046
1375778377b4c
14378031d359c
151b997daa039
hexee7857daf6

1024221240054 has 64 divisors (see below), whose sum is σ = 2303229427200. Its totient is φ = 337346168544.

The previous prime is 1024221240047. The next prime is 1024221240059. The reversal of 1024221240054 is 4500421224201.

It is a happy number.

1024221240054 is a `hidden beast` number, since 1 + 0 + 2 + 42 + 212 + 400 + 5 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024221240059) 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, 2019799 + ... + 2475485.

It is an arithmetic number, because the mean of its divisors is an integer number (35987959800).

Almost surely, 21024221240054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024221240054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151614713600).

1024221240054 is an abundant number, since it is smaller than the sum of its proper divisors (1279008187146).

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

1024221240054 is a wasteful number, since it uses less digits than its factorization.

1024221240054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456194 (or 456188 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1024221240054 its reverse (4500421224201), we get a palindrome (5524642464255).

The spelling of 1024221240054 in words is "one trillion, twenty-four billion, two hundred twenty-one million, two hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 389 642 778 963 1167 1926 2334 2889 3501 5778 7002 10503 21006 41623 83246 124869 249738 374607 455687 749214 911374 1123821 1367061 2247642 2734122 4101183 8202366 12303549 24607098 48758509 97517018 146275527 177262243 292551054 354524486 438826581 531786729 877653162 1063573458 1316479743 1595360187 2632959486 3190720374 4786080561 9572161122 18967060001 37934120002 56901180003 113802360006 170703540009 341407080018 512110620027 1024221240054