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1054230042400 = 25522357295111
BaseRepresentation
bin11110101011101010000…
…00011101011100100000
310201210011002211000101221
433111311000131130200
5114233030342324100
62124150120304424
7136110542335633
oct17256500353440
93653132730357
101054230042400
11377107414457
12150397612114
137854b502622
143904c88dc1a
151c65267201a
hexf57501d720

1054230042400 has 72 divisors (see below), whose sum is σ = 2685536489664. Its totient is φ = 403357574400.

The previous prime is 1054230042367. The next prime is 1054230042401. The reversal of 1054230042400 is 42400324501.

It is a happy number.

It is a super-2 number, since 2×10542300424002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1054230042401) 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 11 ways as a sum of consecutive naturals, for example, 28629156 + ... + 28665955.

It is an arithmetic number, because the mean of its divisors is an integer number (37299117912).

Almost surely, 21054230042400 is an apocalyptic number.

1054230042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054230042400 is an abundant number, since it is smaller than the sum of its proper divisors (1631306447264).

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

1054230042400 is a wasteful number, since it uses less digits than its factorization.

1054230042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57295154 (or 57295141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1054230042400 its reverse (42400324501), we get a palindrome (1096630366901).

The spelling of 1054230042400 in words is "one trillion, fifty-four billion, two hundred thirty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 9200 18400 57295111 114590222 229180444 286475555 458360888 572951110 916721776 1145902220 1317787553 1432377775 1833443552 2291804440 2635575106 2864755550 4583608880 5271150212 5729511100 6588937765 9167217760 10542300424 11459022200 13177875530 21084600848 22918044400 26355751060 32944688825 42169201696 45836088800 52711502120 65889377650 105423004240 131778755300 210846008480 263557510600 527115021200 1054230042400