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401442230144 = 27171261114629
BaseRepresentation
bin1011101011101111101…
…00100100111110000000
31102101012012101020211002
411311313310210332000
523034123202331034
6504230420111132
741001053440424
oct5656764447600
91371165336732
10401442230144
1114528374523a
12659762354a8
132bb18384767
1415603948b84
15a698330e7e
hex5d77d24f80

401442230144 has 64 divisors (see below), whose sum is σ = 846917240400. Its totient is φ = 188886097920.

The previous prime is 401442230087. The next prime is 401442230173. The reversal of 401442230144 is 441032244104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4014422301442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27434222 + ... + 27448850.

Almost surely, 2401442230144 is an apocalyptic number.

It is an amenable number.

401442230144 is an abundant number, since it is smaller than the sum of its proper divisors (445475010256).

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

401442230144 is a wasteful number, since it uses less digits than its factorization.

401442230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27271 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 401442230144 its reverse (441032244104), we get a palindrome (842474474248).

The spelling of 401442230144 in words is "four hundred one billion, four hundred forty-two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 12611 14629 25222 29258 50444 58516 100888 117032 201776 214387 234064 248693 403552 428774 468128 497386 807104 857548 936256 994772 1614208 1715096 1872512 1989544 3430192 3979088 6860384 7958176 13720768 15916352 27441536 31832704 184486319 368972638 737945276 1475890552 2951781104 3136267423 5903562208 6272534846 11807124416 12545069692 23614248832 25090139384 50180278768 100360557536 200721115072 401442230144