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214235142144 = 211343810907
BaseRepresentation
bin1100011110000101101…
…0001101100000000000
3202110222102012211110020
43013201122031200000
512002223144022034
6242230202333440
721322642443102
oct3074132154000
9673872184406
10214235142144
1182947175191
123562aaba280
131728256a9ca
14a5248c7572
15588d054249
hex31e168d800

214235142144 has 96 divisors (see below), whose sum is σ = 584437613760. Its totient is φ = 69750890496.

The previous prime is 214235142137. The next prime is 214235142157. The reversal of 214235142144 is 441241532412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2142351421442 (a number of 23 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, 141262 + ... + 669645.

It is an arithmetic number, because the mean of its divisors is an integer number (6087891810).

Almost surely, 2214235142144 is an apocalyptic number.

214235142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214235142144 is an abundant number, since it is smaller than the sum of its proper divisors (370202471616).

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

214235142144 is an equidigital number, since it uses as much as digits as its factorization.

214235142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810975 (or 810955 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

Adding to 214235142144 its reverse (441241532412), we get a palindrome (655476674556).

The spelling of 214235142144 in words is "two hundred fourteen billion, two hundred thirty-five million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4128 5504 6144 8256 11008 16512 22016 33024 44032 66048 88064 132096 264192 810907 1621814 2432721 3243628 4865442 6487256 9730884 12974512 19461768 25949024 34869001 38923536 51898048 69738002 77847072 103796096 104607003 139476004 155694144 207592192 209214006 278952008 311388288 415184384 418428012 557904016 622776576 830368768 836856024 1115808032 1245553152 1660737536 1673712048 2231616064 2491106304 3347424096 4463232128 4982212608 6694848192 8926464256 13389696384 17852928512 26779392768 35705857024 53558785536 71411714048 107117571072 214235142144