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214202143023444 = 2235733018802399
BaseRepresentation
bin110000101101000011010010…
…101001010010000101010100
31001002102112011122022120100000
4300231003102221102011110
5211033441442103222234
62035323034523051300
763055410534226062
oct6055032251220524
91032375148276300
10214202143023444
1162284689553394
1220035988370b30
13926a2385048b4
143ac7620a1d032
1519b6d51626899
hexc2d0d2a52154

214202143023444 has 72 divisors (see below), whose sum is σ = 569201230124800. Its totient is φ = 70422622340544.

The previous prime is 214202143023431. The next prime is 214202143023457. The reversal of 214202143023444 is 444320341202412.

214202143023444 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 2 + 1 + 4 + 302 + 344 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214202143023431) and next prime (214202143023457).

It is a super-2 number, since 2×2142021430234442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214202143023399 and 214202143023408.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1509330244 + ... + 1509472155.

Almost surely, 2214202143023444 is an apocalyptic number.

It is an amenable number.

214202143023444 is an abundant number, since it is smaller than the sum of its proper divisors (354999087101356).

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

214202143023444 is a wasteful number, since it uses less digits than its factorization.

214202143023444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018802491 (or 3018802477 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 214202143023444 its reverse (444320341202412), we get a palindrome (658522484225856).

The spelling of 214202143023444 in words is "two hundred fourteen trillion, two hundred two billion, one hundred forty-three million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 972 1314 1971 2628 3942 5913 7884 11826 17739 23652 35478 70956 3018802399 6037604798 9056407197 12075209596 18112814394 27169221591 36225628788 54338443182 81507664773 108676886364 163015329546 220372575127 244522994319 326030659092 440745150254 489045988638 661117725381 733568982957 881490300508 978091977276 1322235450762 1467137965914 1983353176143 2644470901524 2934275931828 3966706352286 5950059528429 7933412704572 11900119056858 17850178585287 23800238113716 35700357170574 53550535755861 71400714341148 107101071511722 214202143023444