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214134224021025 = 35271159628466429
BaseRepresentation
bin110000101100000100000010…
…010110110110011000100001
31001002012000212020201202110220
4300230010002112312120201
5211031333342322133100
62035231523211113253
763050454456230550
oct6054040226663041
91032160766652426
10214134224021025
11622588a5aa0630
1220024792442829
139263a03253a79
143ac421a547d97
1519b51c8a77aa0
hexc2c1025b6621

214134224021025 has 96 divisors (see below), whose sum is σ = 448875862963200. Its totient is φ = 87482526777600.

The previous prime is 214134224021023. The next prime is 214134224021033. The reversal of 214134224021025 is 520120422431412.

It is not a de Polignac number, because 214134224021025 - 21 = 214134224021023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (214134224021023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313892490 + ... + 314573939.

It is an arithmetic number, because the mean of its divisors is an integer number (4675790239200).

Almost surely, 2214134224021025 is an apocalyptic number.

214134224021025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214134224021025 is an abundant number, since it is smaller than the sum of its proper divisors (234741638942175).

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

214134224021025 is a wasteful number, since it uses less digits than its factorization.

214134224021025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628466519 (or 628466514 counting only the distinct ones).

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

Adding to 214134224021025 its reverse (520120422431412), we get a palindrome (734254646452437).

The spelling of 214134224021025 in words is "two hundred fourteen trillion, one hundred thirty-four billion, two hundred twenty-four million, twenty-one thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 59 75 77 105 165 175 177 231 275 295 385 413 525 649 825 885 1155 1239 1475 1925 1947 2065 3245 4425 4543 5775 6195 9735 10325 13629 16225 22715 30975 48675 68145 113575 340725 628466429 1885399287 3142332145 4399265003 6913130719 9426996435 13197795009 15711660725 20739392157 21996325015 34565653595 37079519311 47134982175 48391915033 65988975045 103696960785 109981625075 111238557933 145175745099 172828267975 185397596555 241959575165 259556635177 329944875225 407874712421 518484803925 556192789665 725878725495 778669905531 926987982775 1209797875825 1223624137263 1297783175885 2039373562105 2780963948325 2855122986947 3629393627475 3893349527655 6118120686315 6488915879425 8565368960841 10196867810525 14275614934735 19466747638275 30590603431575 42826844804205 71378074673675 214134224021025