Search a number
-
+
214413413325 = 35217216935843
BaseRepresentation
bin1100011110110000001…
…0010000101111001101
3202111102211122221112120
43013230002100233031
512003104313211300
6242300011323153
721330235641126
oct3075402205715
9674384587476
10214413413325
1182a28866a41
123567a7504b9
13172b0487a07
14a54045104d
15589da1a3a0
hex31ec090bcd

214413413325 has 72 divisors (see below), whose sum is σ = 376863150048. Its totient is φ = 107545144320.

The previous prime is 214413413239. The next prime is 214413413363. The reversal of 214413413325 is 523314314412.

It is not a de Polignac number, because 214413413325 - 218 = 214413151181 is a prime.

It is a super-2 number, since 2×2144134133252 (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 71 ways as a sum of consecutive naturals, for example, 36692854 + ... + 36698696.

Almost surely, 2214413413325 is an apocalyptic number.

214413413325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214413413325 is a deficient number, since it is larger than the sum of its proper divisors (162449736723).

214413413325 is a wasteful number, since it uses less digits than its factorization.

214413413325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7561 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 214413413325 its reverse (523314314412), we get a palindrome (737727727737).

The spelling of 214413413325 in words is "two hundred fourteen billion, four hundred thirteen million, four hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 289 425 867 1275 1445 1693 4335 5079 5843 7225 8465 17529 21675 25395 28781 29215 42325 86343 87645 99331 126975 143905 146075 297993 431715 438225 489277 496655 719525 1467831 1489965 1688627 2158575 2446385 2483275 5065881 7339155 7449825 8443135 9892199 12231925 25329405 29676597 36695775 42215675 49460995 126647025 148382985 168167383 247304975 504502149 741914925 840836915 2522510745 2858845511 4204184575 8576536533 12612553725 14294227555 42882682665 71471137775 214413413325