Search a number
-
+
32014023312330 = 23253113327861001
BaseRepresentation
bin1110100011101110110000…
…11111001100001111001010
311012100111210022212200112100
413101313120133030033022
513144004204431443310
6152031012252254230
76512636225155623
oct721673037141712
9135314708780470
1032014023312330
11a223086612a64
123710647771376
1314b2ba9085467
147c96b6460a4a
153a7b58e91ec0
hex1d1dd87cc3ca

32014023312330 has 96 divisors (see below), whose sum is σ = 85928054704128. Its totient is φ = 8261053920000.

The previous prime is 32014023312301. The next prime is 32014023312331. The reversal of 32014023312330 is 3321332041023.

32014023312330 is a `hidden beast` number, since 3 + 2 + 0 + 14 + 0 + 2 + 3 + 312 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32014023312294 and 32014023312303.

It is not an unprimeable number, because it can be changed into a prime (32014023312331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36751830 + ... + 37612830.

It is an arithmetic number, because the mean of its divisors is an integer number (895083903168).

Almost surely, 232014023312330 is an apocalyptic number.

32014023312330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32014023312330 is an abundant number, since it is smaller than the sum of its proper divisors (53914031391798).

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

32014023312330 is a wasteful number, since it uses less digits than its factorization.

32014023312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874372 (or 874369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 32014023312330 its reverse (3321332041023), we get a palindrome (35335355353353).

The spelling of 32014023312330 in words is "thirty-two trillion, fourteen billion, twenty-three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 13327 26654 39981 66635 79962 119943 133270 199905 239886 399810 413137 599715 826274 861001 1199430 1239411 1722002 2065685 2478822 2583003 3718233 4131370 4305005 5166006 6197055 7436466 7749009 8610010 12394110 12915015 15498018 18591165 25830030 26691031 37182330 38745045 53382062 77490090 80073093 133455155 160146186 240219279 266910310 400365465 480438558 800730930 1201096395 2402192790 11474560327 22949120654 34423680981 57372801635 68847361962 103271042943 114745603270 172118404905 206542085886 344236809810 355711370137 516355214715 711422740274 1032710429430 1067134110411 1778556850685 2134268220822 3201402331233 3557113701370 5335670552055 6402804662466 10671341104110 16007011656165 32014023312330