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3241253016342 = 23211195659152249
BaseRepresentation
bin101111001010101001101…
…111000001001100010110
3102110212020111101022201200
4233022221233001030112
5411101041233010332
610521002220533330
7453113162026545
oct57125157011426
912425214338650
103241253016342
11103a675912710
124442150b1246
131a6858699103
14b2c3db5615c
15594a46ae17c
hex2f2a9bc1316

3241253016342 has 96 divisors (see below), whose sum is σ = 8065839600000. Its totient is φ = 930332718720.

The previous prime is 3241253016307. The next prime is 3241253016343. The reversal of 3241253016342 is 2436103521423.

3241253016342 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 2 + 5 + 301 + 6 + 342 = 666.

3241253016342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32412530163422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3241253016297 and 3241253016306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241253016343) 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, 21213034 + ... + 21365282.

It is an arithmetic number, because the mean of its divisors is an integer number (84019162500).

Almost surely, 23241253016342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241253016342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032919800000).

3241253016342 is an abundant number, since it is smaller than the sum of its proper divisors (4824586583658).

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

3241253016342 is a wasteful number, since it uses less digits than its factorization.

3241253016342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157946 (or 157943 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3241253016342 its reverse (2436103521423), we get a palindrome (5677356537765).

The spelling of 3241253016342 in words is "three trillion, two hundred forty-one billion, two hundred fifty-three million, sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 5659 11318 16977 33954 50931 62249 101862 107521 124498 152249 186747 215042 304498 322563 373494 456747 560241 645126 913494 967689 1120482 1182731 1370241 1674739 1935378 2365462 2740482 2892731 3349478 3548193 5024217 5785462 7096386 8678193 10048434 10644579 15072651 17356386 21289158 26034579 30145302 31820041 52069158 63640082 95460123 190920246 286380369 572760738 861577091 1723154182 2584731273 5169462546 7754193819 9477348001 15508387638 16369964729 18954696002 28432044003 32739929458 49109894187 56864088006 85296132009 98219788374 147329682561 170592264018 180069612019 294659365122 360139224038 540208836057 1080417672114 1620626508171 3241253016342