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332140141041233 = 71011669363177521
BaseRepresentation
bin100101110000101000110011…
…1000111110101011001010001
31121120000021202111120201020212
41023201101213013311121101
5322013241002101304413
63134223024021213505
7126650222215651520
oct11341214707653121
91546007674521225
10332140141041233
119691492a8188a8
1231302b99261295
13113438b0c50665
145c039508d64b7
15285ead98e6ca8
hex12e14671f5651

332140141041233 has 32 divisors (see below), whose sum is σ = 383687312378880. Its totient is φ = 281622718080000.

The previous prime is 332140141041223. The next prime is 332140141041251.

332140141041233 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332140141041233 is a prime.

It is a super-2 number, since 2×3321401410412332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332140141041233.

It is not an unprimeable number, because it can be changed into a prime (332140141041223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4284479513 + ... + 4284557033.

It is an arithmetic number, because the mean of its divisors is an integer number (11990228511840).

Almost surely, 2332140141041233 is an apocalyptic number.

It is an amenable number.

332140141041233 is a deficient number, since it is larger than the sum of its proper divisors (51547171337647).

332140141041233 is a wasteful number, since it uses less digits than its factorization.

332140141041233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82929.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 332140141041233 in words is "three hundred thirty-two trillion, one hundred forty billion, one hundred forty-one million, forty-one thousand, two hundred thirty-three".

Divisors: 1 7 101 707 1669 3631 11683 25417 77521 168569 366731 542647 1179983 2567117 6060139 7829621 42420973 54807347 129382549 281478751 612074039 905677843 1970351257 4284518273 13067637449 28429353851 91473462143 199005476957 469788035419 3288516247933 47448591577319 332140141041233