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332320141023233 = 112531311283308317
BaseRepresentation
bin100101110001111100100111…
…1111101010001100000000001
31121120122111101000022012210212
41023203321033331101200001
5322024213122100220413
63134441433141403505
7126666223614365246
oct11343711775214001
91546574330265725
10332320141023233
11969841a9048500
1231331a52a09595
131135786888994c
145c0c5486c95cd
1528646220e9ca8
hex12e3e4ff51801

332320141023233 has 48 divisors (see below), whose sum is σ = 375304036903488. Its totient is φ = 293916162883200.

The previous prime is 332320141023223. The next prime is 332320141023293.

332320141023233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332320141023233 - 216 = 332320140957697 is a prime.

It is a super-2 number, since 2×3323201410232332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332320141023233.

It is not an unprimeable number, because it can be changed into a prime (332320141023203) 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, 1077697991 + ... + 1078006307.

It is an arithmetic number, because the mean of its divisors is an integer number (7818834102156).

Almost surely, 2332320141023233 is an apocalyptic number.

It is an amenable number.

332320141023233 is a deficient number, since it is larger than the sum of its proper divisors (42983895880255).

332320141023233 is a wasteful number, since it uses less digits than its factorization.

332320141023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309806 (or 309795 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 332320141023233 in words is "three hundred thirty-two trillion, three hundred twenty billion, one hundred forty-one million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 11 53 121 131 583 1283 1441 6413 6943 14113 15851 67999 76373 155243 168073 308317 747989 840103 1848803 3391487 8227879 8907869 16340801 20336833 37306357 40389527 97986559 179748811 395570711 444284797 1077852149 1977236921 2140644931 4351277821 4887132767 20965247683 23547094241 47864056031 51819763141 230617724513 259018036651 570017394551 2536794969643 2746447446473 6270191340061 30210921911203 332320141023233