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4332222440145 = 325474095008147
BaseRepresentation
bin111111000010101100100…
…101000110001011010001
3120100011020000211021210100
4333002230211012023101
51031434342421041040
613114110121523013
7624664340104605
oct77025445061321
916304200737710
104332222440145
111420315699096
1259b744643469
132556b0579a72
1410d975b29505
1577a57443b30
hex3f0ac9462d1

4332222440145 has 48 divisors (see below), whose sum is σ = 7687707505920. Its totient is φ = 2255829219072.

The previous prime is 4332222440123. The next prime is 4332222440153. The reversal of 4332222440145 is 5410442222334.

4332222440145 is a `hidden beast` number, since 4 + 3 + 3 + 22 + 224 + 401 + 4 + 5 = 666.

It is not a de Polignac number, because 4332222440145 - 26 = 4332222440081 is a prime.

It is a super-3 number, since 3×43322224401453 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1639039 + ... + 3369108.

It is an arithmetic number, because the mean of its divisors is an integer number (160160573040).

Almost surely, 24332222440145 is an apocalyptic number.

4332222440145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4332222440145 is a deficient number, since it is larger than the sum of its proper divisors (3355485065775).

4332222440145 is a wasteful number, since it uses less digits than its factorization.

4332222440145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008614 (or 5008611 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4332222440145 its reverse (5410442222334), we get a palindrome (9742664662479).

The spelling of 4332222440145 in words is "four trillion, three hundred thirty-two billion, two hundred twenty-two million, four hundred forty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 47 141 235 409 423 705 1227 2045 2115 3681 6135 18405 19223 57669 96115 173007 288345 865035 5008147 15024441 25040735 45073323 75122205 225366615 235382909 706148727 1176914545 2048332123 2118446181 3530743635 6144996369 10241660615 10592230905 18434989107 30724981845 92174945535 96271609781 288814829343 481358048905 866444488029 1444074146715 4332222440145