Search a number
-
+
332320032435042 = 233101431141372233
BaseRepresentation
bin100101110001111100100100…
…1011111000010101101100010
31121120122111002102222100211000
41023203321021133002231202
5322024212411300410132
63134441414302132430
7126666221125403511
oct11343711137025542
91546574072870730
10332320032435042
11969841528205a3
1231331a22581116
131135784c22a092
145c0c538100678
1528646177ea87c
hex12e3e497c2b62

332320032435042 has 64 divisors (see below), whose sum is σ = 747531134277120. Its totient is φ = 109422107568000.

The previous prime is 332320032434953. The next prime is 332320032435121. The reversal of 332320032435042 is 240534230023233.

332320032435042 is a `hidden beast` number, since 3 + 3 + 2 + 320 + 0 + 3 + 243 + 50 + 42 = 666.

It is a super-2 number, since 2×3323200324350422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332320032434988 and 332320032435006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68335443 + ... + 73036790.

It is an arithmetic number, because the mean of its divisors is an integer number (11680173973080).

Almost surely, 2332320032435042 is an apocalyptic number.

332320032435042 is an abundant number, since it is smaller than the sum of its proper divisors (415211101842078).

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

332320032435042 is a wasteful number, since it uses less digits than its factorization.

332320032435042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141372776 (or 141372770 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 36.

Adding to 332320032435042 its reverse (240534230023233), we get a palindrome (572854262458275).

The spelling of 332320032435042 in words is "three hundred thirty-two trillion, three hundred twenty billion, thirty-two million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 431 606 862 909 1293 1818 2586 2727 3879 5454 7758 11637 23274 43531 87062 130593 261186 391779 783558 1175337 2350674 141372233 282744466 424116699 848233398 1272350097 2544700194 3817050291 7634100582 14278595533 28557191066 42835786599 60931432423 85671573198 121862864846 128507359797 182794297269 257014719594 365588594538 385522079391 548382891807 771044158782 1096765783614 1645148675421 3290297350842 6154074674723 12308149349446 18462224024169 36924448048338 55386672072507 110773344145014 166160016217521 332320032435042