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330114124340 = 2257111316489217
BaseRepresentation
bin1001100110111000101…
…01011100101000110100
31011120002012222001021122
410303130111130220310
520402033203434330
6411352523203112
732564351521250
oct4633425345064
91146065861248
10330114124340
111180008a9670
1253b8a676498
132518ba413b0
1411d987b7260
1588c132c5e5
hex4cdc55ca34

330114124340 has 96 divisors (see below), whose sum is σ = 930783377664. Its totient is φ = 94977884160.

The previous prime is 330114124303. The next prime is 330114124363. The reversal of 330114124340 is 43421411033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8224589 + ... + 8264628.

It is an arithmetic number, because the mean of its divisors is an integer number (9695660184).

Almost surely, 2330114124340 is an apocalyptic number.

It is an amenable number.

330114124340 is an abundant number, since it is smaller than the sum of its proper divisors (600669253324).

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

330114124340 is a wasteful number, since it uses less digits than its factorization.

330114124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16489257 (or 16489255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 330114124340 its reverse (43421411033), we get a palindrome (373535535373).

It can be divided in two parts, 330114 and 124340, that added together give a palindrome (454454).

The spelling of 330114124340 in words is "three hundred thirty billion, one hundred fourteen million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 16489217 32978434 65956868 82446085 115424519 164892170 181381387 214359821 230849038 329784340 362762774 428719642 461698076 577122595 725525548 857439284 906906935 1071799105 1154245190 1269669709 1500518747 1813813870 2143598210 2308490380 2357958031 2539339418 3001037494 3627627740 4287196420 4715916062 5078678836 6002074988 6348348545 7502593735 9431832124 11789790155 12696697090 15005187470 16505706217 23579580310 25393394180 30010374940 33011412434 47159160620 66022824868 82528531085 165057062170 330114124340