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3300103542414 = 237259419454061
BaseRepresentation
bin110000000001011101011…
…111111101011010001110
3102200111010220000210200110
4300001131133331122032
5413032103001324124
611004014023540450
7460265433164400
oct60013537753216
912614126023613
103300103542414
111062625463a18
124536b9bba726
131ac276c427c3
14b5a23aacb70
155ac9b057029
hex3005d7fd68e

3300103542414 has 96 divisors (see below), whose sum is σ = 7826575881600. Its totient is φ = 924691373760.

The previous prime is 3300103542391. The next prime is 3300103542493. The reversal of 3300103542414 is 4142453010033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7040944 + ... + 7495004.

It is an arithmetic number, because the mean of its divisors is an integer number (81526832100).

Almost surely, 23300103542414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300103542414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913287940800).

3300103542414 is an abundant number, since it is smaller than the sum of its proper divisors (4526472339186).

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

3300103542414 is a wasteful number, since it uses less digits than its factorization.

3300103542414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454558 (or 454551 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 3300103542414 its reverse (4142453010033), we get a palindrome (7442556552447).

The spelling of 3300103542414 in words is "three trillion, three hundred billion, one hundred three million, five hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 419 826 838 1239 1257 2478 2514 2891 2933 5782 5866 8673 8799 17346 17598 20531 24721 41062 49442 61593 74163 123186 148326 173047 346094 454061 519141 908122 1038282 1211329 1362183 2422658 2724366 3178427 3633987 6356854 7267974 9535281 19070562 22248989 26789599 44497978 53579198 66746967 80368797 133493934 160737594 187527193 190251559 375054386 380503118 562581579 570754677 1125163158 1141509354 1312690351 1331760913 2625380702 2663521826 3938071053 3995282739 7876142106 7990565478 9322326391 11224841981 18644652782 22449683962 27966979173 33674525943 55933958346 67349051886 78573893867 157147787734 235721681601 471443363202 550017257069 1100034514138 1650051771207 3300103542414