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330440020404 = 2231347235719121
BaseRepresentation
bin1001100111011111100…
…00101001000110110100
31011120220221012021122020
410303233300221012310
520403220121123104
6411445124233140
732605416554454
oct4635760510664
91146827167566
10330440020404
1111815886015a
125405b83b7b0
13252114081c0
1411dc9babd64
1588dec542d9
hex4cefc291b4

330440020404 has 96 divisors (see below), whose sum is σ = 848407343616. Its totient is φ = 99463157760.

The previous prime is 330440020397. The next prime is 330440020459. The reversal of 330440020404 is 404020044033.

It is a happy number.

It is a super-6 number, since 6×3304400204046 (a number of 70 digits) contains 666666 as substring.

It is a congruent number.

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, 17271964 + ... + 17291084.

It is an arithmetic number, because the mean of its divisors is an integer number (8837576496).

Almost surely, 2330440020404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330440020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424203671808).

330440020404 is an abundant number, since it is smaller than the sum of its proper divisors (517967323212).

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

330440020404 is a wasteful number, since it uses less digits than its factorization.

330440020404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21545 (or 21543 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 330440020404 its reverse (404020044033), we get a palindrome (734460064437).

The spelling of 330440020404 in words is "three hundred thirty billion, four hundred forty million, twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2357 2444 3666 4714 7071 7332 9428 14142 19121 28284 30641 38242 57363 61282 76484 91923 110779 114726 122564 183846 221558 229452 248573 332337 367692 443116 497146 664674 745719 898687 994292 1329348 1440127 1491438 1797374 2696061 2880254 2982876 3594748 4320381 5392122 5760508 8640762 10784244 11682931 17281524 23365862 35048793 45068197 46731724 70097586 90136394 135204591 140195172 180272788 270409182 540818364 585886561 1171773122 1757659683 2118205259 2343546244 3515319366 4236410518 6354615777 7030638732 8472821036 12709231554 25418463108 27536668367 55073336734 82610005101 110146673468 165220010202 330440020404