Search a number
-
+
33321441441012 = 223103157377945439
BaseRepresentation
bin1111001001110010000001…
…01011100011010011110100
311100222111110112202010021020
413210321000223203103310
513331414303002103022
6154511354152221140
710006252244664534
oct744710053432364
9140874415663236
1033321441441012
11a6875a900700a
1238a1b0339a7b0
131579276ca384a
14832aa2cc94c4
153cbb7927635c
hex1e4e40ae34f4

33321441441012 has 96 divisors (see below), whose sum is σ = 79027561267200. Its totient is φ = 10926118899072.

The previous prime is 33321441440993. The next prime is 33321441441031. The reversal of 33321441441012 is 21014414412333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33321441440993) and next prime (33321441441031).

It is a super-2 number, since 2×333214414410122 (a number of 28 digits) contains 22 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, 733299789 + ... + 733345227.

It is an arithmetic number, because the mean of its divisors is an integer number (823203763200).

Almost surely, 233321441441012 is an apocalyptic number.

It is an amenable number.

33321441441012 is an abundant number, since it is smaller than the sum of its proper divisors (45706119826188).

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

33321441441012 is a wasteful number, since it uses less digits than its factorization.

33321441441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49485 (or 49483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 33321441441012 its reverse (21014414412333), we get a palindrome (54335855853345).

The spelling of 33321441441012 in words is "thirty-three trillion, three hundred twenty-one billion, four hundred forty-one million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 103 157 206 309 314 412 471 618 628 942 1236 1884 3779 7558 11337 15116 16171 22674 32342 45348 45439 48513 64684 90878 97026 136317 181756 194052 272634 389237 545268 593303 778474 1167711 1186606 1556948 1779909 2335422 2373212 3559818 4670844 4680217 7119636 7133923 9360434 14040651 14267846 18720868 21401769 28081302 28535692 42803538 56162604 61110209 85607076 122220418 171713981 183330627 244440836 343427962 366661254 515141943 686855924 733322508 734794069 1030283886 1469588138 2060567772 2204382207 2939176276 4408764414 8817528828 17686540043 26959095017 35373080086 53059620129 53918190034 70746160172 80877285051 106119240258 107836380068 161754570102 212238480516 323509140204 2776786786751 5553573573502 8330360360253 11107147147004 16660720720506 33321441441012