Search a number
-
+
3419875190004 = 2237134676706111
BaseRepresentation
bin110001110001000000011…
…100100010010011110100
3110002221021222111220120020
4301301000130202103310
5422012401022040004
611135022522005140
7502035460325340
oct61610034422364
913087258456506
103419875190004
1110a93a7430539
124729653467b0
131ba653a267b0
14bb746972620
155de5ae528d9
hex31c407224f4

3419875190004 has 96 divisors (see below), whose sum is σ = 9842211864576. Its totient is φ = 900013610880.

The previous prime is 3419875189999. The next prime is 3419875190021. The reversal of 3419875190004 is 4000915789143.

It is a super-4 number, since 4×34198751900044 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2843092 + ... + 3863019.

It is an arithmetic number, because the mean of its divisors is an integer number (102523040256).

Almost surely, 23419875190004 is an apocalyptic number.

It is an amenable number.

3419875190004 is an abundant number, since it is smaller than the sum of its proper divisors (6422336674572).

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

3419875190004 is a wasteful number, since it uses less digits than its factorization.

3419875190004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706605 (or 6706603 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 3419875190004 in words is "three trillion, four hundred nineteen billion, eight hundred seventy-five million, one hundred ninety thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 467 546 934 1092 1401 1868 2802 3269 5604 6071 6538 9807 12142 13076 18213 19614 24284 36426 39228 42497 72852 84994 127491 169988 254982 509964 6706111 13412222 20118333 26824444 40236666 46942777 80473332 87179443 93885554 140828331 174358886 187771108 261538329 281656662 348717772 523076658 563313324 610256101 1046153316 1220512202 1830768303 2441024404 3131753837 3661536606 6263507674 7323073212 9395261511 12527015348 18790523022 21922276859 37581046044 40712799881 43844553718 65766830577 81425599762 87689107436 122138399643 131533661154 162851199524 244276799286 263067322308 284989599167 488553598572 569979198334 854968797501 1139958396668 1709937595002 3419875190004