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3420127386132 = 2232973235757119
BaseRepresentation
bin110001110001001111011…
…110100101101000010100
3110002221221120001210121120
4301301033132211220110
5422013410102324012
611135103531243540
7502044642055122
oct61611736455024
913087846053546
103420127386132
1110a9516824196
12472a158a95b0
131ba694057982
14bb76c260912
155de7316c58c
hex31c4f7a5a14

3420127386132 has 96 divisors (see below), whose sum is σ = 8372265753600. Its totient is φ = 1085172544512.

The previous prime is 3420127386073. The next prime is 3420127386157. The reversal of 3420127386132 is 2316837210243.

3420127386132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 59848669 + ... + 59905787.

It is an arithmetic number, because the mean of its divisors is an integer number (87211101600).

Almost surely, 23420127386132 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 3420127386132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186132876800).

3420127386132 is an abundant number, since it is smaller than the sum of its proper divisors (4952138367468).

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

3420127386132 is a wasteful number, since it uses less digits than its factorization.

3420127386132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59585 (or 59583 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 3420127386132 in words is "three trillion, four hundred twenty billion, one hundred twenty-seven million, three hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 146 174 219 292 348 438 876 2117 2357 4234 4714 6351 7071 8468 9428 12702 14142 25404 28284 57119 68353 114238 136706 171357 172061 205059 228476 273412 342714 344122 410118 516183 685428 688244 820236 1032366 1656451 2064732 3312902 4169687 4969353 4989769 6625804 8339374 9938706 9979538 12509061 14969307 16678748 19877412 19959076 25018122 29938614 50036244 59877228 120920923 134629483 241841846 269258966 362762769 403888449 483683692 538517932 725525538 807776898 1451051076 1615553796 3904255007 7808510014 9827952259 11712765021 15617020028 19655904518 23425530042 29483856777 39311809036 46851060084 58967713554 117935427108 285010615511 570021231022 855031846533 1140042462044 1710063693066 3420127386132