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3420212625375 = 353713421123801
BaseRepresentation
bin110001110001010100100…
…011101111111111011111
3110002222011111110101212120
4301301110203233333133
5422014043413003000
611135120214234023
7502050025432050
oct61612443577737
913088144411776
103420212625375
1110a955a953747
12472a3a355913
131ba6a89009b0
14bb7796cc727
155de7a8a86a0
hex31c548effdf

3420212625375 has 128 divisors (see below), whose sum is σ = 7006553229312. Its totient is φ = 1442851200000.

The previous prime is 3420212625353. The next prime is 3420212625383. The reversal of 3420212625375 is 5735262120243.

It is not a de Polignac number, because 3420212625375 - 25 = 3420212625343 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143688475 + ... + 143712275.

It is an arithmetic number, because the mean of its divisors is an integer number (54738697104).

Almost surely, 23420212625375 is an apocalyptic number.

3420212625375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3420212625375 is an abundant number, since it is smaller than the sum of its proper divisors (3586340603937).

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

3420212625375 is a wasteful number, since it uses less digits than its factorization.

3420212625375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28050 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 3420212625375 in words is "three trillion, four hundred twenty billion, two hundred twelve million, six hundred twenty-five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1365 1625 2275 2625 4211 4875 6825 11375 12633 21055 23801 29477 34125 54743 63165 71403 88431 105275 119005 147385 164229 166607 273715 309413 315825 357015 383201 442155 499821 526375 595025 736925 821145 833035 928239 1149603 1368575 1547065 1579125 1785075 1916005 2165891 2210775 2499105 2975125 3684625 4105725 4165175 4641195 5748015 6497673 6842875 7735325 8925375 9580025 10829455 11053875 12495525 20528625 20825875 23205975 28740075 32488365 38676625 47900125 54147275 62477625 100226011 116029875 143700375 162441825 270736375 300678033 501130055 701582077 812209125 1302938143 1503390165 2104746231 2505650275 3507910385 3908814429 6514690715 7516950825 9120567001 10523731155 12528251375 17539551925 19544072145 27361701003 32573453575 37584754125 45602835005 52618655775 87697759625 97720360725 136808505015 162867267875 228014175025 263093278875 488601803625 684042525075 1140070875125 3420212625375