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7145923408 = 2413192962351
BaseRepresentation
bin1101010011110111…
…00010001101010000
3200110000022112001221
412221323202031100
5104113324022113
63141025534424
7342040226641
oct65173421520
920400275057
107145923408
113037762028
1214751a4414
1389b608460
144bb0a36c8
152bc54098d
hex1a9ee2350

7145923408 has 80 divisors (see below), whose sum is σ = 16236460800. Its totient is φ = 3016742400.

The previous prime is 7145923403. The next prime is 7145923441. The reversal of 7145923408 is 8043295417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145923403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83433 + ... + 145783.

It is an arithmetic number, because the mean of its divisors is an integer number (202955760).

Almost surely, 27145923408 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 7145923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118230400).

7145923408 is an abundant number, since it is smaller than the sum of its proper divisors (9090537392).

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

7145923408 is a wasteful number, since it uses less digits than its factorization.

7145923408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62420 (or 62414 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 7145923408 is about 84533.5637956901. The cubic root of 7145923408 is about 1926.1323215490.

The spelling of 7145923408 in words is "seven billion, one hundred forty-five million, nine hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 76 104 116 152 208 232 247 304 377 464 494 551 754 988 1102 1508 1976 2204 3016 3952 4408 6032 7163 8816 14326 28652 57304 62351 114608 124702 249404 498808 810563 997616 1184669 1621126 1808179 2369338 3242252 3616358 4738676 6484504 7232716 9477352 12969008 14465432 15400697 18954704 23506327 28930864 30801394 34355401 47012654 61602788 68710802 94025308 123205576 137421604 188050616 246411152 274843208 376101232 446620213 549686416 893240426 1786480852 3572961704 7145923408