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8140741344 = 253233018563
BaseRepresentation
bin1111001010011100…
…11101101011100000
3210000100020111201200
413211032131223200
5113133012210334
63423444201200
7405510105531
oct74516355340
923010214650
108140741344
1134a826650a
1216b2399200
139c974ca18
14573262688
15329a4b799
hex1e539dae0

8140741344 has 72 divisors (see below), whose sum is σ = 23159950632. Its totient is φ = 2712441600.

The previous prime is 8140741291. The next prime is 8140741423. The reversal of 8140741344 is 4431470418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8140741299 and 8140741308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946407 + ... + 954969.

It is an arithmetic number, because the mean of its divisors is an integer number (321665981).

Almost surely, 28140741344 is an apocalyptic number.

It is an amenable number.

8140741344 is an abundant number, since it is smaller than the sum of its proper divisors (15019209288).

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

8140741344 is a wasteful number, since it uses less digits than its factorization.

8140741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8140741344 is about 90226.0569015404. The cubic root of 8140741344 is about 2011.6603315526.

The spelling of 8140741344 in words is "eight billion, one hundred forty million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3301 6602 8563 9903 13204 17126 19806 25689 26408 29709 34252 39612 51378 52816 59418 68504 77067 79224 102756 105632 118836 137008 154134 158448 205512 237672 274016 308268 316896 411024 475344 616536 822048 950688 1233072 2466144 28266463 56532926 84799389 113065852 169598778 226131704 254398167 339197556 452263408 508796334 678395112 904526816 1017592668 1356790224 2035185336 2713580448 4070370672 8140741344