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8400099440 = 245472234069
BaseRepresentation
bin1111101001010111…
…10101100001110000
3210200102021021011002
413310223311201300
5114200411140230
63505311141132
7415106444555
oct76453654160
923612237132
108400099440
113620701047
1217652147a8
13a3b3baa55
14599896a2c
153426cd545
hex1f4af5870

8400099440 has 40 divisors (see below), whose sum is σ = 19945776960. Its totient is φ = 3288548096.

The previous prime is 8400099437. The next prime is 8400099511. The reversal of 8400099440 is 449900048.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8400099394 and 8400099403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113275 + ... + 1120794.

It is an arithmetic number, because the mean of its divisors is an integer number (498644424).

Almost surely, 28400099440 is an apocalyptic number.

8400099440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400099440 is an abundant number, since it is smaller than the sum of its proper divisors (11545677520).

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

8400099440 is a wasteful number, since it uses less digits than its factorization.

8400099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234129 (or 2234123 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8400099440 is about 91652.0563871864. The cubic root of 8400099440 is about 2032.8007350626.

Adding to 8400099440 its reverse (449900048), we get a palindrome (8849999488).

The spelling of 8400099440 in words is "eight billion, four hundred million, ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 2234069 4468138 8936276 11170345 17872552 22340690 35745104 44681380 89362760 105001243 178725520 210002486 420004972 525006215 840009944 1050012430 1680019888 2100024860 4200049720 8400099440