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8144413424 = 247471547191
BaseRepresentation
bin1111001010111000…
…11110001011110000
3210000121011001212122
413211130132023300
5113134432212144
63424055013412
7405553241360
oct74534361360
923017131778
108144413424
1134aa344394
1216b366a268
139ca437254
1457393a9a0
1532a0247ee
hex1e571e2f0

8144413424 has 40 divisors (see below), whose sum is σ = 18417773568. Its totient is φ = 3416195520.

The previous prime is 8144413423. The next prime is 8144413427. The reversal of 8144413424 is 4243144418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144413423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768332 + ... + 778859.

Almost surely, 28144413424 is an apocalyptic number.

It is an amenable number.

8144413424 is an abundant number, since it is smaller than the sum of its proper divisors (10273360144).

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

8144413424 is a wasteful number, since it uses less digits than its factorization.

8144413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547253 (or 1547247 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

The square root of 8144413424 is about 90246.4039394368. The cubic root of 8144413424 is about 2011.9627555762.

The spelling of 8144413424 in words is "eight billion, one hundred forty-four million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 1547191 3094382 6188764 10830337 12377528 21660674 24755056 43321348 72717977 86642696 145435954 173285392 290871908 509025839 581743816 1018051678 1163487632 2036103356 4072206712 8144413424