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5435146240 = 214566347
BaseRepresentation
bin1010000111111010…
…11100000000000000
3112000210012000222121
411003331130000000
542112344134430
62255154014024
7251454660256
oct50375340000
915023160877
105435146240
112339aa88a7
121078277314
13688057684
14397bb45d6
1521c25da7a
hex143f5c000

5435146240 has 60 divisors (see below), whose sum is σ = 13044149496. Its totient is φ = 2174025728.

The previous prime is 5435146231. The next prime is 5435146259. The reversal of 5435146240 is 426415345.

It is a super-2 number, since 2×54351462402 = 59081629300372275200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5435146196 and 5435146205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48747 + ... + 115093.

Almost surely, 25435146240 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 5435146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522074748).

5435146240 is an abundant number, since it is smaller than the sum of its proper divisors (7609003256).

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

5435146240 is an frugal number, since it uses more digits than its factorization.

5435146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66380 (or 66354 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5435146240 is about 73723.4443036949. Note that the first 3 decimals coincide. The cubic root of 5435146240 is about 1758.2086456709.

The spelling of 5435146240 in words is "five billion, four hundred thirty-five million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 40960 66347 81920 132694 265388 331735 530776 663470 1061552 1326940 2123104 2653880 4246208 5307760 8492416 10615520 16984832 21231040 33969664 42462080 67939328 84924160 135878656 169848320 271757312 339696640 543514624 679393280 1087029248 1358786560 2717573120 5435146240