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3141053440 = 2105787641
BaseRepresentation
bin1011101100111000…
…1010110000000000
322002220110001021121
42323032022300000
522413102202230
61235403402024
7140560341130
oct27316126000
98086401247
103141053440
111372051a38
12737b23314
133b09a0205
1421b242ac0
15135b5777a
hexbb38ac00

3141053440 has 88 divisors (see below), whose sum is σ = 8611352352. Its totient is φ = 1076920320.

The previous prime is 3141053431. The next prime is 3141053453. The reversal of 3141053440 is 443501413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7981 + ... + 79660.

Almost surely, 23141053440 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 3141053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305676176).

3141053440 is an abundant number, since it is smaller than the sum of its proper divisors (5470298912).

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

3141053440 is an equidigital number, since it uses as much as digits as its factorization.

3141053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87673 (or 87655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3141053440 is about 56045.1018377164. The cubic root of 3141053440 is about 1464.5080900398.

Adding to 3141053440 its reverse (443501413), we get a palindrome (3584554853).

The spelling of 3141053440 in words is "three billion, one hundred forty-one million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 87641 175282 350564 438205 613487 701128 876410 1226974 1402256 1752820 2453948 2804512 3067435 3505640 4907896 5609024 6134870 7011280 9815792 11218048 12269740 14022560 19631584 22436096 24539480 28045120 39263168 44872192 49078960 56090240 78526336 89744384 98157920 112180480 157052672 196315840 224360960 314105344 392631680 448721920 628210688 785263360 1570526720 3141053440