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312213134240 = 2557278761727
BaseRepresentation
bin1001000101100010101…
…10100101101110100000
31002211212200002112022022
410202301112211232200
520103403030243430
6355232335001012
731361634565610
oct4426126455640
91084780075268
10312213134240
111104551a1877
1250613669168
1323598198a67
141117b1a0a40
1581c49d04e5
hex48b15a5ba0

312213134240 has 48 divisors (see below), whose sum is σ = 842975465472. Its totient is φ = 107044502784.

The previous prime is 312213134227. The next prime is 312213134243. The reversal of 312213134240 is 42431312213.

It is not an unprimeable number, because it can be changed into a prime (312213134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139379744 + ... + 139381983.

It is an arithmetic number, because the mean of its divisors is an integer number (17561988864).

Almost surely, 2312213134240 is an apocalyptic number.

It is an amenable number.

312213134240 is an abundant number, since it is smaller than the sum of its proper divisors (530762331232).

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

312213134240 is a wasteful number, since it uses less digits than its factorization.

312213134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278761749 (or 278761741 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312213134240 its reverse (42431312213), we get a palindrome (354644446453).

The spelling of 312213134240 in words is "three hundred twelve billion, two hundred thirteen million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 278761727 557523454 1115046908 1393808635 1951332089 2230093816 2787617270 3902664178 4460187632 5575234540 7805328356 8920375264 9756660445 11150469080 15610656712 19513320890 22300938160 31221313424 39026641780 44601876320 62442626848 78053283560 156106567120 312213134240