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312707004440 = 235471631020451
BaseRepresentation
bin1001000110011101100…
…10100011100000011000
31002220011002101201212012
410203032302203200120
520110410443120230
6355353340205052
731410112452455
oct4431662434030
91086132351765
10312707004440
11110688a51866
1250730b39788
13236465b5a4c
14111c69dc82c
158203037395
hex48ceca3818

312707004440 has 64 divisors (see below), whose sum is σ = 722969832960. Its totient is φ = 121670294400.

The previous prime is 312707004439. The next prime is 312707004451. The reversal of 312707004440 is 44400707213.

It is a junction number, because it is equal to n+sod(n) for n = 312707004397 and 312707004406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203786 + ... + 816665.

It is an arithmetic number, because the mean of its divisors is an integer number (11296403640).

Almost surely, 2312707004440 is an apocalyptic number.

It is an amenable number.

312707004440 is an abundant number, since it is smaller than the sum of its proper divisors (410262828520).

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

312707004440 is a wasteful number, since it uses less digits than its factorization.

312707004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020672 (or 1020668 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 312707004440 in words is "three hundred twelve billion, seven hundred seven million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 163 188 235 326 376 470 652 815 940 1304 1630 1880 3260 6520 7661 15322 30644 38305 61288 76610 153220 306440 1020451 2040902 4081804 5102255 8163608 10204510 20409020 40818040 47961197 95922394 166333513 191844788 239805985 332667026 383689576 479611970 665334052 831667565 959223940 1330668104 1663335130 1918447880 3326670260 6653340520 7817675111 15635350222 31270700444 39088375555 62541400888 78176751110 156353502220 312707004440