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314351666944 = 287199232603
BaseRepresentation
bin1001001001100001101…
…00011100011100000000
31010001101201010020200021
410210300310130130000
520122243011320234
6400224451103224
731465633040050
oct4446064343400
91101351106607
10314351666944
11111352359077
1250b0b8a1b14
1323849258623
14113011db560
15829c6099b4
hex4930d1c700

314351666944 has 72 divisors (see below), whose sum is σ = 754857703040. Its totient is φ = 127631490048.

The previous prime is 314351666813. The next prime is 314351666947. The reversal of 314351666944 is 449666153413.

It is a junction number, because it is equal to n+sod(n) for n = 314351666891 and 314351666900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314351666947) 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, 4582254 + ... + 4650349.

Almost surely, 2314351666944 is an apocalyptic number.

It is an amenable number.

314351666944 is an abundant number, since it is smaller than the sum of its proper divisors (440506036096).

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

314351666944 is an equidigital number, since it uses as much as digits as its factorization.

314351666944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232645 (or 9232631 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The spelling of 314351666944 in words is "three hundred fourteen billion, three hundred fifty-one million, six hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4864 8512 17024 34048 9232603 18465206 36930412 64628221 73860824 129256442 147721648 175419457 258512884 295443296 350838914 517025768 590886592 701677828 1034051536 1181773184 1227936199 1403355656 2068103072 2363546368 2455872398 2806711312 4136206144 4911744796 5613422624 8272412288 9823489592 11226845248 16544824576 19646979184 22453690496 39293958368 44907380992 78587916736 157175833472 314351666944