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314901245652 = 223771288718289
BaseRepresentation
bin1001001010100011001…
…00111010111011010100
31010002211000020201221020
410211101210322323110
520124404204330102
6400355202321140
731515355265250
oct4452144727324
91102730221836
10314901245652
111116045a8754
12510439591b0
132390607c126
14113541bb260
1582d09b7bbc
hex495193aed4

314901245652 has 96 divisors (see below), whose sum is σ = 851905474560. Its totient is φ = 88669002240.

The previous prime is 314901245599. The next prime is 314901245653. The reversal of 314901245652 is 256542109413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314901245653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17208924 + ... + 17227212.

It is an arithmetic number, because the mean of its divisors is an integer number (8874015360).

Almost surely, 2314901245652 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 314901245652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425952737280).

314901245652 is an abundant number, since it is smaller than the sum of its proper divisors (537004228908).

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

314901245652 is a wasteful number, since it uses less digits than its factorization.

314901245652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21261 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 314901245652 in words is "three hundred fourteen billion, nine hundred one million, two hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2887 2982 5774 5964 8661 11548 17322 18289 20209 34644 36578 40418 54867 60627 73156 80836 109734 121254 128023 204977 219468 242508 256046 384069 409954 512092 614931 768138 819908 1229862 1298519 1434839 1536276 2459724 2597038 2869678 3895557 4304517 5194076 5739356 7791114 8609034 9089633 15582228 17218068 18179266 27268899 36358532 52800343 54537798 105600686 109075596 158401029 211201372 316802058 369602401 633604116 739204802 1108807203 1478409604 2217614406 3748824353 4435228812 7497648706 11246473059 14995297412 22492946118 26241770471 44985892236 52483540942 78725311413 104967081884 157450622826 314901245652