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314545203440 = 24513302447311
BaseRepresentation
bin1001001001111000101…
…10101110100011110000
31010001220012021220211122
410210330112232203300
520123142033002230
6400300003201412
731503503054306
oct4447426564360
91101805256748
10314545203440
11111441626996
1250b64676268
132387a38b970
141131cbba276
1582ae5d8be5
hex493c5ae8f0

314545203440 has 40 divisors (see below), whose sum is σ = 787572800448. Its totient is φ = 116139767040.

The previous prime is 314545203409. The next prime is 314545203463. The reversal of 314545203440 is 44302545413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3145452034402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314545203440.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 151222616 + ... + 151224695.

Almost surely, 2314545203440 is an apocalyptic number.

It is an amenable number.

314545203440 is an abundant number, since it is smaller than the sum of its proper divisors (473027597008).

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

314545203440 is a wasteful number, since it uses less digits than its factorization.

314545203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302447337 (or 302447331 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 314545203440 its reverse (44302545413), we get a palindrome (358847748853).

The spelling of 314545203440 in words is "three hundred fourteen billion, five hundred forty-five million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 302447311 604894622 1209789244 1512236555 2419578488 3024473110 3931815043 4839156976 6048946220 7863630086 12097892440 15727260172 19659075215 24195784880 31454520344 39318150430 62909040688 78636300860 157272601720 314545203440