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314214123041240 = 23539316247319883
BaseRepresentation
bin100011101110001101010110…
…1001011111111000111011000
31112012112120120111011001112112
41013130122231023333013120
5312141041010444304430
63032135550403131452
7123120135613022042
oct10734325513770730
91465476514131475
10314214123041240
1191133508a03214
122b2a8976073b88
1310643359607066
14578408a92aa92
15264d66ca1b195
hex11dc6ad2ff1d8

314214123041240 has 64 divisors (see below), whose sum is σ = 707277035900160. Its totient is φ = 125633169279360.

The previous prime is 314214123041209. The next prime is 314214123041243. The reversal of 314214123041240 is 42140321412413.

It is a junction number, because it is equal to n+sod(n) for n = 314214123041197 and 314214123041206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314214123041243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982118339 + ... + 982438221.

It is an arithmetic number, because the mean of its divisors is an integer number (11051203685940).

Almost surely, 2314214123041240 is an apocalyptic number.

It is an amenable number.

314214123041240 is an abundant number, since it is smaller than the sum of its proper divisors (393062912858920).

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

314214123041240 is a wasteful number, since it uses less digits than its factorization.

314214123041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330072 (or 330068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 314214123041240 its reverse (42140321412413), we get a palindrome (356354444453653).

The spelling of 314214123041240 in words is "three hundred fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3931 6247 7862 12494 15724 19655 24988 31235 31448 39310 49976 62470 78620 124940 157240 249880 319883 639766 1279532 1599415 2559064 3198830 6397660 12795320 24556957 49113914 98227828 122784785 196455656 245569570 491139140 982278280 1257460073 1998309101 2514920146 3996618202 5029840292 6287300365 7993236404 9991545505 10059680584 12574600730 15986472808 19983091010 25149201460 39966182020 50298402920 79932364040 7855353076031 15710706152062 31421412304124 39276765380155 62842824608248 78553530760310 157107061520620 314214123041240