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314424122044140 = 223251746800678023
BaseRepresentation
bin100011101111101111001001…
…0000110100110111011101100
31112020021122121200022201101200
41013133132102012212323230
5312203011100220403030
63032420240402405500
7123141251600056023
oct10737362206467354
91466248550281350
10314424122044140
1191204580968279
122b321602360890
131065a0b53548a4
1457902cc9918ba
152653d5dc02d60
hex11df7921a6eec

314424122044140 has 36 divisors (see below), whose sum is σ = 953753170201104. Its totient is φ = 83846432545056.

The previous prime is 314424122044133. The next prime is 314424122044177. The reversal of 314424122044140 is 41440221424413.

314424122044140 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 24 + 12 + 204 + 414 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314424122044095 and 314424122044104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873400338832 + ... + 873400339191.

Almost surely, 2314424122044140 is an apocalyptic number.

314424122044140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314424122044140 is an abundant number, since it is smaller than the sum of its proper divisors (639329048156964).

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

314424122044140 is a wasteful number, since it uses less digits than its factorization.

314424122044140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746800678038 (or 1746800678033 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 314424122044140 its reverse (41440221424413), we get a palindrome (355864343468553).

The spelling of 314424122044140 in words is "three hundred fourteen trillion, four hundred twenty-four billion, one hundred twenty-two million, forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1746800678023 3493601356046 5240402034069 6987202712092 8734003390115 10480804068138 15721206102207 17468006780230 20961608136276 26202010170345 31442412204414 34936013560460 52404020340690 62884824408828 78606030511035 104808040681380 157212061022070 314424122044140