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314340001142140 = 225107146887851001
BaseRepresentation
bin100011101111000111111110…
…0000110110101010101111100
31112012222121111011000010120201
41013132033330012311111330
5312200121310243022030
63032313445235453244
7123132213156151621
oct10736177406652574
91465877434003521
10314340001142140
11911819338aa566
122b309246457224
131065219a549a2c
14578a1cc7d0348
152651a88a7b2ca
hex11de3fc1b557c

314340001142140 has 24 divisors (see below), whose sum is σ = 666283292145072. Its totient is φ = 124560897648000.

The previous prime is 314340001142107. The next prime is 314340001142161. The reversal of 314340001142140 is 41241100043413.

It is a junction number, because it is equal to n+sod(n) for n = 314340001142099 and 314340001142108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73443923361 + ... + 73443927640.

It is an arithmetic number, because the mean of its divisors is an integer number (27761803839378).

Almost surely, 2314340001142140 is an apocalyptic number.

It is an amenable number.

314340001142140 is an abundant number, since it is smaller than the sum of its proper divisors (351943291002932).

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

314340001142140 is a wasteful number, since it uses less digits than its factorization.

314340001142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146887851117 (or 146887851115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314340001142140 its reverse (41241100043413), we get a palindrome (355581101185553).

The spelling of 314340001142140 in words is "three hundred fourteen trillion, three hundred forty billion, one million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 146887851001 293775702002 587551404004 734439255005 1468878510010 2937757020020 15717000057107 31434000114214 62868000228428 78585000285535 157170000571070 314340001142140