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314004004002 = 23413211469209
BaseRepresentation
bin1001001000111000001…
…10001101110010100010
31010000111110221010210000
410210130012031302202
520121040011112002
6400130151320430
731454211665343
oct4443406156242
91100443833700
10314004004002
1111119408a827
1250a33380116
13237c2210100
14112aad7c0ca
15827bd3361c
hex491c18dca2

314004004002 has 60 divisors (see below), whose sum is σ = 761888151090. Its totient is φ = 96616608192.

The previous prime is 314004004001. The next prime is 314004004007. The reversal of 314004004002 is 200400400413.

It can be written as a sum of positive squares in 3 ways, for example, as 177038136081 + 136965867921 = 420759^2 + 370089^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (314004004001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5707227 + ... + 5761982.

Almost surely, 2314004004002 is an apocalyptic number.

314004004002 is an abundant number, since it is smaller than the sum of its proper divisors (447884147088).

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

314004004002 is a wasteful number, since it uses less digits than its factorization.

314004004002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469249 (or 11469227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 314004004002 its reverse (200400400413), we get a palindrome (514404404415).

The spelling of 314004004002 in words is "three hundred fourteen billion, four million, four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 11469209 22938418 34407627 68815254 103222881 149099717 206445762 298199434 309668643 447299151 619337286 894598302 929005929 1341897453 1858011858 1938296321 2683794906 3876592642 4025692359 5814888963 8051384718 11629777926 12077077077 17444666889 24154154154 34889333778 52334000667 104668001334 157002002001 314004004002