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14564142402006 = 23312069301112569
BaseRepresentation
bin1101001111101111101010…
…0010001100100111010110
31220120022121010101022000210
43103323322202030213112
53402104330423331011
650550401420350250
73032140011554421
oct323737242144726
956508533338023
1014564142402006
11470568877707a
1217727659a5386
13818514abc042
14384ca03669b8
151a3ca7c876a6
hexd3efa88c9d6

14564142402006 has 64 divisors (see below), whose sum is σ = 30094824499200. Its totient is φ = 4693906694400.

The previous prime is 14564142401987. The next prime is 14564142402049. The reversal of 14564142402006 is 60020424146541.

It is a super-2 number, since 2×145641424020062 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158728890 + ... + 1158741458.

It is an arithmetic number, because the mean of its divisors is an integer number (470231632800).

Almost surely, 214564142402006 is an apocalyptic number.

14564142402006 is an abundant number, since it is smaller than the sum of its proper divisors (15530682097194).

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

14564142402006 is a wasteful number, since it uses less digits than its factorization.

14564142402006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17685.

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 14564142402006 its reverse (60020424146541), we get a palindrome (74584566548547).

The spelling of 14564142402006 in words is "fourteen trillion, five hundred sixty-four billion, one hundred forty-two million, four hundred two thousand, six".

Divisors: 1 2 3 6 31 62 93 186 2069 3011 4138 6022 6207 9033 12414 12569 18066 25138 37707 64139 75414 93341 128278 186682 192417 280023 384834 389639 560046 779278 1168917 2337834 6229759 12459518 18689277 26005261 37378554 37845259 52010522 75690518 78015783 113535777 156031566 193122529 227071554 386245058 579367587 806163091 1158735174 1173203029 1612326182 2346406058 2418489273 3519609087 4836978546 7039218174 78301840871 156603681742 234905522613 469811045226 2427357067001 4854714134002 7282071201003 14564142402006