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2014324341312 = 263174331425251
BaseRepresentation
bin11101010011111111000…
…101100011101001000000
321010120022201121210011210
4131103333011203221000
5231000314012410222
64141211241210120
7265346556253053
oct35237705435100
97116281553153
102014324341312
117072a7639498
12286481190940
13117c4711448a
146d6cb074a9a
15375e582bd0c
hex1d4ff163a40

2014324341312 has 112 divisors (see below), whose sum is σ = 5656106860992. Its totient is φ = 630484992000.

The previous prime is 2014324341307. The next prime is 2014324341317. The reversal of 2014324341312 is 2131434234102.

It is an interprime number because it is at equal distance from previous prime (2014324341307) and next prime (2014324341317).

It is a self number, because there is not a number n which added to its sum of digits gives 2014324341312.

It is not an unprimeable number, because it can be changed into a prime (2014324341317) 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, 700687 + ... + 2125937.

It is an arithmetic number, because the mean of its divisors is an integer number (50500954116).

Almost surely, 22014324341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014324341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828053430496).

2014324341312 is an abundant number, since it is smaller than the sum of its proper divisors (3641782519680).

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

2014324341312 is a wasteful number, since it uses less digits than its factorization.

2014324341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425716 (or 1425706 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2014324341312 its reverse (2131434234102), we get a palindrome (4145758575414).

The spelling of 2014324341312 in words is "two trillion, fourteen billion, three hundred twenty-four million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 433 544 816 866 1088 1299 1632 1732 2598 3264 3464 5196 6928 7361 10392 13856 14722 20784 22083 27712 29444 41568 44166 58888 83136 88332 117776 176664 235552 353328 471104 706656 1413312 1425251 2850502 4275753 5701004 8551506 11402008 17103012 22804016 24229267 34206024 45608032 48458534 68412048 72687801 91216064 96917068 136824096 145375602 193834136 273648192 290751204 387668272 581502408 617133683 775336544 1163004816 1234267366 1550673088 1851401049 2326009632 2468534732 3702802098 4652019264 4937069464 7405604196 9874138928 10491272611 14811208392 19748277856 20982545222 29622416784 31473817833 39496555712 41965090444 59244833568 62947635666 83930180888 118489667136 125895271332 167860361776 251790542664 335720723552 503581085328 671441447104 1007162170656 2014324341312