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2014001021344 = 251311342843793
BaseRepresentation
bin11101010011101011110…
…100001100000110100000
321010112111012020102120011
4131103223310030012200
5230444133230140334
64141115211254304
7265335552136204
oct35235364140640
97115435212504
102014001021344
11707151087404
122863b0a4a394
13117bc51400a0
146d69a150b04
15375c7263564
hex1d4ebd0c1a0

2014001021344 has 48 divisors (see below), whose sum is σ = 4307857799112. Its totient is φ = 921312903168.

The previous prime is 2014001021339. The next prime is 2014001021437. The reversal of 2014001021344 is 4431201004102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1378135123600 + 635865897744 = 1173940^2 + 797412^2 .

It is a super-2 number, since 2×20140010213442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21374889 + ... + 21468904.

Almost surely, 22014001021344 is an apocalyptic number.

It is an amenable number.

2014001021344 is an abundant number, since it is smaller than the sum of its proper divisors (2293856777768).

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

2014001021344 is a wasteful number, since it uses less digits than its factorization.

2014001021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42843929 (or 42843921 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2014001021344 its reverse (4431201004102), we get a palindrome (6445202025446).

The spelling of 2014001021344 in words is "two trillion, fourteen billion, one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1808 2938 3616 5876 11752 23504 47008 42843793 85687586 171375172 342750344 556969309 685500688 1113938618 1371001376 2227877236 4455754472 4841348609 8911508944 9682697218 17823017888 19365394436 38730788872 62937531917 77461577744 125875063834 154923155488 251750127668 503500255336 1007000510672 2014001021344