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2144514726354 = 2371113540766037
BaseRepresentation
bin11111001101001111000…
…010011101100111010010
321121000100220210120222110
4133031033002131213102
5240113431232220404
64321102041050150
7310636034260620
oct37151702354722
97530326716873
102144514726354
11757535723730
122a7755786956
131272c4587a80
1475b1b93c510
153abb524ab89
hex1f34f09d9d2

2144514726354 has 128 divisors (see below), whose sum is σ = 5759849152512. Its totient is φ = 514066487040.

The previous prime is 2144514726313. The next prime is 2144514726407. The reversal of 2144514726354 is 4536274154412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32441424 + ... + 32507460.

It is an arithmetic number, because the mean of its divisors is an integer number (44998821504).

Almost surely, 22144514726354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144514726354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879924576256).

2144514726354 is an abundant number, since it is smaller than the sum of its proper divisors (3615334426158).

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

2144514726354 is a wasteful number, since it uses less digits than its factorization.

2144514726354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71480.

The product of its digits is 3225600, while the sum is 48.

The spelling of 2144514726354 in words is "two trillion, one hundred forty-four billion, five hundred fourteen million, seven hundred twenty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 5407 6006 10814 16221 32442 37849 59477 66037 70291 75698 113547 118954 132074 140582 178431 198111 210873 227094 356862 396222 416339 421746 462259 492037 726407 773201 832678 858481 924518 984074 1249017 1386777 1452814 1476111 1546402 1716962 2179221 2319603 2498034 2575443 2773554 2952222 4358442 4639206 5084849 5150886 5412407 6009367 9443291 10169698 10824814 12018734 15254547 16237221 18028101 18886582 28329873 30509094 32474442 36056202 56659746 66103037 132206074 198309111 357062059 396618222 714124118 1071186177 2142372354 2499434413 3927682649 4641806767 4998868826 7498303239 7855365298 9283613534 11783047947 13925420301 14996606478 23566095894 27493778543 27850840602 32492647369 51059874437 54987557086 64985294738 82481335629 97477942107 102119748874 153179623311 164962671258 194955884214 306359246622 357419121059 714838242118 1072257363177 2144514726354