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2144114662424 = 237103540768749
BaseRepresentation
bin11111001100110111001…
…100010101110000011000
321120222100001000020102212
4133030313030111300120
5240112121323144144
64320554230214252
7310623105631520
oct37146714256030
97528301006385
102144114662424
1175734a914789
122a76637b4388
1312725c723357
1475ac075c680
153ab9007349e
hex1f337315c18

2144114662424 has 64 divisors (see below), whose sum is σ = 4640064000000. Its totient is φ = 909803332224.

The previous prime is 2144114662387. The next prime is 2144114662427. The reversal of 2144114662424 is 4242664114412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144114662427) 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, 31153202 + ... + 31221950.

It is an arithmetic number, because the mean of its divisors is an integer number (72501000000).

Almost surely, 22144114662424 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 2144114662424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320032000000).

2144114662424 is an abundant number, since it is smaller than the sum of its proper divisors (2495949337576).

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

2144114662424 is a wasteful number, since it uses less digits than its factorization.

2144114662424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74272 (or 74268 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

Adding to 2144114662424 its reverse (4242664114412), we get a palindrome (6386778776836).

The spelling of 2144114662424 in words is "two trillion, one hundred forty-four billion, one hundred fourteen million, six hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5407 5768 10814 21628 37849 43256 68749 75698 137498 151396 274996 302792 481243 549992 556921 962486 1113842 1924972 2227684 3849944 3898447 4455368 7081147 7796894 14162294 15593788 28324588 31187576 49568029 56649176 99136058 198272116 371725843 396544232 743451686 1486903372 2602080901 2973806744 5204161802 10408323604 20816647208 38287761829 76575523658 153151047316 268014332803 306302094632 536028665606 1072057331212 2144114662424