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2142655424 = 267131672203
BaseRepresentation
bin111111110110110…
…0101001111000000
312112022210011200022
41333231211033000
513342004433144
6552340313012
7104045161550
oct17755451700
95468704608
102142655424
119aa522808
124b96a2768
13281ba4260
141647d1160
15c8190cee
hex7fb653c0

2142655424 has 112 divisors (see below), whose sum is σ = 5266748928. Its totient is φ = 842185728.

The previous prime is 2142655399. The next prime is 2142655453. The reversal of 2142655424 is 4245562412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971507 + ... + 973709.

It is an arithmetic number, because the mean of its divisors is an integer number (47024544).

Almost surely, 22142655424 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 2142655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633374464).

2142655424 is an abundant number, since it is smaller than the sum of its proper divisors (3124093504).

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

2142655424 is a wasteful number, since it uses less digits than its factorization.

2142655424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2392 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The square root of 2142655424 is about 46288.8261246707. The cubic root of 2142655424 is about 1289.1915339682.

The spelling of 2142655424 in words is "two billion, one hundred forty-two million, six hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 167 182 208 224 334 364 416 448 668 728 832 1169 1336 1456 2171 2203 2338 2672 2912 4342 4406 4676 5344 5824 8684 8812 9352 10688 15197 15421 17368 17624 18704 28639 30394 30842 34736 35248 37408 57278 60788 61684 69472 70496 74816 114556 121576 123368 138944 140992 200473 229112 243152 246736 367901 400946 458224 486304 493472 735802 801892 916448 972608 986944 1471604 1603784 1832896 2575307 2943208 3207568 4782713 5150614 5886416 6415136 9565426 10301228 11772832 12830272 19130852 20602456 23545664 33478991 38261704 41204912 66957982 76523408 82409824 133915964 153046816 164819648 267831928 306093632 535663856 1071327712 2142655424