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4031430144 = 29372111777
BaseRepresentation
bin1111000001001010…
…1011111000000000
3101101221211212111120
43300102223320000
531224021231034
61504011312240
7201621406440
oct36022537000
911357755446
104031430144
111789701155
1294614b680
134c32a7631
142a35b6120
15188dd2c49
hexf04abe00

4031430144 has 160 divisors (see below), whose sum is σ = 12339376896. Its totient is φ = 1145733120.

The previous prime is 4031430131. The next prime is 4031430173. The reversal of 4031430144 is 4410341304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267784 + ... + 2269560.

Almost surely, 24031430144 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 4031430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169688448).

4031430144 is an abundant number, since it is smaller than the sum of its proper divisors (8307946752).

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

4031430144 is a wasteful number, since it uses less digits than its factorization.

4031430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4031430144 is about 63493.5441127679. The cubic root of 4031430144 is about 1591.5478965032.

Adding to 4031430144 its reverse (4410341304), we get a palindrome (8441771448).

The spelling of 4031430144 in words is "four billion, thirty-one million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 256 336 384 422 448 512 633 672 768 844 896 1266 1344 1477 1536 1688 1777 1792 2532 2688 2954 3376 3554 3584 4431 5064 5331 5376 5908 6752 7108 8862 10128 10662 10752 11816 12439 13504 14216 17724 20256 21324 23632 24878 27008 28432 35448 37317 40512 42648 47264 49756 54016 56864 70896 74634 81024 85296 94528 99512 108032 113728 141792 149268 162048 170592 189056 199024 227456 283584 298536 324096 341184 374947 378112 398048 454912 567168 597072 682368 749894 756224 796096 909824 1124841 1134336 1194144 1364736 1499788 1592192 2249682 2268672 2388288 2624629 2729472 2999576 3184384 4499364 4776576 5249258 5999152 6368768 7873887 8998728 9553152 10498516 11998304 15747774 17997456 19106304 20997032 23996608 31495548 35994912 41994064 47993216 62991096 71989824 83988128 95986432 125982192 143979648 167976256 191972864 251964384 287959296 335952512 503928768 575918592 671905024 1007857536 1343810048 2015715072 4031430144