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2141043424 = 251321967311
BaseRepresentation
bin111111110011101…
…1011101011100000
312112012202021102121
41333213123223200
513341101342144
6552241554024
7104025366052
oct17747335340
95465667377
102141043424
119a9621683
124b9045914
1328175b600
141644d18d2
15c7e73384
hex7f9dbae0

2141043424 has 144 divisors (see below), whose sum is σ = 4891985280. Its totient is φ = 919226880.

The previous prime is 2141043347. The next prime is 2141043439. The reversal of 2141043424 is 4243401412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6884229 + ... + 6884539.

It is an arithmetic number, because the mean of its divisors is an integer number (33972120).

Almost surely, 22141043424 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 2141043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445992640).

2141043424 is an abundant number, since it is smaller than the sum of its proper divisors (2750941856).

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

2141043424 is a wasteful number, since it uses less digits than its factorization.

2141043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2141043424 is about 46271.4104388444. The cubic root of 2141043424 is about 1288.8681504832.

Adding to 2141043424 its reverse (4243401412), we get a palindrome (6384444836).

The spelling of 2141043424 in words is "two billion, one hundred forty-one million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 67 76 104 134 152 169 208 247 268 304 311 338 416 494 536 608 622 676 871 988 1072 1244 1273 1352 1742 1976 2144 2488 2546 2704 3211 3484 3952 4043 4976 5092 5408 5909 6422 6968 7904 8086 9952 10184 11323 11818 12844 13936 16172 16549 20368 20837 22646 23636 25688 27872 32344 33098 40736 41674 45292 47272 51376 52559 64688 66196 76817 83348 90584 94544 102752 105118 129376 132392 153634 166696 181168 189088 210236 215137 264784 270881 307268 333392 362336 395903 420472 430274 529568 541762 614536 666784 791806 840944 860548 998621 1083524 1229072 1583612 1681888 1721096 1997242 2167048 2458144 3167224 3442192 3521453 3994484 4334096 5146739 6334448 6884384 7042906 7988968 8668192 10293478 12668896 14085812 15977936 20586956 28171624 31955872 41173912 56343248 66907607 82347824 112686496 133815214 164695648 267630428 535260856 1070521712 2141043424