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2141121444 = 22372111093037
BaseRepresentation
bin111111110011110…
…1110101110100100
312112012220020110020
41333213232232210
513341111341234
6552243355140
7104026142400
oct17747565644
95465806406
102141121444
119a9675260
124b9082ab0
13281787c87
14164512100
15c7e8b549
hex7f9eeba4

2141121444 has 144 divisors (see below), whose sum is σ = 6400215360. Its totient is φ = 550851840.

The previous prime is 2141121427. The next prime is 2141121469. The reversal of 2141121444 is 4441211412.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703494 + ... + 706530.

It is an arithmetic number, because the mean of its divisors is an integer number (44445940).

Almost surely, 22141121444 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 2141121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200107680).

2141121444 is an abundant number, since it is smaller than the sum of its proper divisors (4259093916).

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

2141121444 is a wasteful number, since it uses less digits than its factorization.

2141121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3169 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 2141121444 is about 46272.2535003429. The cubic root of 2141121444 is about 1288.8838058207.

Adding to 2141121444 its reverse (4441211412), we get a palindrome (6582332856).

The spelling of 2141121444 in words is "two billion, one hundred forty-one million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 109 132 147 154 196 218 231 294 308 327 436 462 539 588 654 763 924 1078 1199 1308 1526 1617 2156 2289 2398 3037 3052 3234 3597 4578 4796 5341 6074 6468 7194 8393 9111 9156 10682 12148 14388 16023 16786 18222 21259 21364 25179 32046 33407 33572 36444 42518 50358 58751 63777 64092 66814 85036 100221 100716 117502 127554 133628 148813 176253 200442 233849 235004 255108 297626 331033 352506 400884 446439 467698 595252 662066 701547 705012 892878 935396 993099 1324132 1403094 1636943 1785756 1986198 2317231 2806188 3273886 3641363 3972396 4634462 4910829 6547772 6951693 7282726 9268924 9821658 10924089 13903386 14565452 16220617 19643316 21848178 25489541 27806772 32441234 43696356 48661851 50979082 64882468 76468623 97323702 101958164 152937246 178426787 194647404 305874492 356853574 535280361 713707148 1070560722 2141121444