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2114371056 = 2437171971879
BaseRepresentation
bin111111000000110…
…1011110111110000
312110100120011211010
41332001223313300
513312234333211
6545450150520
7103252600050
oct17601536760
95410504733
102114371056
119955642a6
124b0122440
13279080145
14160b4b560
15c59554a6
hex7e06bdf0

2114371056 has 160 divisors (see below), whose sum is σ = 6646717440. Its totient is φ = 565383168.

The previous prime is 2114371037. The next prime is 2114371069. The reversal of 2114371056 is 6501734112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124325 + ... + 1126203.

It is an arithmetic number, because the mean of its divisors is an integer number (41541984).

Almost surely, 22114371056 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 2114371056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323358720).

2114371056 is an abundant number, since it is smaller than the sum of its proper divisors (4532346384).

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

2114371056 is a wasteful number, since it uses less digits than its factorization.

2114371056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2114371056 is about 45982.2906780426. The cubic root of 2114371056 is about 1283.4936814466.

The spelling of 2114371056 in words is "two billion, one hundred fourteen million, three hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 197 204 238 272 336 357 394 408 476 591 714 788 816 952 1182 1379 1428 1576 1879 1904 2364 2758 2856 3152 3349 3758 4137 4728 5516 5637 5712 6698 7516 8274 9456 10047 11032 11274 13153 13396 15032 16548 20094 22064 22548 23443 26306 26792 30064 31943 33096 39459 40188 45096 46886 52612 53584 63886 66192 70329 78918 80376 90192 93772 95829 105224 127772 140658 157836 160752 187544 191658 210448 223601 255544 281316 315672 370163 375088 383316 447202 511088 562632 631344 670803 740326 766632 894404 1110489 1125264 1341606 1480652 1533264 1788808 2220978 2591141 2683212 2961304 3577616 4441956 5182282 5366424 5922608 6292771 7773423 8883912 10364564 10732848 12585542 15546846 17767824 18878313 20729128 25171084 31093692 37756626 41458256 44049397 50342168 62187384 75513252 88098794 100684336 124374768 132148191 151026504 176197588 264296382 302053008 352395176 528592764 704790352 1057185528 2114371056