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2103441408 = 21132139821
BaseRepresentation
bin111110101011111…
…1111100000000000
312102120222220011100
41331113333200000
513301440111113
6544420014400
7103060646145
oct17527774000
95376886140
102103441408
1198a379732
124a8531400
13276a243b3
1415d5043cc
15c49e6d73
hex7d5ff800

2103441408 has 144 divisors (see below), whose sum is σ = 6126283800. Its totient is φ = 695255040.

The previous prime is 2103441407. The next prime is 2103441451. The reversal of 2103441408 is 8041443012.

2103441408 is a `hidden beast` number, since 210 + 3 + 4 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×21034414083 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103441407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2561638 + ... + 2562458.

Almost surely, 22103441408 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 2103441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063141900).

2103441408 is an abundant number, since it is smaller than the sum of its proper divisors (4022842392).

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

2103441408 is a wasteful number, since it uses less digits than its factorization.

2103441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2103441408 is about 45863.2904183727. The cubic root of 2103441408 is about 1281.2783062935.

The spelling of 2103441408 in words is "two billion, one hundred three million, four hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 512 556 576 768 821 834 1024 1112 1152 1251 1536 1642 1668 2048 2224 2304 2463 2502 3072 3284 3336 4448 4608 4926 5004 6144 6568 6672 7389 8896 9216 9852 10008 13136 13344 14778 17792 18432 19704 20016 26272 26688 29556 35584 39408 40032 52544 53376 59112 71168 78816 80064 105088 106752 114119 118224 142336 157632 160128 210176 213504 228238 236448 284672 315264 320256 342357 420352 427008 456476 472896 630528 640512 684714 840704 854016 912952 945792 1027071 1261056 1281024 1369428 1681408 1825904 1891584 2054142 2522112 2562048 2738856 3651808 3783168 4108284 5044224 5477712 7303616 7566336 8216568 10955424 14607232 15132672 16433136 21910848 29214464 32866272 43821696 58428928 65732544 87643392 116857856 131465088 175286784 233715712 262930176 350573568 525860352 701147136 1051720704 2103441408