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4211102240 = 255194729473
BaseRepresentation
bin1111101100000000…
…0101001000100000
3101212110221011021122
43323000011020200
532111020232430
61533510311412
7206232531002
oct37300051040
911773834248
104211102240
11187106a494
12996358568
13521595197
142bd3c6372
15199a73ee5
hexfb005220

4211102240 has 96 divisors (see below), whose sum is σ = 10695525120. Its totient is φ = 1561780224.

The previous prime is 4211102179. The next prime is 4211102299. The reversal of 4211102240 is 422011124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128144 + ... + 157616.

It is an arithmetic number, because the mean of its divisors is an integer number (111411720).

Almost surely, 24211102240 is an apocalyptic number.

4211102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347762560).

4211102240 is an abundant number, since it is smaller than the sum of its proper divisors (6484422880).

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

4211102240 is a wasteful number, since it uses less digits than its factorization.

4211102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29554 (or 29546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4211102240 is about 64893.0060946478. The cubic root of 4211102240 is about 1614.8490358494.

Adding to 4211102240 its reverse (422011124), we get a palindrome (4633113364).

The spelling of 4211102240 in words is "four billion, two hundred eleven million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 47 76 80 94 95 152 160 188 190 235 304 376 380 470 608 752 760 893 940 1504 1520 1786 1880 3040 3572 3760 4465 7144 7520 8930 14288 17860 28576 29473 35720 58946 71440 117892 142880 147365 235784 294730 471568 559987 589460 943136 1119974 1178920 1385231 2239948 2357840 2770462 2799935 4479896 4715680 5540924 5599870 6926155 8959792 11081848 11199740 13852310 17919584 22163696 22399480 26319389 27704620 44327392 44798960 52638778 55409240 89597920 105277556 110818480 131596945 210555112 221636960 263193890 421110224 526387780 842220448 1052775560 2105551120 4211102240