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4221501040 = 2454110112743
BaseRepresentation
bin1111101110011110…
…1111111001110000
3101220012111110202101
43323213233321300
532121201013130
61534521230144
7206420111131
oct37347577160
911805443671
104221501040
111876a22239
12999932354
13523796413
142c0931c88
1519a92a1ca
hexfb9efe70

4221501040 has 80 divisors (see below), whose sum is σ = 10154725056. Its totient is φ = 1630976000.

The previous prime is 4221501017. The next prime is 4221501059. The reversal of 4221501040 is 401051224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4221500999 and 4221501017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324909 + ... + 337651.

Almost surely, 24221501040 is an apocalyptic number.

4221501040 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 4221501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077362528).

4221501040 is an abundant number, since it is smaller than the sum of its proper divisors (5933224016).

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

4221501040 is a wasteful number, since it uses less digits than its factorization.

4221501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12898 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4221501040 is about 64973.0793482962. The cubic root of 4221501040 is about 1616.1771670446.

Adding to 4221501040 its reverse (401051224), we get a palindrome (4622552264).

The spelling of 4221501040 in words is "four billion, two hundred twenty-one million, five hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 101 164 202 205 328 404 410 505 656 808 820 1010 1616 1640 2020 3280 4040 4141 8080 8282 12743 16564 20705 25486 33128 41410 50972 63715 66256 82820 101944 127430 165640 203888 254860 331280 509720 522463 1019440 1044926 1287043 2089852 2574086 2612315 4179704 5148172 5224630 6435215 8359408 10296344 10449260 12870430 20592688 20898520 25740860 41797040 51481720 52768763 102963440 105537526 211075052 263843815 422150104 527687630 844300208 1055375260 2110750520 4221501040