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4221413671540 = 225131071072914143
BaseRepresentation
bin111101011011011111110…
…111001100001001110100
3112221120012120120121110111
4331123133313030021310
51023130423344442130
612551142441232404
7613662365110312
oct75333767141164
915846176517414
104221413671540
111388322a6917a
1258217aa92704
13248101649a70
141084633770b2
1574c1e34102a
hex3d6dfdcc274

4221413671540 has 96 divisors (see below), whose sum is σ = 9637692180480. Its totient is φ = 1543855666176.

The previous prime is 4221413671511. The next prime is 4221413671547. The reversal of 4221413671540 is 451763141224.

It is a junction number, because it is equal to n+sod(n) for n = 4221413671493 and 4221413671502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221413671547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298473709 + ... + 298487851.

It is an arithmetic number, because the mean of its divisors is an integer number (100392626880).

Almost surely, 24221413671540 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 4221413671540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818846090240).

4221413671540 is an abundant number, since it is smaller than the sum of its proper divisors (5416278508940).

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

4221413671540 is a wasteful number, since it uses less digits than its factorization.

4221413671540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 4221413671540 in words is "four trillion, two hundred twenty-one billion, four hundred thirteen million, six hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 10729 13910 14143 21458 27820 28286 42916 53645 56572 70715 107290 139477 141430 183859 214580 278954 282860 367718 557908 697385 735436 919295 1148003 1394770 1513301 1838590 2296006 2789540 3026602 3677180 4592012 5740015 6053204 7566505 11480030 14924039 15133010 19672913 22960060 29848078 30266020 39345826 59696156 74620195 78691652 98364565 149240390 151740247 196729130 298480780 303480494 393458260 606960988 758701235 1517402470 1972623211 3034804940 3945246422 7890492844 9863116055 16236206429 19726232110 32472412858 39452464220 64944825716 81181032145 162362064290 211070683577 324724128580 422141367154 844282734308 1055353417885 2110706835770 4221413671540