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4221240421224 = 2331737833368993
BaseRepresentation
bin111101011011010101100…
…010010010101101101000
3112221112202111120120201010
4331123111202102231220
51023130100021434344
612551113332023520
7613655162363331
oct75332542225550
915845674516633
104221240421224
1113882441966a2
12582130a61ba0
132480a479a198
14108448359288
1574c0e01c8b9
hex3d6d5892b68

4221240421224 has 128 divisors (see below), whose sum is σ = 11614135155840. Its totient is φ = 1272993841152.

The previous prime is 4221240421219. The next prime is 4221240421243.

4221240421224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4221240421191 and 4221240421200.

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, 431529 + ... + 2937464.

It is an arithmetic number, because the mean of its divisors is an integer number (90735430905).

Almost surely, 24221240421224 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 4221240421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807067577920).

4221240421224 is an abundant number, since it is smaller than the sum of its proper divisors (7392894734616).

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

4221240421224 is a wasteful number, since it uses less digits than its factorization.

4221240421224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369139 (or 3369135 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4221240 and 421224, that added together give a palindrome (4642464).

The spelling of 4221240421224 in words is "four trillion, two hundred twenty-one billion, two hundred forty million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 83 102 111 136 148 166 204 222 249 296 332 408 444 498 629 664 888 996 1258 1411 1887 1992 2516 2822 3071 3774 4233 5032 5644 6142 7548 8466 9213 11288 12284 15096 16932 18426 24568 33864 36852 52207 73704 104414 156621 208828 313242 417656 626484 1252968 3368993 6737986 10106979 13475972 20213958 26951944 40427916 57272881 80855832 114545762 124652741 171818643 229091524 249305482 279626419 343637286 373958223 458183048 498610964 559252838 687274572 747916446 838879257 997221928 1118505676 1374549144 1495832892 1677758514 2119096597 2237011352 2991665784 3355517028 4238193194 4753649123 6357289791 6711034056 8476386388 9507298246 10346177503 12714579582 14260947369 16952772776 19014596492 20692355006 25429159164 28521894738 31038532509 38029192984 41384710012 50858318328 57043789476 62077065018 82769420024 114087578952 124154130036 175885017551 248308260072 351770035102 527655052653 703540070204 1055310105306 1407080140408 2110620210612 4221240421224