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202421441404 = 2271317107305719
BaseRepresentation
bin1011110010000101000…
…0100001001101111100
3201100111002122122122101
42330201100201031330
511304024342111104
6232554025554444
720424122601640
oct2744120411574
9640432578571
10202421441404
1178934698a46
1233292645a24
131611bba4340
149b23922c20
1553ead335a4
hex2f2142137c

202421441404 has 96 divisors (see below), whose sum is σ = 465946629120. Its totient is φ = 74663672832.

The previous prime is 202421441389. The next prime is 202421441429. The reversal of 202421441404 is 404144124202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 509257 + ... + 814975.

It is an arithmetic number, because the mean of its divisors is an integer number (4853610720).

Almost surely, 2202421441404 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 202421441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232973314560).

202421441404 is an abundant number, since it is smaller than the sum of its proper divisors (263525187716).

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

202421441404 is a wasteful number, since it uses less digits than its factorization.

202421441404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305867 (or 305865 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 202421441404 its reverse (404144124202), we get a palindrome (606565565606).

The spelling of 202421441404 in words is "two hundred two billion, four hundred twenty-one million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 107 119 182 214 221 238 364 428 442 476 749 884 1391 1498 1547 1819 2782 2996 3094 3638 5564 6188 7276 9737 12733 19474 23647 25466 38948 47294 50932 94588 165529 305719 331058 611438 662116 1222876 2140033 3974347 4280066 5197223 7948694 8560132 10394446 15897388 20788892 27820429 32711933 36380561 55640858 65423866 67563899 72761122 111281716 130847732 135127798 145522244 228983531 270255596 425255129 457967062 472947293 556102861 850510258 915934124 945894586 1112205722 1701020516 1891789172 2224411444 2976785903 3892720027 5953571806 7229337193 7785440054 11907143612 14458674386 15570880108 28917348772 50605360351 101210720702 202421441404