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202344441420 = 2235111032976529
BaseRepresentation
bin1011110001110010101…
…0110010011001001100
3201100021201202122112010
42330130222302121030
511303400134111140
6232542235341220
720422166242122
oct2743452623114
9640251678463
10202344441420
11788a51867a0
12332708b1810
1316108c54614
149b175db912
1553e41c3880
hex2f1cab264c

202344441420 has 96 divisors (see below), whose sum is σ = 624071185920. Its totient is φ = 48576936960.

The previous prime is 202344441391. The next prime is 202344441427. The reversal of 202344441420 is 24144443202.

202344441420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2023444414203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (202344441427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420285 + ... + 1556244.

It is an arithmetic number, because the mean of its divisors is an integer number (6500741520).

Almost surely, 2202344441420 is an apocalyptic number.

202344441420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202344441420 is an abundant number, since it is smaller than the sum of its proper divisors (421726744500).

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

202344441420 is a wasteful number, since it uses less digits than its factorization.

202344441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976655 (or 2976653 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 202344441420 its reverse (24144443202), we get a palindrome (226488884622).

The spelling of 202344441420 in words is "two hundred two billion, three hundred forty-four million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 67980 2976529 5953058 8929587 11906116 14882645 17859174 29765290 32741819 35718348 44647935 59530580 65483638 89295870 98225457 130967276 163709095 178591740 196450914 306582487 327418190 392901828 491127285 613164974 654836380 919747461 982254570 1226329948 1532912435 1839494922 1964509140 3065824870 3372407357 3678989844 4598737305 6131649740 6744814714 9197474610 10117222071 13489629428 16862036785 18394949220 20234444142 33724073570 40468888284 50586110355 67448147140 101172220710 202344441420