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4342145444500 = 22535922494769
BaseRepresentation
bin111111001011111100000…
…010010110101010010100
3120101002211120201010202011
4333023330002112222110
51032120203213211000
613122430514154004
7625465261205503
oct77137402265224
916332746633664
104342145444500
1114245479a4136
125a1653882904
13256602319486
1411023796883a
1577e386932ba
hex3f2fc096a94

4342145444500 has 72 divisors (see below), whose sum is σ = 9646706782440. Its totient is φ = 1707419219200.

The previous prime is 4342145444473. The next prime is 4342145444513. The reversal of 4342145444500 is 54445412434.

It can be written as a sum of positive squares in 4 ways, for example, as 1304173136016 + 3037972308484 = 1142004^2 + 1742978^2 .

It is a super-2 number, since 2×43421454445002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493116 + ... + 2987884.

It is an arithmetic number, because the mean of its divisors is an integer number (133982038645).

Almost surely, 24342145444500 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 4342145444500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823353391220).

4342145444500 is an abundant number, since it is smaller than the sum of its proper divisors (5304561337940).

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

4342145444500 is a wasteful number, since it uses less digits than its factorization.

4342145444500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494906 (or 2494835 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 4342145444500 in words is "four trillion, three hundred forty-two billion, one hundred forty-five million, four hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 236 250 295 500 590 1180 1475 2950 3481 5900 6962 7375 13924 14750 17405 29500 34810 69620 87025 174050 348100 435125 870250 1740500 2494769 4989538 9979076 12473845 24947690 49895380 62369225 124738450 147191371 249476900 294382742 311846125 588765484 623692250 735956855 1247384500 1471913710 2943827420 3679784275 7359568550 8684290889 14719137100 17368581778 18398921375 34737163556 36797842750 43421454445 73595685500 86842908890 173685817780 217107272225 434214544450 868429088900 1085536361125 2171072722250 4342145444500