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414445243100 = 225271697348889
BaseRepresentation
bin1100000011111101101…
…11001000101011011100
31110121202101211202021112
412001332313020223130
523242240440234400
6514220555521152
741641224304250
oct6017667105334
91417671752245
10414445243100
1114a846598339
12683a4a591b8
133010b26c975
14160b885a260
15aba9b7a835
hex607edc8adc

414445243100 has 72 divisors (see below), whose sum is σ = 1028432821920. Its totient is φ = 142011371520.

The previous prime is 414445243063. The next prime is 414445243129. The reversal of 414445243100 is 1342544414.

It is a super-2 number, since 2×4144452431002 (a number of 24 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, 1013456 + ... + 1362344.

Almost surely, 2414445243100 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 414445243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514216410960).

414445243100 is an abundant number, since it is smaller than the sum of its proper divisors (613987578820).

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

414445243100 is a wasteful number, since it uses less digits than its factorization.

414445243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350607 (or 350600 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 414445243100 its reverse (1342544414), we get a palindrome (415787787514).

The spelling of 414445243100 in words is "four hundred fourteen billion, four hundred forty-five million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1697 3394 6788 8485 11879 16970 23758 33940 42425 47516 59395 84850 118790 169700 237580 296975 348889 593950 697778 1187900 1395556 1744445 2442223 3488890 4884446 6977780 8722225 9768892 12211115 17444450 24422230 34888900 48844460 61055575 122111150 244222300 592064633 1184129266 2368258532 2960323165 4144452431 5920646330 8288904862 11841292660 14801615825 16577809724 20722262155 29603231650 41444524310 59206463300 82889048620 103611310775 207222621550 414445243100