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414533105540 = 22543797604787
BaseRepresentation
bin1100000100001000001…
…10010011011110000100
31110121222112011121212222
412002010012103132010
523242430433334130
6514233415031512
741643342155051
oct6020406233604
91417875147788
10414533105540
1114a891149724
126840a36b598
1330123523988
14160c63ac028
15abb2733ce5
hex6084193784

414533105540 has 48 divisors (see below), whose sum is σ = 891883282752. Its totient is φ = 161753644416.

The previous prime is 414533105531. The next prime is 414533105543. The reversal of 414533105540 is 45501335414.

It is a self number, because there is not a number n which added to its sum of digits gives 414533105540.

It is not an unprimeable number, because it can be changed into a prime (414533105543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383027 + ... + 987813.

It is an arithmetic number, because the mean of its divisors is an integer number (18580901724).

Almost surely, 2414533105540 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 414533105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445941641376).

414533105540 is an abundant number, since it is smaller than the sum of its proper divisors (477350177212).

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

414533105540 is a wasteful number, since it uses less digits than its factorization.

414533105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605636 (or 605634 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 414533105540 in words is "four hundred fourteen billion, five hundred thirty-three million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 797 860 1594 3188 3985 7970 15940 34271 68542 137084 171355 342710 604787 685420 1209574 2419148 3023935 6047870 12095740 26005841 52011682 104023364 130029205 260058410 482015239 520116820 964030478 1928060956 2410076195 4820152390 9640304780 20726655277 41453310554 82906621108 103633276385 207266552770 414533105540