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414244144002 = 231315135171009
BaseRepresentation
bin1100000011100101110…
…00000000001110000010
31110121020101102212011210
412001302320000032002
523241333000102002
6514145013350550
741633233061433
oct6016270001602
91417211385153
10414244144002
1114a753024637
1268349638456
13300a86bc310
1416099c6d48a
15ab971a596c
hex6072e00382

414244144002 has 32 divisors (see below), whose sum is σ = 898126911360. Its totient is φ = 126615628800.

The previous prime is 414244143917. The next prime is 414244144003. The reversal of 414244144002 is 200441442414.

It is not an unprimeable number, because it can be changed into a prime (414244144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17573727 + ... + 17597282.

It is an arithmetic number, because the mean of its divisors is an integer number (28066465980).

Almost surely, 2414244144002 is an apocalyptic number.

414244144002 is an abundant number, since it is smaller than the sum of its proper divisors (483882767358).

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

414244144002 is a wasteful number, since it uses less digits than its factorization.

414244144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35171178.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414244144002 its reverse (200441442414), we get a palindrome (614685586416).

The spelling of 414244144002 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 906 1963 3926 5889 11778 35171009 70342018 105513027 211026054 457223117 914446234 1371669351 2743338702 5310822359 10621644718 15932467077 31864934154 69040690667 138081381334 207122072001 414244144002