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414154355053 = 2941348321577
BaseRepresentation
bin1100000011011011000…
…01011111000101101101
31110121000010111002220011
412001231201133011231
523241142003330203
6514132045053221
741631062635165
oct6015541370555
91417003432804
10414154355053
1114a70737789a
1268323557211
1330092c1246a
141608bd795a5
15ab8e36b76d
hex606d85f16d

414154355053 has 8 divisors (see below), whose sum is σ = 438885188280. Its totient is φ = 390120165120.

The previous prime is 414154354987. The next prime is 414154355057. The reversal of 414154355053 is 350553451414.

It can be written as a sum of positive squares in 4 ways, for example, as 37823637289 + 376330717764 = 194483^2 + 613458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414154355053 - 221 = 414152257901 is a prime.

It is a super-3 number, since 3×4141543550533 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414154354997 and 414154355015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414154355057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174159600 + ... + 174161977.

It is an arithmetic number, because the mean of its divisors is an integer number (54860648535).

Almost surely, 2414154355053 is an apocalyptic number.

It is an amenable number.

414154355053 is a deficient number, since it is larger than the sum of its proper divisors (24730833227).

414154355053 is a wasteful number, since it uses less digits than its factorization.

414154355053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348321647.

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 414154355053 in words is "four hundred fourteen billion, one hundred fifty-four million, three hundred fifty-five thousand, fifty-three".

Divisors: 1 29 41 1189 348321577 10101325733 14281184657 414154355053