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414151411157 = 11537110005349
BaseRepresentation
bin1100000011011010101…
…10010000010111010101
31110120222220221112121222
412001231112100113111
523241140230124112
6514131502020125
741631025624331
oct6015526202725
91416886845558
10414151411157
1114a705747020
1268322577645
1330092421503
141608b8107c1
15ab8de89372
hex606d5905d5

414151411157 has 16 divisors (see below), whose sum is σ = 466809609600. Its totient is φ = 364194667200.

The previous prime is 414151411153. The next prime is 414151411183. The reversal of 414151411157 is 751114151414.

It is a cyclic number.

It is not a de Polignac number, because 414151411157 - 22 = 414151411153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414151411153) 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, 4961282 + ... + 5044067.

It is an arithmetic number, because the mean of its divisors is an integer number (29175600600).

Almost surely, 2414151411157 is an apocalyptic number.

It is an amenable number.

414151411157 is a deficient number, since it is larger than the sum of its proper divisors (52658198443).

414151411157 is a wasteful number, since it uses less digits than its factorization.

414151411157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005484.

The product of its digits is 11200, while the sum is 35.

The spelling of 414151411157 in words is "four hundred fourteen billion, one hundred fifty-one million, four hundred eleven thousand, one hundred fifty-seven".

Divisors: 1 11 53 71 583 781 3763 41393 10005349 110058839 530283497 710379779 5833118467 7814177569 37650128287 414151411157