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413144701 = 2937834639
BaseRepresentation
bin11000101000000…
…001011001111101
31001210101220222121
4120220001121331
51321231112301
6104555042541
713144446334
oct3050013175
91053356877
10413144701
111a2233802
12b6440451
1367794628
143cc26d1b
152640d3a1
hex18a0167d

413144701 has 16 divisors (see below), whose sum is σ = 444326400. Its totient is φ = 383358528.

The previous prime is 413144689. The next prime is 413144707. The reversal of 413144701 is 107441314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413144701 - 225 = 379590269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413144707) 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, 86740 + ... + 91378.

It is an arithmetic number, because the mean of its divisors is an integer number (27770400).

Almost surely, 2413144701 is an apocalyptic number.

It is an amenable number.

413144701 is a deficient number, since it is larger than the sum of its proper divisors (31181699).

413144701 is a wasteful number, since it uses less digits than its factorization.

413144701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 413144701 is about 20325.9612564818. The cubic root of 413144701 is about 744.7903865040.

The spelling of 413144701 in words is "four hundred thirteen million, one hundred forty-four thousand, seven hundred one".

Divisors: 1 29 37 83 1073 2407 3071 4639 89059 134531 171643 385037 4977647 11166073 14246369 413144701