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201413241419 = 13234619471543
BaseRepresentation
bin1011101110010100101…
…0100010101001001011
3201020212211112210021012
42323211022202221023
511244443242211134
6232310012434135
720360131206245
oct2734512425113
9636784483235
10201413241419
1178467584415
1233050a7894b
1315cbb0559c0
149a69a7d095
15538c5826ce
hex2ee52a2a4b

201413241419 has 32 divisors (see below), whose sum is σ = 227214941184. Its totient is φ = 177148414080.

The previous prime is 201413241383. The next prime is 201413241433. The reversal of 201413241419 is 914142314102.

201413241419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-201413241419 is a prime.

It is a super-2 number, since 2×2014132414192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201413241319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130532762 + ... + 130534304.

It is an arithmetic number, because the mean of its divisors is an integer number (7100466912).

Almost surely, 2201413241419 is an apocalyptic number.

201413241419 is a deficient number, since it is larger than the sum of its proper divisors (25801699765).

201413241419 is a wasteful number, since it uses less digits than its factorization.

201413241419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 201413241419 in words is "two hundred one billion, four hundred thirteen million, two hundred forty-one thousand, four hundred nineteen".

Divisors: 1 13 23 299 461 947 1543 5993 10603 12311 20059 21781 35489 137839 283153 436567 461357 711323 1461221 5675371 9247199 10041041 16360429 18995873 33608083 130533533 212685577 436905079 673622881 8757097453 15493326263 201413241419