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201304042398 = 23359419150797
BaseRepresentation
bin1011101101111010100…
…1111110101110011110
3201020121020001220101000
42323132221332232132
511244232313324043
6232251112131130
720354334061614
oct2733651765636
9636536056330
10201304042398
117841097a598
1233020396aa6
1315ca15410b4
149a593756b4
155382bb22d3
hex2edea7eb9e

201304042398 has 64 divisors (see below), whose sum is σ = 456013152000. Its totient is φ = 65806168032.

The previous prime is 201304042391. The next prime is 201304042417. The reversal of 201304042398 is 893240403102.

201304042398 is a `hidden beast` number, since 2 + 0 + 13 + 0 + 404 + 239 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201304042391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259536 + ... + 1410332.

It is an arithmetic number, because the mean of its divisors is an integer number (7125205500).

Almost surely, 2201304042398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201304042398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228006576000).

201304042398 is an abundant number, since it is smaller than the sum of its proper divisors (254709109602).

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

201304042398 is a wasteful number, since it uses less digits than its factorization.

201304042398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151286 (or 151280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201304042398 in words is "two hundred one billion, three hundred four million, forty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 419 531 838 1062 1257 1593 2514 3186 3771 7542 11313 22626 24721 49442 74163 148326 150797 222489 301594 444978 452391 667467 904782 1334934 1357173 2714346 4071519 8143038 8897023 17794046 26691069 53382138 63183943 80073207 126367886 160146414 189551829 240219621 379103658 480439242 568655487 1137310974 1705966461 3411932922 3727852637 7455705274 11183557911 22367115822 33550673733 67101347466 100652021199 201304042398