Search a number
-
+
334111041200442 = 231119361014299209
BaseRepresentation
bin100101111110111110100100…
…1111011010010000100111010
31121210222200222220221111010210
41023331331021323102010322
5322243033403021403232
63142332254323451550
7130242504031621602
oct11375751173220472
91553880886844123
10334111041200442
1197504773556590
1231580b5b826bb6
13114576c777090c
145c710bc6d9c02
152895edcd095cc
hex12fdf49ed213a

334111041200442 has 64 divisors (see below), whose sum is σ = 732866861877120. Its totient is φ = 100704648192000.

The previous prime is 334111041200441. The next prime is 334111041200483. The reversal of 334111041200442 is 244002140111433.

It is a happy number.

It is a super-2 number, since 2×3341110412004422 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334111041200441) 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, 75564934 + ... + 79864142.

It is an arithmetic number, because the mean of its divisors is an integer number (11451044716830).

Almost surely, 2334111041200442 is an apocalyptic number.

334111041200442 is an abundant number, since it is smaller than the sum of its proper divisors (398755820676678).

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

334111041200442 is a wasteful number, since it uses less digits than its factorization.

334111041200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305519.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 334111041200442 its reverse (244002140111433), we get a palindrome (578113181311875).

The spelling of 334111041200442 in words is "three hundred thirty-four trillion, one hundred eleven billion, forty-one million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 193 386 579 1158 2123 4246 6101 6369 12202 12738 18303 36606 67111 134222 201333 402666 1177493 2354986 3532479 4299209 7064958 8598418 12897627 12952423 25795254 25904846 38857269 47291299 77714538 94582598 141873897 283747794 829747337 1659494674 2489242011 4978484022 9127220707 18254441414 26229474109 27381662121 52458948218 54763324242 78688422327 157376844654 288524215199 577048430398 865572645597 1731145291194 5062288503037 10124577006074 15186865509111 30373731018222 55685173533407 111370347066814 167055520600221 334111041200442