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14241000378 = 2311231163073
BaseRepresentation
bin11010100001101010…
…00110101110111010
31100202110221202221110
431100311012232322
5213131144003003
610313042021150
71012622335353
oct152065065672
940673852843
1014241000378
116048745400
1229153477b6
13145c520157
149914ccd2a
1558538aa03
hex350d46bba

14241000378 has 48 divisors (see below), whose sum is σ = 31407824448. Its totient is φ = 4301510400.

The previous prime is 14241000373. The next prime is 14241000383. The reversal of 14241000378 is 87300014241.

It is an interprime number because it is at equal distance from previous prime (14241000373) and next prime (14241000383).

It is a super-2 number, since 2×142410003782 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14241000373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194250 + ... + 257322.

It is an arithmetic number, because the mean of its divisors is an integer number (654329676).

Almost surely, 214241000378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241000378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703912224).

14241000378 is an abundant number, since it is smaller than the sum of its proper divisors (17166824070).

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

14241000378 is a wasteful number, since it uses less digits than its factorization.

14241000378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63411 (or 63400 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 14241000378 in words is "fourteen billion, two hundred forty-one million, three hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 121 242 311 363 622 726 933 1866 3421 6842 10263 20526 37631 63073 75262 112893 126146 189219 225786 378438 693803 1387606 2081409 4162818 7631833 15263666 19615703 22895499 39231406 45790998 58847109 117694218 215772733 431545466 647318199 1294636398 2373500063 4747000126 7120500189 14241000378