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402142330314 = 23319253389227
BaseRepresentation
bin1011101101000011000…
…11001111110111001010
31102102222222202000201000
411312201203033313022
523042041414032224
6504424105435430
741024314256664
oct5664143176712
91372888660630
10402142330314
1114560295291a
1265b3079bb76
132bbca42a60a
141566c90b534
15a6d9a230c9
hex5da18cfdca

402142330314 has 96 divisors (see below), whose sum is σ = 960957224640. Its totient is φ = 124595913312.

The previous prime is 402142330313. The next prime is 402142330327. The reversal of 402142330314 is 413033241204.

402142330314 is a `hidden beast` number, since 4 + 0 + 2 + 14 + 2 + 330 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (402142330313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838569 + ... + 1227795.

It is an arithmetic number, because the mean of its divisors is an integer number (10009971090).

Almost surely, 2402142330314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402142330314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480478612320).

402142330314 is an abundant number, since it is smaller than the sum of its proper divisors (558814894326).

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

402142330314 is a wasteful number, since it uses less digits than its factorization.

402142330314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389329 (or 389304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 402142330314 its reverse (413033241204), we get a palindrome (815175571518).

The spelling of 402142330314 in words is "four hundred two billion, one hundred forty-two million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 361 477 513 722 954 1007 1026 1083 1431 2014 2166 2862 3021 3249 6042 6498 9063 9747 18126 19133 19494 27189 38266 54378 57399 114798 172197 344394 389227 516591 778454 1033182 1167681 2335362 3503043 7006086 7395313 10509129 14790626 20629031 21018258 22185939 41258062 44371878 61887093 66557817 123774186 133115634 140510947 185661279 199673451 281021894 371322558 391951589 399346902 421532841 556983837 783903178 843065682 1113967674 1175854767 1264598523 2351709534 2529197046 3527564301 3793795569 7055128602 7447080191 7587591138 10582692903 14894160382 21165385806 22341240573 44682481146 67023721719 134047443438 201071165157 402142330314