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402141431214 = 23319737802353
BaseRepresentation
bin1011101101000010111…
…11110100010110101110
31102102222221001100101000
411312201133310112232
523042041201244324
6504424034301130
741024303523465
oct5664137642656
91372887040330
10402141431214
11145602399366
1265b304277a6
132bbca1a42c3
141566c7559dc
15a6d98e69c9
hex5da17f45ae

402141431214 has 32 divisors (see below), whose sum is σ = 898183931040. Its totient is φ = 133366697856.

The previous prime is 402141431191. The next prime is 402141431221. The reversal of 402141431214 is 412134141204.

402141431214 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 414 + 31 + 214 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18890539 + ... + 18911814.

It is an arithmetic number, because the mean of its divisors is an integer number (28068247845).

Almost surely, 2402141431214 is an apocalyptic number.

402141431214 is an abundant number, since it is smaller than the sum of its proper divisors (496042499826).

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

402141431214 is a wasteful number, since it uses less digits than its factorization.

402141431214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37802561 (or 37802555 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 402141431214 its reverse (412134141204), we get a palindrome (814275572418).

The spelling of 402141431214 in words is "four hundred two billion, one hundred forty-one million, four hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 197 394 591 1182 1773 3546 5319 10638 37802353 75604706 113407059 226814118 340221177 680442354 1020663531 2041327062 7447063541 14894127082 22341190623 44682381246 67023571869 134047143738 201070715607 402141431214