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402104042340 = 22357111323137449
BaseRepresentation
bin1011101100111110100…
…01001100001101100100
31102102220022200210110220
411312133101030031210
523042002113323330
6504420221044340
741023340652150
oct5663721141544
91372808623426
10402104042340
11145593281570
1265b1b9b66b0
132bbc2513100
14156677c2060
15a6d64ad710
hex5d9f44c364

402104042340 has 1152 divisors, whose sum is σ = 1615019212800. Its totient is φ = 72459878400.

The previous prime is 402104042321. The next prime is 402104042341. The reversal of 402104042340 is 43240401204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 402104042340.

It is not an unprimeable number, because it can be changed into a prime (402104042341) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 895554436 + ... + 895554884.

It is an arithmetic number, because the mean of its divisors is an integer number (1401926400).

Almost surely, 2402104042340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402104042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807509606400).

402104042340 is an abundant number, since it is smaller than the sum of its proper divisors (1212915170460).

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

402104042340 is a wasteful number, since it uses less digits than its factorization.

402104042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402104042340 its reverse (43240401204), we get a palindrome (445344443544).

The spelling of 402104042340 in words is "four hundred two billion, one hundred four million, forty-two thousand, three hundred forty".